diff --git "a/data/dm_maths/full_data/10918_11255.jsonl" "b/data/dm_maths/full_data/10918_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10918_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {g: 4, n: 3, f: 2, d: 8}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let o be j + -2*5\/(-2). Factor 2 + b**2 - b**2 - o*b + 2*b**2.\nAnswer: 2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4 = -6. Let o be w\/(8\/12 + 0). Let n be (-34)\/10 - 9\/15. Sort n, 2, o in decreasing order.\nAnswer: 2, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8196 and 14?\nAnswer: 57372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*x + 16, -5*x + 2*l + 585 = 605 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -136440, -1.3.\nAnswer: -136440, -1.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150672457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29952 and 5952.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 571 and 3.\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 74 = -l, -4*l + 86*q + 9 - 41 = 88*q for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 29*p + 5. Let a(t) = 276*t + 48. Suppose 4*x + k = 11 + 8, 5*x = 3*k + 28. Calculate x*a(z) - 48*h(z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*u - 20550, 5658 = 2*p - u - 2565. Calculate the highest common factor of p and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*x + 3372 + 237 = -631 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-172 - 176 - 13*d + 349)*(-82 + 138 + 2) to the form b + y*d and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l**3 - 5549*l**2 + 3026*l - 1970. Give r(-505).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 4*p - 5. Let z be r(5). Let b = -36 + z. Factor -1\/5*g**5 + 0*g**3 + 0 - 3\/5*g**b + 4\/5*g**2 + 0*g.\nAnswer: -g**2*(g - 1)*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33333*a**5 + a + 2087 wrt a?\nAnswer: -666660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 58.3, -11660, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1858141*a**3 - 14*a**2 + 5487*a wrt a.\nAnswer: 11148846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 8:56 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -823 - -0.4?\nAnswer: -822.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13866 is divided by 13860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 4, i: 9}. Give prob of picking 1 m and 1 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 11 = 51. Sort 0, j, -4, 2 in descending order.\nAnswer: 2, 0, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 7. Let o be m(-3). Suppose -o*n + 15 = -5*n. Let w be -2*n\/(-24)*-4. Which is the second biggest value? (a) -2\/15 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, -4\/11, -5\/3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*d + 336 = -120*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 (base 12) in base 16?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i + 37*i - 6*i**4 + 2 + 4*i**4)*(-2 + 12 - 1).\nAnswer: -18*i**4 + 234*i + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*19\/((-1425)\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, r: 4, t: 2, y: 1}. What is prob of picking 1 f and 3 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = -6 + 6. Suppose s*f = 9*f - 201897. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53713247.\nAnswer: 7, 19, 251, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3329172 by 52844.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -211. Let d = h + 67. Solve -q + 5*q + 4*f - 16 = 0, -2*f + 4 = d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -702, 1\/2, 74, -3.1, -4, -2?\nAnswer: -702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y. Let p(l) = l**3 - 21*l**2 + 4. Let u be p(21). Let j(t) = 4*t + 7*t - u*t. Give g(j(k)).\nAnswer: 56*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.834664 from -5.\nAnswer: -2.165336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 1)*(4 - 3 + 2)*(0 - 3 + 1)*(-4*b**5 + 5*b**5 + b**5).\nAnswer: 60*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -1)\/((-3)\/(-2)). Suppose l*s - 9 = -d, s + s - 2*d = 12. Suppose 3*k - 28 = -g, 2*k - s*g = 9 + 4. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 246, 217, 166, 87, -26, -179, -378?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5))\/(o*o\/((o*o\/(o\/o**1))\/o)*o)*(o\/(o\/o**3)*o*o)\/(o\/o**3) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138746.\nAnswer: 2, 173, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k - 12. Let w be x(-4). Solve w*i = -3*o - 14, i - o + 3 = -4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.83 * 0.5.\nAnswer: -1.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*l + 4 = 2*l, 5*h = -4*l + 18. Differentiate -3*b + h*b - b - 1 - b with respect to b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 10. Let u be t(11). Let d be (-7)\/(-1) + -3 + u. Suppose 3*s = -g - 0*g + 228, d*s - 3*g - 366 = 0. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -0.3. Let f = -10878.0002 - -10877. Let l = g - f. What is l rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58108734 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*o - 266, 18 = -2*i + 5*o + 121. What is the greatest common factor of 928 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*l**3 + 582*l**3 - 285*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 - (-4 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - -19 - (-82 + 74))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5504 (base 6) in base 13?\nAnswer: -763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 29*r**4 + 230*r**3 - 604*r**2 + 504*r.\nAnswer: r*(r - 18)*(r - 7)*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 17*d**2 - 14*d + 15. Let m be k(11). Let f = m + 6949. Suppose 588 = 3*u - f. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -346 + 319. Let u(d) = d**3 + 29*d**2 + 57*d + 75. Let c be u(i). Let t(j) = -2*j - 9. What is t(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.299 + 0.479. Which is the nearest to 2? (a) o (b) -0.4 (c) 5 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2*sqrt(56))\/sqrt(8) + -5 + -1 + 2)**2.\nAnswer: -16*sqrt(7) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*i - 7, 3*i - 13 = -2*c + 12. Suppose 204 = -c*y + 10*y. Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -7*m - 3*p + 2, p = 5*m - 6. Let a be -1*m*(-4 - -2). Let u(r) be the second derivative of r**4\/12 - r**3\/2 + 3*r**2\/2 + 2*r. Give u(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, f: 3, r: 1}. What is prob of sequence ff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**4\/4 - 345*z**3\/2 + 9297*z**2 - 315711*z\/2 + 1577961\/4 = 0.\nAnswer: 3, 33, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -25*r**3 - 5516*r**2 - 6. Let q(p) = -4*p**3 + p**2 - 1. Determine i(g) - 6*q(g).\nAnswer: -g**3 - 5522*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*n*o + 34*n + 8409*o wrt n.\nAnswer: -36*o + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b**3 + 3*b + (-2*b + 1 - 1)*(2*b**2 + 3*b**2 - 3*b**2) + b**3 + b**3 - b**3)*(1096*b**2 + 894*b**2 - 2559*b**2).\nAnswer: 2276*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n - 8 = 0. Suppose n*i + 3*c - 48 = 0, i + c = 2*c + 34. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -65. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 88. Suppose 0 = -r + 4*y - z*y - 9, 0 = 2*r - 2*y + 8. Let p(x) = -x**2 + 17*x - 33. Let a be p(14). What is the highest common factor of a and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 175*l**2. Let g be (-1)\/(-2) + 204\/8. Let w(d) = -d - 26 + 2*d + 0*d + g. Give w(y(t)).\nAnswer: 175*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 12*v + 77. Let a be f(-4). Let g(o) = 2*o. Let t(u) = -u. What is a*t(c) - 2*g(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 381.5 - 57.5. Let p = h + -324.00037. What is p rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:44 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 1619036 - 10753764. Suppose 0 = -21*d - 16*d - w. What is d rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/(-4) - -1). Let o = 13\/10 - 61\/70. Which is the third smallest value? (a) o (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u + 195. Let t(x) = -8*x + 391. Let v(f) = -2*t(f) + 5*w(f). Suppose -5 = -d + 3. Calculate the remainder when v(43) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 2*g**2 + 2. Let q be s(-2). Let r(t) = -2 + t**2 - t**q + t**2. Calculate the remainder when r(-3) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -243900 rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 + (-3)\/(-4). Let y be 5\/((-15)\/(-6)) + 0. Suppose -6*l = -y*l + 16. Put l, v, 1 in ascending order.\nAnswer: l, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 3 (b) 4\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(3 - 6) - 1. Suppose 0 = g - 0*g. Suppose g*x - 4*x = 0. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:37 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -593*n - 842*n - 413*n in the form p*n + a and give p.\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675356 is divided by 441?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 7*r**6\/33 + 38*r**5\/55 - 27*r**4\/22 - 86*r**3\/33 + 56*r**2\/11 - 24*r\/11 - 55. What is j in w(j) = 0?\nAnswer: -3, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8619\/46 - -375\/2. Let z be 8\/24*(-2 + 5). Is z < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4866, 4869, 4872, 4875, 4878, 4881?\nAnswer: 4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 649 + 218 + 465 + 714 + 950.\nAnswer: 2*q + 1698","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5933927 millimeters in centimeters?\nAnswer: 0.05933927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*x = -12, a + x - 12 = -2*x. Suppose a = h - 2 - 1. Suppose -4*y + 5*q = -232, h*y - 6*q - 171 = -3*q. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22*53832\nAnswer: -11843.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3\/3 + 26380*c**2\/3 + 34795220*c\/3 = 0.\nAnswer: -2638, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 7630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. What is the remainder when w is divided by 6 - 25*(-6)\/(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9\/(y*y*y*y**(-4\/9)*y))**44)**(-9\/7) assuming y is positive.\nAnswer: y**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152\/3*y**4 + 92\/9*y**5 + 52\/3*y + 608\/9*y**2 - 8\/9 + 808\/9*y**3 = 0. What is y?\nAnswer: -2, -1, 1\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 + 6*q + 5. What is the least common multiple of 6 and j(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -66*u**2 + 3*u - 28. Let r(x) = -2*x**2. Determine t(r(h)).\nAnswer: -264*h**4 - 6*h**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5480638903 to the power of 1\/2, to the nearest integer?\nAnswer: 74031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 9:04 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 2*c**2 - 3*c + 3. Suppose -4*g + 29 = -3*h, 2*g - 10 = 5*h + 3*g. Give y(h).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 9 + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {d: 2, y: 2, v: 1, c: 3, n: 1, l: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1. Suppose -10*s = 3 + 37. Let c(d) = 4*d + 5. Let w(z) = s*x(z) - c(z). What is w(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39\/5 - -37\/5. Let a = -125 + 126. Let i be (-4)\/10 - 66\/(-15). What is the nearest to 0.1 in a, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53721 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**4\/24 + r**3\/2 + 5*r**2. Let g(h) = -h - 1. Let l(q) = -a(q) - 6*g(q). Find the first derivative of l(w) wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 20357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 716, 870, 1128, 1490, 1956?\n\"Answer: 52*w**2 - 2*w + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 609\/36*2528\/2212. What is t in 14*t**3 + 8\/3*t - y*t**2 + 8\/3 = 0?\nAnswer: -2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*h + 87*h - 2*h - 47*h.\nAnswer: 196*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 32 = -245*a + 242*a, 3*o + 2*a - 15 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*t + 8, t = -5*n - 0*t - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 3538846850.8?\nAnswer: 3538846851.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(2*75\/(-20))\/(120\/(-200))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2043 + 159*l**3 + 2041 - 6123 + 2037.\nAnswer: 159*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991216267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -0.5 (c) -0.3 (d) 0.4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5405776 = 216*d + 836296. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 divided by -107?\nAnswer: -249\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + -1*(sqrt(1216) - ((sqrt(1216) - (sqrt(1216) - -3*sqrt(1216)))**2 - sqrt(1216))) + 4 + sqrt(1216) + 0 + -6*(sqrt(1216)*-2 - sqrt(1216)) + 5 + 4.\nAnswer: 136*sqrt(19) + 10964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 22 - 31. Sort -37, a, 5.\nAnswer: -37, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -3*(-20)\/42. Is -4\/5 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.1 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/((-369)\/164).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4*(-1)\/(-4))\/(2\/(-22)). What is the highest common divisor of 781 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 105*p - 25. Let u(w) = -w**2 + 53*w - 10. Calculate -5*u(h) + 2*y(h).\nAnswer: h**2 - 55*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 15404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - 4398542263452.\nAnswer: -4398542263452.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 18*m + 7. Let o be j(14). Suppose -3*r - k = -144, -k - o = -5*r - 103. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 + 119*c**2 + 54*c + 368. What is n(60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 12*u**2 - 9. What is r(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5506*u + 5994 = -5284*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*b**2 + 1 + (-b + 3*b - b)*(2*b - 2*b + b)*(22 + 6 - 6) to y + v*b**2 + i*b and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 u when four letters picked without replacement from bhbxhbuuxb?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1863.012 to zero decimal places.\nAnswer: -1863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1221 in -4, -0.1, -39\/2?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -363000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/16)\/((-2)\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 14 = -a + 2, 1 = a. Suppose c*d + 5 = 3*z + 2, 0 = -5*d + 2*z + 1. What are the prime factors of -1*(-13 + (d - -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.003 + -3.003. Sort u, -1, -5, -2 in descending order.\nAnswer: -1, -2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362871031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 181991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 386681895567 take away -0.8?\nAnswer: 386681895567.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-4)\/(-4) + 0. Suppose -q + 9 = 3*g. Factor g*d**2 + 5*d**2 + 8 + 4 - 12*d - 4*d**2.\nAnswer: 3*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162525.9704 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-14)*(-8442)\/(-69948))\/(-1).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1)**(-16\/3))**(-20\/11) assuming s is positive.\nAnswer: s**(640\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n**3 + 584 + 584 - 1182 + 7*n**4 - 3*n**4 - 2*n**4 - 3*n to w*n**2 + c*n**4 + m + l*n**3 + b*n and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - 2*sqrt(180))\/sqrt(9) + (-3*sqrt(140))\/sqrt(7))\/(sqrt(32)\/(sqrt(6)\/sqrt(3) + sqrt(2))*1) + 5.\nAnswer: -4*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4291\/31866 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33, 38, 43, 48, 53, 58?\n\"Answer: 5*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let t(x) = x. Let h(r) = 2*l(r) - t(r). Let n(g) = -2*g**2 - 2*g + 3. Let p = -9184 - -9186. Determine p*h(w) + n(w).\nAnswer: -2*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10334450 (base 8) to base 2\nAnswer: 1000011011100100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826999417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9938.\nAnswer: 2, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 52*f - 48. Let u be d(1). Suppose 0 = 2*i - 3 - 3. Solve -r + u = 3*p + 12, i*r = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 + -3. What is the closest to 0.1 in 3, f, -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = g + 4*v, g + 4*v + 4 = 0. Let u be (0 + 6\/(-4))*-2. Put g, 5, u in descending order.\nAnswer: 5, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 9:30 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24368699567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 + -2.43. Let c = -0.77 + v. Let j = c + 3. Which is bigger: j or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1, 1\/2, -0.1, 0.0015?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 25*t = -30899. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.843 take away -71484?\nAnswer: 71538.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/15 - 2368*w**2. Let m(u) = -17*u - 3. Determine r(m(j)).\nAnswer: 1156*j**2 + 408*j + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1393 = 2*g, 0*m = -2*g + 2*m - 1378. Let r = -71 - g. Let j = r - -60. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.0506 - -3.2506. Which is the nearest to -2\/7? (a) p (b) -4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 4*m**2 + 4*m**2)*(-3*m - 2*m + 3*m) - m**3 + 1 - 1 + 2 - 2 - 2*m**3 + (0*m - 2*m - 5*m)*(3*m**2 - 3*m + 3*m).\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3. Suppose d = 2*j - j - 4. Find the second derivative of j - n - 4 + n**3 wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -496 - -453. Let k be y\/(-14) - (-10)\/(-4). Factor 0 - k*f - 2\/7*f**2.\nAnswer: -2*f*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2604c (base 14) to base 16\nAnswer: 16cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14.73686 times 0.2\nAnswer: 2.947372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62593643 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 14) to base 12\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:02 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4064\/363575 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 32*i**3 - 5*i**2 + 2*i + 15. What is a(3)?\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5, -5*d = -3*n + 2*n - 22. Solve 0 = n*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 21 = 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/12 - 13*w**3\/6 + 9*w**2\/2 + 6*w. What is the units digit of y(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (4 + 1 + 0) - 4 - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 225143 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3 - 201159*s**2 - 2816667*s - 9858849 = 0?\nAnswer: -7, 67067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1635 - 171 = 0. Let z = 316 + v. What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8260223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 - -44?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 863144653 + 0.094\nAnswer: 863144653.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 2*c - 7. Let s = -4 - -14. What is the lowest common multiple of q(5) and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15*(1\/(-9) - 0). Which is greater: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 81 = 5*c + 52, 5*k = -4*c + 415. Let j = k + -35. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3946895 and 4007?\nAnswer: 3946895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l**3 + 6*l**2 - 9*l + 15. Let g(k) = -k**3 + k**2 - 3*k + 1. Let d(q) = -6*g(q) + w(q). Let r(j) = j + 1. Give -2*d(c) + 18*r(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28614 is divided by 2841?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(192) - sqrt(192)*-1)\/sqrt(4) - sqrt(288)\/(sqrt(18)\/sqrt(3)*-2).\nAnswer: -46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1848 = -15*a + 12*a. Is 619 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124313 + -312?\nAnswer: 124001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024558 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 123331 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/23)\/m*m**9\/m*m**(2\/17)*m**8*m)**(-20) assuming m is positive.\nAnswer: m**(-126720\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Suppose -3*l = -m - 108, -l - v*m - 99 = -4*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6483749817 minus -2?\nAnswer: 6483749819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + (-70)\/25 + 2288\/10.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 66.03967 tonnes?\nAnswer: 66039670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1829968 and 87\/6404888.\nAnswer: 12809776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 10\/3, 1\/2, -1.6 in decreasing order.\nAnswer: 10\/3, 1\/2, -0.2, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(153) + -4)**2 - (-1*(sqrt(187)*1 + sqrt(187)) - sqrt(187))\/sqrt(11)) + -5.\nAnswer: -45*sqrt(17) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1325759 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:20 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2233.\nAnswer: 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 62.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 - 42?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 375 and 133305?\nAnswer: 3332625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17392 in 0.5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + -13 - -25) + (-9 - -12) + (-1 - 48)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98978017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 12) to base 10\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, 12\/11, 1, -0.1.\nAnswer: -0.1, 0.28, 1, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000653449 to seven decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88752761 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n + 6*n - 72. Let r = -0.2 - 0.2. What is the second biggest value in n, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p. Let h = 0 - -6. Suppose -l + h = l. Let x(s) = -s - l*s + 2*s. Determine x(m(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214371 is divided by 609.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 0.0505?\nAnswer: 4.0505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 132 - 32. Suppose f*k + k - 1456 = 0. What is the least common multiple of k and 35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653677 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26882 is divided by 448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/5 and -131\/582?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5940000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10035.\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 1. Let c be 2\/(s\/(-1)) + 9. Suppose 23*t = 20*t + 330. Calculate the highest common factor of c and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/(-6))\/((-2)\/4). Let y = -47861\/8 + 5993. What is the common denominator of 1 - ((-432)\/j)\/4 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = 0, 5*t + 8 = 2*s - 8. Let o be 4 + s - 4\/2. Solve 3*j + o = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41346 divided by 8?\nAnswer: 20673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 - 7638050?\nAnswer: -7638197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 35534039.5 and 0.2.\nAnswer: 35534039.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2\/8*2. Let x = 41.742 + -39.742. Which is the nearest to v? (a) -3\/2 (b) x (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 7*c - 24. Let n(o) be the first derivative of 1\/6*o**c + 4\/3*o + 5\/3*o**2 + 8\/9*o**3 - 9. Determine s so that n(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261856.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144006 divided by 7.\nAnswer: -144006\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20146 + -19326. What is the remainder when b is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - x + x + 4*x + 1. Let w(o) = -o**3 + 18*o**2 + 21*o - 35. Let u be (-5)\/((-20)\/84) + -2. Let l be w(u). Determine f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Suppose -2*z - 2*w + w = -452, -4*w - 667 = -3*z. Suppose a*r = -t + 48, -4*t = -9*t + 5*r + z. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 1, 4, 8145, 5 in decreasing order.\nAnswer: 8145, 5, 4, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5561\/134)\/83*-150?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + -6 + -4 + 26 + -37?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 161. Solve -3*j - x = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 4*b**2 + 16*b - 4. Let h be m(4). Calculate the highest common divisor of h and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 4. Let r be o(8). Suppose -r*v = -5*k - 13, 3 = -k + 2. Factor -4*m**3 + 2*m**3 - 4*m**4 - 5*m**3 + 2*m + 5*m**3 + 4*m**v.\nAnswer: -2*m*(m - 1)*(m + 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25751*h**2 - 25751*h**2 + 571*h**4 + (0 + 0 - 1)*(2*h**4 - h + h) - 14 + 14 + 13*h**4.\nAnswer: 582*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/3*(-6435)\/13 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 265*q**3 + 2*q**2 + 2*q - 2. Let h(o) = -531*o**3 - 5*o**2 - 5*o + 5. Determine -2*h(u) - 5*y(u).\nAnswer: -263*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t - 12*t + 8*t to the form j*t + u and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 23813*i + 6744. Let h be r(-38). What is h rounded to the nearest 1000?\nAnswer: -898000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52859 is divided by 8799?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 349458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1094221 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.05. Let r = i - 4.05. Let m = -390.9 - -391. Which is the closest to m? (a) r (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2*-4 + sqrt(171) + -4 + -2 + -1 + 4*(sqrt(171) + 0) + (5*sqrt(171)*-1 - sqrt(171)) + sqrt(171) + sqrt(171))**2.\nAnswer: -378*sqrt(19) + 13900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o + o)*(5 - 2*o**3 - 5) - 2*o**2 + 2*o**4 + 2*o**2 + 2*o**4 - 2*o**4 - o**4 - 3*o**4 + 2*o**4 + 0*o**4 + 3.\nAnswer: 2*o**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*q + 159 + 3067 = -806. What is the least common multiple of 2288 and q?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232737 divided by -232737\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074 times 0.96?\nAnswer: 1991.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -4*v - 2*b + 210, 5*b - 62 = -2*v. Suppose -5*u + 208 = 3*g + 53, -4*u + 280 = 5*g. What is the remainder when g is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -1\/3*a**6 + 3\/5*a**5 + 0*a + 1\/2*a**2 + 1\/4*a**4 + 4 - a**3. What is t in s(t) = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*4\/(-24))\/(160\/24).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 4*z + 6. Let p be 1 + -5 - (-6)\/z. Let t(x) = -25*x**3 + x + 1. Calculate the remainder when t(p) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -123*a - 193. What are the prime factors of g(-12)?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + 2 + (-18 - -30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -5597*l**4\/24 + l**3\/3 + 7*l**2 - 33*l. Let q(i) = i. Give g(q(u)).\nAnswer: -5597*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1.08. Let v = -0.38 + s. Sort v, 3\/2, 2\/3 in increasing order.\nAnswer: v, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-15) - 1)\/(8\/80). Solve q + g*q = 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/3090 and 109\/230?\nAnswer: 71070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 times -36183.93?\nAnswer: 11217.0183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 47 = -t + 82 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-60)*(-1)\/2. Which is the third smallest value? (a) 5\/3 (b) -8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 46?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-2) + 3\/(-6). Suppose -4*v + 17 - 1 = -2*f, -3*v + x*f + 22 = 0. Which is smaller: 8\/9 or v?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8185.\nAnswer: 5, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -646, -1299, -1952, -2605, -3258, -3911?\n\"Answer: -653*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251261 to the power of 1\/2, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 8 - 336*l + 335*l in the form d + h*l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:54 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -353326, -353325, -353324, -353323, -353322, -353321?\n\"Answer: r - 353327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101100100110111011 (base 2) in base 3?\nAnswer: -2210212121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -4*r - 80 + 100, r = 3*t + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -769*l - 79*l + 40704 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 158*j + 1. Let b be m(-53). Let u(o) = -7*o + 1. Let k be u(5). Let h = k + b. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and -617807.\nAnswer: 86492.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*a + 9, 3*a = 1 - 10. Suppose 0 = n + 2 - h. Suppose 0 = -n*p - 2*m - 12 + 34, 0 = -p - 2*m + 4. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-8)*(d*d**(-9)*d)\/d)\/(d**2\/d**(-9)) assuming d is positive.\nAnswer: d**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 82825, 0.4, 241?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -123342 (base 6) in base 7?\nAnswer: -44336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4284 - 4243. Suppose u - 140 = -u. Suppose 0 = 4*i - i + 3*b - 24, 5*i = 5*b + u. Calculate the remainder when c is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10079\/72 - 1225\/9. Calculate the common denominator of -43\/3846 and q.\nAnswer: 15384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57\/5 of a tonne?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143917 divided by 340?\nAnswer: -143917\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4508 and 33810.\nAnswer: 67620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*i + l, -4*i = -5*l - 36 + 11. Suppose 3*y - j - 165 = 0, -i*y + 2*j = 6*j - 258. Suppose -r + y = 2*r. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -59 (b) -0.5 (c) -79 (d) 3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 - 7*x + 10. Let t(n) = 6*n**2 + 12*n - 18. Give -11*p(l) - 6*t(l).\nAnswer: -3*l**2 + 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05661 to three dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12418.\nAnswer: 2, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 9*y - 4. Suppose -x + 0 = 8. Let c be m(x). Let a(h) = -2*h + 4*h - c*h. Let b(k) = -7*k. What is a(b(s))?\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 - 11 = 0. Let h be ((-4)\/r - -6) + -3. Which is the nearest to 1\/2? (a) 1\/5 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100389 is divided by 326.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*z - 684 = 0, 0*p + 3*z + 708 = -4*p. Let n = p - -560. Is n a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10275 divided by 411\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 10 + 36. Let l = i + -54. Let t = l + 106. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165*s - 614*s + 1329*s = 4441 + 3079 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/6 + 11*l**3\/6 + 3*l**2 - 5*l. Let y be h(6). Suppose -2*i + 6 = y, 2*i + 2*i - 147 = -5*t. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 326 - 1621\/5. Factor -g*y**3 + 12\/5*y**2 - 3\/5*y + 0.\nAnswer: -3*y*(y - 1)*(3*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:45 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 - 114. Let q = c + -33. Let x = 21 - q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k**2 - 49*k**2 - 5*k**2 + 1226*k**3 - 1229*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -1. Let z be 8\/l - (-22)\/3. Let p(g) = g**3 + 10*g**2 + 8*g. Let s be p(-8). Calculate the greatest common factor of z and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k + 2. Let c = 20 - 16. Let s be d(c). Let z be (-27)\/s - 20199997\/2. What is z rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/60 + t**4\/4 - 7*t**3\/2 + 5*t**2. What are the prime factors of p(-14)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 109\/351?\nAnswer: 109\/351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1461411, -1461422, -1461433, -1461444, -1461455, -1461466?\n\"Answer: -11*q - 1461400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138710692?\nAnswer: 2, 34677673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25191257?\nAnswer: 7, 13, 276827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0 + 1 - 22 + 13*s - 1. What is the hundreds digit of b(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*q**2 + 721*c*q - 22369490*c + q**2 + 6009*q wrt q?\nAnswer: -4*c*q + 721*c + 2*q + 6009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*q**2 - 9639*q + 615810 wrt q.\nAnswer: -72*q - 9639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-285)\/171)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - 2*t**2 + 2*t**2 - t**4 - t**5 + t**4 + (4*t**4 + 2*t**5 - 4*t**4)*(-4 + 3 - 1) - t**5 - 2*t**5 - 4*t**5.\nAnswer: -13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 8. Let v be 4*d\/(-4)*3. Let p = 181 + -163. What is the highest common factor of p and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 6, 168*s - 169*s + 3*t = -22. Let r(x) = 5*x + 1. Let b be r(3). Solve 4 + b = s*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85.078 - 85. Round k to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 31 = -185. Let s be h\/(-16)*(-4)\/(-6). Let c be -1 + (8 - (s + 6)). Solve 5*k - c = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1931023 - -1931023.949939. Let m = -41.05 - -42. Let q = p - m. What is q rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60587373 by 20195791.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 - k + 24. Let x be u(0). Let s be (-16)\/x - 2\/(-3). Suppose s = -p + 9 + 3. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y**3 - 79*y**3 + 2*y**3.\nAnswer: -98*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2)\/(b**6\/b)*(b**(2\/9)*b*b)**(-24))**(5\/9))**(-16\/7) assuming b is positive.\nAnswer: b**(14480\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*z = -208040, -5*g + z - 5475 = 514637. Let x = g + 7023. Round x to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 4\/5, 4, -2\/7, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6388624538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 205, 191, 161, 109?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(0*v**3 - 3*v**3 + 0*v**3).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - 4 - (0 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186965 + 46688 = 1932*x + 203*x + 50043 for x.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-124)\/(-44) + 4\/22. Let u(l) be the second derivative of 0 + 1\/48*l**4 + 0*l**g - 1\/8*l**2 + 2*l. Let u(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 11, e: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74185741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4)*(-8 - 2 + 11 + 2*d).\nAnswer: -8*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 6*l**3 + 10*l**2 - 10*l**4 - 6*l - l**2 + l**4 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*s - 2 = -4*v + 55*s, 4 = 2*v - 2*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1, 0.072 in decreasing order.\nAnswer: 1, 2\/7, 0.072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 2*c - 3*c + (2 - 1 + 1)*(-6*c + 4*c + c) - 3 + 3 - c + (17 + c - 33 + 11)*(0 - 3 + 2))*(-c + 0 + 0) in the form g*c**2 + n*c + b and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Let t be -1*q\/6*48. Calculate the highest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1671 and 7195883.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754882 a multiple of 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*z = 20, -3*i + 2*z - 8 = -i. Put 146, 0, i, -1 in decreasing order.\nAnswer: 146, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*l + 22*l + 4*l = -1407 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1022*(-6 + 318\/(-12)) + 12\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -3. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -168. Suppose 130*m - 2688 = k*m. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 14*o - 1. What is the units digit of s(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*s = 3*b - 604*s - 13, 5*b + 3*s - 19 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45375100*x + 3345003 with respect to x.\nAnswer: 45375100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-1\/13)\/s)))\/(s**(4\/3)\/s))\/(s\/s**(1\/10)*s*(s**(4\/7)\/s)\/s)*((s*s**(-5\/2)\/s)\/s**(-1))\/(s**(-5)\/(s*s\/(s**(6\/7)*s*s))) assuming s is positive.\nAnswer: s**(1039\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168 + 140. Is (-2)\/7 - 94732\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 0. Let b = 28 - 29. Is z < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Let i = -4 + l. Let v = 1\/360 + -737\/6120. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 a factor of 4284414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five halves of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-1 - -1) + 6. Let z be w - (2*-1 + 2). What is the third biggest value in -2\/17, 1, z?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f3 + 5?\nAnswer: 2f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -0.0421973.\nAnswer: -0.0578027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 43*g + 319. Give c(-9).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/132 and -103\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1213342 (base 5) to base 8\nAnswer: -54674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*m = -730*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127901780323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 67.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25272024?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-6)*(-21)\/14. Let y be (3 - 2\/w)*-2. Is (y\/(-4) - -136) + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m - m**3 + 5*m - 11*m in the form j*m + y + c*m**2 + u*m**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 6384?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3212 and 6?\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4088 + -45.302593.\nAnswer: 4042.697407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 45, 57, 51, 21, -39, -135, -273?\n\"Answer: -w**3 + 31*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x. Let t(g) = -3*g + 4. Let r(w) = 4*w - 7. Let b(z) = 5*r(z) + 7*t(z). What is b(a(f))?\nAnswer: 11*f - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 27. Solve -n*x + 3 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 2*p - 1155 = 0. Suppose -5*a = 30 - p. Suppose -5*s + 25 = -5. What is the remainder when a is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12526 by 843.\nAnswer: -12526\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + 153?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -481, 4, -491, 1 in decreasing order.\nAnswer: 4, 1, 0, -481, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**2 + 7*g + 3. Let f(x) be the third derivative of 0*x + 0 - x**2 - 1\/6*x**3 + 1\/30*x**5 - 1\/8*x**4. What is 5*f(l) + 2*h(l)?\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i**2 + 3*i - 2. Give k(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484963 is divided by 742331.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18)\/((108\/(-24))\/(7\/((-28)\/(-2748)))) is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32231484 divided by -4?\nAnswer: 8057871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/((-1071)\/18)*(-56)\/(-24)*3. Let q = 2 - 6. Sort x, q, -13, 3.\nAnswer: -13, q, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4*q)*(3 - 2 - 2) + q + 0*q + 0*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*d**4*v**2 - 2*d**4 - 16*d**3*v + 941*d**2*v**2 + 3*d**2*v wrt d.\nAnswer: -480*d*v**2 - 48*d - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715)*-4)\/(sqrt(30)\/(sqrt(24)\/sqrt(4))))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -2.1.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-14))\/4*1680\/80.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1368*f - 92. Let l(k) = -282*k + 19. Let t(g) = -5*h(g) - 24*l(g). Let u(x) = 3*x**2. What is u(t(b))?\nAnswer: 15552*b**2 - 1728*b + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5 - 18*o**4 + 12*o**3 + 18*o**2 - 15*o = 0. Calculate o.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -2 - -1 - (-2115 - -2123).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4, 0 = -0*n - 4*n - 5*y. Suppose n*z = 20 + 5. Solve z = -l + 2*a, 5*l - a = -2*a - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -88. Let u be (22\/(-4))\/(((-8)\/(-16))\/j). What is the tens digit of (-2)\/u - 56\/44*-212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -44*j + 359. Let p be t(8). Solve -q = -2*h - 6, -4*h + q - p = 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75.6 + -94. What is c rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5351?\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364635482?\nAnswer: 2, 17, 149, 167, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/t**(-2)))*t)**(9\/8)*(t**(-2\/5)\/t)**(-36))**34)**(-17) assuming t is positive.\nAnswer: t**(-158661\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**2\/2 - 2*j - 5. Let w be k(-2). Let c(d) = d**2 + 3*d + 4. Calculate the least common multiple of c(w) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1074\/7, -3, -0.1, -2 in descending order.\nAnswer: -0.1, -2, -3, -1074\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 126905 (b) 2\/11 (c) 1 (d) -0.02 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 591 + 96145*v**2 - 5*v + 4174*v**4 - 96145*v**2 wrt v?\nAnswer: 50088*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*-4 + -1. Let y(j) = 12*j - 7. Suppose 3*a + 18 = 4*a. Calculate the remainder when y(s) is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 5*b**2 + 4*b - 2. Suppose 15 + 25 = 4*p. Let j = 5 - p. Let l = j + 1. Determine h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*r = 46, -2*h - 4*r + 29 = 9. Solve -5*w - 5*x = 5, 2*w - 2*x + 0*x = h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.009 times 0.4\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037450412 rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -7\/2, 6, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 246*a**2*q + 3*a**2 - 6*a*q + 3*q - 10824 wrt q?\nAnswer: 246*a**2 - 6*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7777 - 81*l**3 + 7777)*(-6*l**2 + 4*l**2 - l**2).\nAnswer: 243*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570991, -570992, -570993?\nAnswer: -570994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 - -83.5. What is the smallest value in -1, -8, j, 2\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21468, -23, 1, -46 in decreasing order.\nAnswer: 1, -23, -46, -21468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5230122*c**2 - 2*c - 3556226?\nAnswer: 10460244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 6*c = 120. Suppose 0*p = 4*p - c. What is the remainder when 56 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 5:03 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 1. Suppose 662 = -2*i + 682. Determine w(i).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 189\/(-45) - 0)\/(12\/69). Let y(x) be the second derivative of -14*x + 0*x**3 + j*x**5 + 0 + 0*x**4 + 4*x**2. Differentiate y(u) wrt u.\nAnswer: 69*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 338 - 443. Let v = 109 + z. Which is the third smallest value? (a) 0.2 (b) -0.16 (c) -0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3372 = -4*x + 2*c, 3*c - 3371 = -2*x. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q + 3*q - 8*q - 4 - 5 + 6.\nAnswer: -36*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3768*56\nAnswer: 211008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*v - 89*v - 2*v**3 + 6*v**4)*(0*v + 3*v - 2*v + (-2*v - 3*v + 4*v)*(0 + 4 - 1)).\nAnswer: -12*v**5 + 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + 1.43091.\nAnswer: -41.56909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1922*k**6 + 78*k**2 - 30 wrt k?\nAnswer: 230640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036229755 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -124?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 5:44 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sffs when four letters picked without replacement from sssfssssssffsssfss.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010 (base 2) to base 16.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**4\/4 + 7*a**3\/3 + 7*a**2\/2 + 2*a - 40. Give p(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -405*c + 207. Let n(a) = 99*a - 50. Let y(i) = -i + 1. Let b(u) = -n(u) + 2*y(u). Let m(r) = -15*b(r) + 4*z(r). Differentiate m(j) wrt j.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9460*x - 2*x**2 - 9460*x + x**2. Let y(u) = -26*u + 2. Let s(d) = -26*d + 3. Let h(v) = -2*s(v) + 3*y(v). Give f(h(m)).\nAnswer: -676*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1196a4 + c?\nAnswer: 1196b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377234619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/6 - 19\/12. Let m be 4*1\/((-700)\/14). Which is the nearest to -1? (a) u (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 190.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1657 in -4\/9, 7, -0.4, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-1)\/((-20)\/42). Let h(i) = -i**2 + 5*i + 26. Let a be h(8). Sort 2\/5, d, a in ascending order.\nAnswer: d, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, r: 5}. Give prob of sequence rr.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -87.73 and 2.0433?\nAnswer: 89.7733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -296859 * 0.2\nAnswer: -59371.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.167 times -451\nAnswer: 75.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1694)*-2)\/((sqrt(242)*1 - sqrt(242)) + sqrt(242)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*b, 5*b = g + 2*g - 179. Suppose 0 = -q + p + g, q + 3*q = -5*p + 167. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*w - 45, -13 + 4 = -n - 3*w. Solve 0 = -3*g + 5*s + n + 20, 2*s = 2*g - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83132471 a multiple of 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25440 - 5?\nAnswer: -25445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24868635 divided by 69?\nAnswer: 360415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let u(b) = -2*b + 1. Let g be u(1). Let d be ((-1)\/1 - g) + 1. Is d greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 5 (c) -36 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + (sqrt(1100) - 2*sqrt(1100)) + 2 + ((sqrt(1100) + -1)*2 - (sqrt(1100) + (sqrt(1100) - (sqrt(1100) + 1 + -2)))))*6*3 + 3)**2.\nAnswer: 288369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*r + 19. Suppose -4*w = -8*w - 528. Let i = r - w. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 5) to base 8.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1012 and -59\/828.\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16550\/(-40) + ((-3)\/(-4))\/(-3). Let l(p) = -p**3 + 44*p**2 + 81*p + 92. Let n be l(46). Are j and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.96 - 7.16. Sort -1, 0.05, r in increasing order.\nAnswer: r, -1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584989 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 22*b**2 + 268*b - 1257. Determine u(5).\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 - 41?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3839 divided by -44\nAnswer: 349\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38529829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n. Suppose -2*v + 1248 = v. Let f(h) = v - 416 - 16*h. Calculate q(f(k)).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2718911 is divided by 1176.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3103, 3106, 3107, 3106, 3103, 3098?\n\"Answer: -u**2 + 6*u + 3098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*v + 361*v - 4408 = 111*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-95)\/15 - -6 - (-3758704)\/12. Suppose 0 = 11*c + 4587 - p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 12. Let d be p(-7). Solve d*v + 22 = i, -4*v + 2*v = 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*v - 186, -6*v + v = -3*a + 195. Let u = a + -24. What is the third derivative of 22*b**3 + 70*b**2 - u*b**2 - 32*b**2 wrt b?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 754 = -416. What are the prime factors of w?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 692 - 692.0563. Let t = y - 0.1137. Round t to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 41, 39, -5, 8, 13.\nAnswer: -5, -2, 8, 13, 39, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79097 and 1127?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37525764 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 11738 + 11603 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -0.3. Let m = 8 + -7.7. Let f = z + m. Which is the second smallest value? (a) f (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 7) in base 15?\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/79169538 and 35\/124409274?\nAnswer: 870864918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**3 + 2*w**2 + 2*w + 1. Let u = -14 + 13. What is h(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58079, 58094, 58131, 58202, 58319, 58494?\n\"Answer: 2*t**3 - t**2 + 4*t + 58074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100303 - -1232?\nAnswer: 102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -231 + 233. Sort 4, a, 0, -36 in descending order.\nAnswer: 4, a, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33763907039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, e: 1, s: 5, o: 2, d: 3}. Give prob of sequence xe.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31333 (base 4) to base 7\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 86.47165ng?\nAnswer: 0.00000000008647165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13794, 13809, 13820, 13827, 13830?\n\"Answer: -2*h**2 + 21*h + 13775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.49 + 3.33. Let t = 0.36 + q. What is t rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b - 7. Let l be v(-1). Suppose 0 = 5*s + 4*c - 650, -c = s + l*c - 130. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -4, -4\/11, 2, -1427, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1184436 divided by -4.\nAnswer: -296109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w + 5*t = -76, 4*t = 0. Suppose 2*b - 5*k - 121 = -0*b, 2*b + 3*k = 97. Calculate the remainder when b is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 3}. What is prob of sequence jx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 less than or equal to 1320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212*i**3*z**5 - i**3*z**4 + i**3 + 3*i**2*z - 15*i wrt z?\nAnswer: -4240*i**3*z**3 - 12*i**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*b - 10 = -0*n, -2*b - 10 = 0. Solve d = -2*p + 5*p + 8, -n*d = 3*p + 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 84406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -631.54597 and 0.05?\nAnswer: -31.5772985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 23*o - 48. Let n be (-1436806)\/16 + o\/32. What is n rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(170) - -1*sqrt(170))*-2)\/((sqrt(50) + (sqrt(50) - sqrt(450)))\/sqrt(5) - sqrt(50)\/sqrt(5)*5) + -1.\nAnswer: -1 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136 - 12*a - 72 + 44 to the form j + d*a and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(374) + (sqrt(374) - 2*-3*sqrt(374)) + sqrt(374))\/sqrt(11))\/(-3*1*sqrt(128)).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 32*g + 89. Calculate a(-8).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 134, 145, 160, 179, 202, 229?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1395*0.19.\nAnswer: -0.026505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 26\/5*r**5 + 0*r**4 + 0*r + 0*r**3 + 11\/2*r**2 + 4. Find the second derivative of g(n) wrt n.\nAnswer: 312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*h - 5 = -h, -3*q = -5*h - 14. Differentiate 7*m + 3*m - 2 - q*m + 7 wrt m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 5*m = 4*d - 21, 2*d + 4*m + 22 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*p - 359*p + 1058*p**3 - 545*p**3 + 1228*p**3 - 27*p**3.\nAnswer: 1714*p**3 + 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(204) - (5*sqrt(204) + sqrt(204))) + (-3*sqrt(204) + sqrt(204))*-4)\/(-4*4*sqrt(108)*3))**2.\nAnswer: 2873\/20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-310)\/434)\/((-6)\/14)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (366 - 363) + 1 + -27. Let g = 15 - -10. Let f = x + g. Solve -4*i - 13 = 5*c, -f*i - 3*c - 9 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2 + 0 = 3*c, 3*m - c + 2 = 0. Is 64 + m + (0 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-4 + 2*d**2 + 4)*(-36*d + 161 - 161).\nAnswer: 144*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbnbb. Give prob of picking 2 b.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (sqrt(288) + -2)**2.\nAnswer: -48*sqrt(2) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377203120.\nAnswer: 2, 5, 7, 53, 71, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 - -2 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6483 less than 6483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 292840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3945 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.2. Suppose 0*q - q = -2*n + 6, 0 = 5*n - 4*q - 9. Suppose 0 = -2*v - 3*v - n. Which is the closest to v? (a) 5 (b) -3\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwb when three letters picked without replacement from {y: 1, b: 1, w: 1, g: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 + -83. Let w = u - 27. Let y be 4\/(((-2)\/(-30))\/1). What is the greatest common divisor of w and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 11*s**2 - 2*s + 24. Let b be d(11). Solve 1 = -3*g - b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1129 - 1423 - 7*j**2 + 2552.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4) + 34 + (27 - 40).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 0, 116.26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.9 and 96.511.\nAnswer: -1631.0359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 688\/9, 2, 0.269.\nAnswer: -0.04, 0.269, 2, 688\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-279)\/15 + -14*1007\/(-742). Factor 8\/5 - t*n**2 + 1\/5*n**3 - 4\/5*n.\nAnswer: (n - 2)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 10. Let a be k\/10*(-3 + -1). Let t be (2\/3)\/(a\/(-6)). Are t and -2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64706, -64356, -64006, -63656, -63306?\nAnswer: -62956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + r - 3*g - 12 = 0, -g = r + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.9938um in millimeters?\nAnswer: 0.0359938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 449778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 34*m + 9. Calculate k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2 + 5*h - 4*h)*(9 - 5*h - 9).\nAnswer: 5*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1027845739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00055 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - h - 1. Let g be x(0). What is the biggest value in -4, g, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3404592 * 0.04\nAnswer: -136183.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 389364, 778723, 1168082, 1557441?\n\"Answer: 389359*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 4*g - 5*j, 0 = 5*g - 4*j - 231 - 369. Calculate the highest common divisor of 380 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 39 - (1 - -15 - (25 + -16 + -1))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*t + 13 = 23, 2*q - 4*t = 14. Let k be (5\/3 + 0)\/(0 + q). Factor 1\/3*p**3 + 1\/3 - 1\/3*p - k*p**2.\nAnswer: (p - 1)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28863612 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -54, 11 in increasing order.\nAnswer: -54, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34 - 1.1500376?\nAnswer: -2.4900376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1134 = -2*o. Let h be (1 - -2)\/(-9*15\/(-855)) + -5. Suppose -1120 = -h*f - o. What are the prime factors of f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 57\/(-95)*20 - -29.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/40 and -49\/10800?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-405))\/(2\/24)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5))**19\/(a*a**(-4\/3)\/a*a**(-2\/23)) assuming a is positive.\nAnswer: a**(3112\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2427\/8 + 2431\/8. Solve -3\/2*g**2 - w - 1\/2*g**3 - 3\/2*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832.3 not equal to 625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2317 (base 13) to base 15.\nAnswer: 16d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*f = 8, -164 = 3*a + 4*f - 183 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -74, -109, -168, -257?\n\"Answer: -y**3 - 3*y**2 - y - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -62, -126, -256, -476?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**2 + 13*h. Let y(s) = s**2 + 2*s. Let b(r) = -6*p(r) + 39*y(r). Let g(m) = 2*m - m - 2*m. Give b(g(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (58 - -1*(5 + 2)) + -7. Solve -b + 103 = -9*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 599 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 116\/58 + (2 - 4). Is 3\/145 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9005 - 12327?\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*q - 214 + 1714 + 1011 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-49)\/105 - (-2)\/(-6). Which is the closest to -0.1? (a) -1 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130937183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 12, l: 1}. Give prob of picking 1 a and 1 l.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1194 - -1199. Let i(m) = m - 2. Let c be i(2). Let a be ((-1)\/2)\/((-1)\/6). Solve -g + c*y + a*y = 11, -4*g + 7 = f*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11449 + 0.01449. What is the closest to m in 5\/3, 49, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -256 + 255.986935. What is p rounded to 4 decimal places?\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 + -111. Let a(o) = 9*o - 37. Let q be a(p). What is the greatest common factor of 801 and q?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-13))\/((f*f\/(f\/((f**(-19)*f)\/f))*f)\/f))\/((f*f**7*f)\/(f*f*((f*((f\/(f\/((f\/f**(2\/3))\/f*f)))\/f)\/f*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 52 (c) -2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*s + 10, 0 = -5*s - 7 + 2. Let i = j + -3. Solve 4 = -3*d + i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3534 + 1339 = -2797*g - 41353 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(2)*2 + sqrt(28).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -318.1 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 30467848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify s**24\/((s\/(s\/(s*s**(-6\/5))))\/s)*s\/(s**21\/s)*s\/s**13 assuming s is positive.\nAnswer: s**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*4 + -5*sqrt(76)*2 + sqrt(76))\/(3*-2*(sqrt(12)\/sqrt(3) + sqrt(4))).\nAnswer: 13*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6597 - 6561. Let h = -55 + 73. What is the smallest common multiple of h and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-25))\/(2\/(-20)). Let v be 1\/4 - 87501\/b. Let g be v*(-2)\/3*144. Round g to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-494) - 270\/38.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*i**4*v - 143*i**4 + 14616*v with respect to i.\nAnswer: -204*i**3*v - 572*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 489.24 + -498. Round z to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 y when four letters picked without replacement from eeeeeeyeeeeyeeeeyeye?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149093 and 1239?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -19. Suppose 6345 = 3*y + p*j, -5*y - 4*j + 10568 = -3*j. Suppose 0 = -2*b - 4*l + 1422, 5*b + 2*l - y = 2*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -278594, -278584, -278574, -278564?\n\"Answer: 10*s - 278604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(0 + (-2)\/(-5)). Let v be (0*(-5)\/o)\/1. Solve v - 2 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 5:24 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/73 + -69\/146. Let k = 7417.8 + -7418. What is the second biggest value in p, k, -1\/3, 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 82339210568954 and 0?\nAnswer: 82339210568954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 0 (c) -10 (d) -9 (e) 1\/8 (f) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-1 + 56\/(-12)). Suppose -3*s - 27 = -6*s - 5*p, -3*p = 2*s - k. Solve -3*h = h + 20, 15 = -s*w + h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3576320 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + c + c)*(2 - 2 + 2*c) + 38672*c**2 - 77354*c**2 - 1488*c + 38681*c**2 - 7 in the form g + n*c**2 + h*c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 2 - 0 - ((1 - -5) + -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-111)\/(-10)*(-895)\/14499 and -125\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.054889876 to three dps.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14942750 and 32250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.83 in 1\/6, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 12*x**2 + 12*x + 12. Let f be k(13). Let h be 4\/(-6)*-1*(2 - f). What is the nearest to h in 2, -1, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7636)\/138*(-1)\/(-96) and -151\/12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 5254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/10 + i**4\/12 + 10*i. Find the third derivative of r(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(7)*-3 + sqrt(180)\/(sqrt(40)\/sqrt(4)))\/((-4*(sqrt(72) - (sqrt(72) - sqrt(72)*-1)))\/(sqrt(12) + 6*sqrt(36)\/sqrt(3)))*-4.\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235584 divided by 19632.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efdffemdeedfedfffe. Give prob of picking 1 m and 1 d.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-33) + 4\/22. Let j(b) = 2 - 3 - b + x*b + b**2 - 5. Is j(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 38. Suppose -3*i + 15 = 5*c, -5 = 4*i + 4*c - z. Suppose -q + i*q = -20. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18183 + 23417. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 251901*h**2 + 187429*h?\nAnswer: 503802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 3. Let g be -4*2*(-4)\/(-16). Let a be -10*(52\/(-24) - g). What is the nearest to 2\/3 in f, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m + 4*m - 3*m)*(0*m - 2*m + 0*m) + (-m - 2*m + 0*m)*(17 + 12*m - 17) in the form c*m**2 + u + x*m and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -848?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*(-36)\/(-216)*(-234)\/4. Suppose -2*t = 3*t + 25. Is 13 a factor of d*6\/(-45)*t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82 * 1309.\nAnswer: 107338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 20 = -16. Suppose j = -2*g + 4*p, -p + 3*p - 8 = 0. Suppose -1594 = -0*c - g*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254605 (base 8) in base 2?\nAnswer: 10101100110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1418, 1356, 1294, 1232?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.39 + -0.61. Let f = -27 - m. Which is the third biggest value? (a) 32 (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.7248ng in kilograms?\nAnswer: 0.0000000002507248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/(-220))\/(6\/(-5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6058 and -89163.\nAnswer: -540149454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-20)\/(-10)*(-6)\/((-36)\/(-51))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 187*t**3 + 131*t**3.\nAnswer: -56*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32113 (base 5) to base 2.\nAnswer: -100001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10195 = -3*h, 6*c + 2*h = 11*c - 25497. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2097*i + 3194. What is the units digit of g(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, q: 14}. Give prob of picking 1 q and 2 v.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-55)*-4*1\/(-2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 - 13*n. Determine i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 + 75*u - 6. What is q(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 53*i**2 - 23*i - 80. Calculate y(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*p = -32, -2*q + 4*q - 2*p = -16. Let g(k) = -k**3 - 6*k**2 - 6*k + 11. What is the units digit of g(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -1\/10*w**4 + 14 + 1\/15*w**6 - 6\/25*w**5 + 8\/5*w - 12\/5*w**2 + 22\/15*w**3. Find f such that l(f) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28086*g = -28081*g + 3*f - 25, -2*g = -5*f - 41 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p**2 + 1371 - 27*p**2 - 2760 + 1384.\nAnswer: p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -589 + 611. Calculate the greatest common factor of 1342 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**8\/1344 - u**7\/280 + u**6\/160 - u**5\/240 - 2*u**2 + u. Let x(n) be the first derivative of p(n). Factor x(y).\nAnswer: y**2*(y - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12 = 6*z. Let h(p) = 8*p - 6. Let m(g) = -4*g + 3. Let s(r) = -6*h(r) - 13*m(r). Calculate s(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 853884?\nAnswer: -13662144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1240421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - (-85)\/(-10))*212\/(-3). Suppose -2*t + v = 5*x - 6*t, 5*x - 3*t = 102. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 168, 187, 206, 225?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, o: 11}. What is prob of sequence oo?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 88*o + 5. Give s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -131\/5, 2, -11\/3 in ascending order.\nAnswer: -131\/5, -11\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 2201*f**7\/210 + 403*f**4\/24 + 819*f**2. Find the second derivative of c(o) wrt o.\nAnswer: 26412*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Suppose z - 14 = 2*n - 4*z, 5*n + y*z - 23 = 0. Calculate the remainder when 7 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 4:49 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1\/7 (c) 1\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 s when three letters picked without replacement from {s: 5, u: 3, q: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/84 - 70\/(-12). Solve 2*n + p = -n, -4*i + 8 = -2*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**5 - 12*m**4 - m**3 + 9*m**2 + 8*m + 3. Let b(u) = 4*u**5 + 60*u**4 + 4*u**3 - 44*u**2 - 40*u - 16. Let o(y) = 3*b(y) + 16*r(y). Solve o(p) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47262973?\nAnswer: 743, 63611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2594 + 3802. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 1\/4, -2\/9, -9\/4 in ascending order.\nAnswer: -52, -9\/4, -2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19236 - 19238.8994. Let d = 865 - 867.9. Let y = d - b. Round y to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-11889.7.\nAnswer: 166455.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*j*r**3 + f**3*j*r**2 + 101*f**3*j*r - 2*f**2*r - 57174*f*j*r**3 + 182*f*j*r**2 + 9*f - 1148*j*r**3 - 4*j - r wrt r?\nAnswer: 6*f**3*j - 343044*f*j - 6888*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 519*s**2 + 2580*s + 49219466?\nAnswer: 1038*s + 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n + 58 = 0. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4755600.3 to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4940 minus 5.4966?\nAnswer: -4945.4966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -29. Suppose 17*h - 4*h = 130. Calculate the remainder when a is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20745, -41445, -62147, -82851?\n\"Answer: -o**2 - 20697*o - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(3 - 4\/4). Solve -b = -z + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (47\/(-987))\/((-2)\/48*1). Let 8\/7*m**4 + t*m**2 + 0 - 2\/7*m**5 - 12\/7*m**3 - 2\/7*m = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8683492 divided by 12094?\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y + 0*y - 2*y)*(-1 - 3 + 3) + (-2 + 0 - 2)*(-64 + 16*y + 64))*(4*y + 0*y - 3*y).\nAnswer: -61*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 29. Calculate v(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102618233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*n = 38503, -3*k + 5*n - 5033 = -43543. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -59*z**3 - 3*z**2 - 7*z + 10. Let t(j) = 29*j**3 + 2*j**2 + 4*j - 4. Let y(l) = 2*p(l) + 5*t(l). Find the third derivative of y(w) wrt w.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 157*m**2 + 65*m - 28. What is the remainder when b(-4) is divided by 738?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 3561348.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-6)*24\/7*(-19)\/(-190).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*i - 48 = 2*i, x - 3*i = -26. Let u be 3\/((-2 - 0)\/2). Put u, x, -2 in descending order.\nAnswer: -2, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - f**2 - 6. Let m be 0 + (-4 - -1) + 0. What is the remainder when 59 is divided by n(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + 0.19. What is the third smallest value in 1\/3, d, -2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 144113674 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516646 and 10231.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049778023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -453 or -480?\nAnswer: -480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/13)*(l\/((l*l**27)\/l*l))\/l assuming l is positive.\nAnswer: l**(-365\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**3 - m + 1. Let g be p(1). Suppose 4*x + 88 = w + 3*w, -g*x - 106 = -5*w. Solve 0*b + 5*b = -5*s - 20, -4*b = 2*s + w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5213 - -856. Let y = 104597\/24 + s. Calculate the common denominator of 7*2\/63 - 299\/36 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggwgwwgwggwg. What is prob of sequence gw?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**3 + 2*q**2 - 2*q + 1. Let s(a) = 3*a**2 + a - 1. Let k be s(1). Suppose r = 5*i + 26, 2*r - i + 2*i + k = 0. Give g(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * 704282.\nAnswer: 1267707.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 0.1, 23, 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = -0*a + 4*r, -4*a - 2*r + 14 = 0. Suppose 41 = 5*b + 4*q, b - a*q = 4*b - 27. Solve b = 5*h - 20, -p + 26 = 5*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 15 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 17*z**2 - 10263*z - 107446. Determine r(614).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -30. Sort 0, t, -5 in descending order.\nAnswer: t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-52)\/(-8))*(-5)\/(-35). Let 1\/2*y**2 - y + o = 0. Calculate y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 475, 990, 2001, 3676, 6183, 9690, 14365?\nAnswer: 20376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 13*l - 12. Let u be n(10). Suppose 5*x - 3*x - u = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -46. Suppose n*m - 59 = -3*g, 3*m = -1 + 4. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439757 is divided by 219877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1425*j + 1167*j - 14448 for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15088191?\nAnswer: 3, 5029397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, f: 1, c: 3}. Give prob of picking 2 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q. Let l(s) = -6*s. Give 5*l(z) - 4*x(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 56*a + 44. Is s(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + 1) - (3 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*c**4 + 48*c**3 + 464*c**2 - 192*c.\nAnswer: -4*c*(c - 6)*(c + 4)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 48. Let a = -15 + v. Let -4*z**2 + 30*z**2 - 154*z + 142*z + 6*z**a + 4*z**3 = 0. What is z?\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -748631 by -6.\nAnswer: 748631\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d22f (base 16) to base 11.\nAnswer: -37476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 13. Let w(d) be the second derivative of 2*d**3\/3 + 6*d**2 - 4*d. Let x(p) = 5*b(p) - 4*w(p). Let q be x(14). Which is greater: 7\/2 or q?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4\/3 + 49\/3*x**2 - 11*x**3 + 32\/3*x = 0.\nAnswer: -1\/3, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*v**2 + 2 + 0*v**2 + 6*v**2 - 5*v**2 + 0*v**2 + v**2 - 2*v**2 + (1 - 3 + 3)*(-4*v**2 + 4*v**2 + 2*v**2))*(-9*v**2 + 64*v - 64*v)*(0*v - v - v).\nAnswer: 108*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4}. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cco when three letters picked without replacement from {o: 1, c: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13 = -3*x + 7*n, 20 = 4*x - 4*n. Suppose -8*v + 3 = -x*v. Solve -v = -p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 13*x + 20*x = -50 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -479.468997 + -0.001003. Let j = -483 - x. What is j rounded to 1 dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -13. Suppose 2*h = 4*h - f. Solve -5*p - 3*i + 0*i = h, 0 = i - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/4 - u + 251. Let t(f) = 34*f**2 - 3. Determine t(q(j)).\nAnswer: 306*j**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7052 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 547460.9cm in micrometers?\nAnswer: 5474609000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9419413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - -11. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**2 - 14*h**2 + 38*h**2 + (0*h**2 - 2*h**2 - h**2)*(132 + 131 - 311) to the form c*h**2 + z + r*h and give c.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 5*u - 6. Let n be v(-6). Suppose -c + 44 = 5*a, n = -0*a - 3*a - 5*c + 22. Let b = -6107 + 6109. Solve l = -b*l + a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 1. Let u = 6 - 4. Calculate v(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z**3 + z**2 + 2*z**4 - 14*z**3 - 1 - 2*z**2 - 3*z + 3 in the form n + t*z**4 + h*z**3 + g*z + m*z**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -650448.64 to the nearest ten thousand.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 h when four letters picked without replacement from {s: 3, h: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -827 - -13593?\nAnswer: 12867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 9:14 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2172 - -2195 - (44 + 3 + -1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.9 + 24. Which is the third biggest value? (a) -2 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/36*4)\/(1496\/561)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v + 73*v - 153*v + 14*v + 18*v + 18*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(72)\/(-1*sqrt(4)) - (sqrt(18) + ((sqrt(18) - sqrt(18)*1 - sqrt(18)) + -2)**2)) + -2 + sqrt(36)\/(sqrt(32)*2) + -1).\nAnswer: -100 - 141*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -636*a + 249*a + 18062 + 21799 for a.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(200) + sqrt(200)*1 + sqrt(8)).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teoegetggttttg. Give prob of sequence gge.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123486 + 8*y**2 + 123486.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-63) + 73\/(-219). What is the nearest to -3 in q, -6, -0.2, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 3 (c) -31\/19 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137183558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -6*p + p + 19, 2*p - 49 = -5*i. Let h = i + 9. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/42857299 and 29\/5163530.\nAnswer: 428572990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (14 - (42 + -1))) + -20 + 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 63*t - 154400 + 154400. Let c(u) = 6*u. What is n(c(o))?\nAnswer: 378*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3498 - 3494. Solve 5*s - p = g, -11*g + 6 = -8*g + 3*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, p: 3}. Give prob of sequence uupp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, j: 1, a: 6, h: 2, f: 2}. Give prob of sequence he.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(4*(sqrt(108)*2 - sqrt(108)) - sqrt(108)))\/(sqrt(66)\/(sqrt(11)*-1) - 1*sqrt(24)\/sqrt(4)))**2 + 1.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.009, 1093 in decreasing order.\nAnswer: 1093, 0.009, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 322994.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*m + 10, -5*m + 13 = u + 3. Suppose 9*d - 5*d - 6*d = u. Factor 3\/8*c**2 - 1\/8*c**3 + d*c - 1\/2.\nAnswer: -(c - 2)**2*(c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792, 6169, 20450, 48087, 93532, 161237, 255654, 381235?\nAnswer: 542432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -3 - -27)*2. Suppose 0*u = -5*u + v. Let i = 5 + 1. Calculate the remainder when u is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4465680086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -224?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 + 1 - 9*o**2 + 2*o**3 - 3*o**2 - 3*o**3 to i + g*o**2 + r*o**3 + a*o and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 14*g + 14. Let y be (-12 + g)\/(-5) - -2. Let h be (-5 - -4) + (-4)\/(-14). Sort 2, h, y, -1.\nAnswer: -1, h, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - 3) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from oayyp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a9872 + -1?\nAnswer: 17a9871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 150444803 and -0.2.\nAnswer: -30088960.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/9))**(-10)\/((l\/(l\/((((l*l**(-5))\/l*l)\/l*l)\/l)))\/l**(1\/10)) assuming l is positive.\nAnswer: l**(-641\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001 - 1021?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e90 + 16?\nAnswer: ea6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:58 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 + l + 9. Suppose 4 = -3*r + 2*j, 3*r = 6*r + 4*j - 8. Calculate v(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*o**3 + 0*o**2 + 15*o**4 + 1 - 2*o**4 - 2*o**2 - 19*o**3 in the form v*o + x*o**2 + r*o**3 + n*o**4 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*i - 20 = 4*n, 92 = 4*n - i + 33 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 229541299 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a - 26*a + 1, -5*a + 2433 = 2*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 858 - -1?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 438 = 11*d - 2*x, -x = -3*d + 263. Let p be 339\/15 - (4 - d\/20). Solve 3*w + a - 19 = -2*w, p = w + 5*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 48018\nAnswer: -192072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152292 and 6686442.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 32\/12. Let x be l\/6*2*1. Let w be 51\/12 - x\/(-4). Solve 6 = -5*h + s, 0 = -w*h - 0*s + 2*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010112 divided by -6?\nAnswer: 168352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.238 - -0.008. Let t = -0.212 - a. What is t rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1288\/161 + 44\/(-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66442 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -4, -5 in descending order.\nAnswer: 17, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9645 - -9650. What is the biggest value in i, 0.8, 0.4, -52?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 16*t + 1302. Calculate j(45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -111*x - 3329. Let i be v(-30). What is the closest to i in -20, -0.1, -4, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -835, -767, -699, -631, -563?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 175?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 129, 0.\nAnswer: 0, 2, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2202 = q - 2*q - 1129 - 1109 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -200?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 + 3)\/(-6)*(-10)\/6. Suppose -2 = -4*u + 3*u - d, 38 = 3*u - w*d. What is the lowest common multiple of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 2:09 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 4*k = 13*r - 32, 5*k - 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 0*a + a)*(-4296 - 628*a + 4296) in the form j + s*a**2 + i*a and give s.\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13970 and 8382.\nAnswer: 41910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*w + 265. Let s(a) = -11*a**3 + 6*a**2 + 7*a - 2. Let n be s(5). Let u = n + w. Round u to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -927 - -927. Suppose 0 = -i + 6*i + 20, 0 = -s - 4*i - 15. Let m be s - 1 - 4\/(-14). Which is the third smallest value? (a) m (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/468 and -25\/12.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 277, -3, -0.1.\nAnswer: -5, -3, -0.1, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/17 + 6464*i\/17 - 6466\/17.\nAnswer: 2*(i - 1)*(i + 3233)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -16 + 14. Let r(i) be the first derivative of -4*i**2 - 2*i + 6. Calculate the remainder when 69 is divided by r(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.161 rounded to zero decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249824 divided by -4?\nAnswer: -62456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-334)\/(-30) + (-10)\/75). What is the remainder when 82 is divided by (-2)\/(-6)*(53 - q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-6*(sqrt(243)*-1 - sqrt(243) - sqrt(243))*2 - (sqrt(243) + (2 + sqrt(243) + sqrt(243))*1 + 0)) + -2)*-6)**2.\nAnswer: -99792*sqrt(3) + 9527356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/56*(-6)\/(-3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j*r**2 - 380*j*r + 13*j - 8*r**2 + 10*r + 49292 wrt r?\nAnswer: 8*j*r - 380*j - 16*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2525661 (base 7) to base 5\nAnswer: 40414222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68.08 + 64. Let w = 0.08 + f. Let g = 0.4 - -0.1. What is the smallest value in w, g, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52464356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25703 times 5?\nAnswer: -1.28515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 12:30 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 4*x**2 + x + 1. Let m(n) = 4*n**3 - 22*n**2 - 4*n - 5. Determine m(l) + 5*w(l).\nAnswer: -l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 231948 = 4*o, -63*o - y + 57985 = -62*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3))\/(((-4)\/(-9))\/(292\/(-219))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -986 - -1399. Suppose 5*a + d = 1368. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - 12. Suppose -2*f = -4 - 6. Solve 2*k + 10 = 2*d - r*d, -f*d = 3*k + 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110120200112 + 2212021?\nAnswer: 110200112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*k + 13337 = 7*k - 343 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 2*s - s**2 + (2*s - 2 + 2)*(3 - 3 + 2*s) - 4*s**2 + 4*s**2 - s**2 - s**2 + 0*s**2 + 3*s**2 + 2*s + 6*s**2 - 2*s + 0*s - 2*s**2 + 0*s.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2020*m - 37369 = -5049 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**3 + 4*g**2 + 2*g + 4. Let h = 2 - -3. Suppose 3*m - 16 = -4*v + 7*m, 20 = h*v - m. Let y be c(v). Round y to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 5*d**2 + 4. Let j be u(4). Suppose 0 = 5*r - 10 - j. Let q = 4 + r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -88? (a) 3 (b) -22 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 144.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**3 - 440*c**2 + 436*c = 0?\nAnswer: 0, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 122120 (base 4) to base 5\nAnswer: 23223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-834)\/3892*1\/(6\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19213, 38195, 57177, 76159, 95141, 114123?\n\"Answer: 18982*n + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 56 + 12)*(-v - v + 5*v)*(1 + 0 + 2)*(0 - v + 0).\nAnswer: -666*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 12 = 5*p, 87 = 3*p + 78 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (549\/(-246))\/3 + -1. Let p = 10\/41 + g. What is the nearest to -0.2 in p, 0.1, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:07 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00302 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5*(-1)\/4. Let z = a + -2\/5. Is z at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = d - 23, -4*d - 3*b = -b + 18. Let q(f) = 3*f**2 - f - 2. Let n = 22 - 15. Calculate the remainder when q(d) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.06 (b) 0.11 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3190 times -0.2?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 + 4*w**2 + 3*w**2 - w**2 to v*w**3 + k + i*w**2 + m*w and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 2*x + 26 + 18, 19*w - 3*x = -6*x - 181 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 4*m**2 - 3. Let d be o(-4). Let g be (1\/d)\/(2\/(-6)). Let w be 8\/3 + g\/3. What is the highest common factor of 9 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 7:01 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 53. Let r be (34\/8)\/(l + 1\/4). Solve -4*s = -i + 17, 2*s - s + r = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**2 - 5*z + 2*z**2 + 5*z**3 - 5*z**2 + 0*z**3 + 10.\nAnswer: 5*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3*l**2 + 365*l - 365*l.\nAnswer: -3*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -91. Let k(z) = -6*z + 26. Let n be k(i). Let t = 121 - n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.7 + -29. Let q = m - 0.7. Sort -5, q, 2.\nAnswer: -5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14559 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303236757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 - 199506*g**2 - 192*g + 12768384 = 0.\nAnswer: -8, 8, 66502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. Let t(h) = 3*h - 66*h + 1 + 6*h**2 + h**3 + 65*h. Give t(i).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23069 - -23070.3. What is the nearest to -2 in -4, 0.1, d, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(85)\/(sqrt(405)*2)*-4)**2.\nAnswer: -16*sqrt(17)\/9 + 1364\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j + 1. Let p(z) = z + 1. Let v(i) = 2*d(i) - 2*p(i). Let r(o) = 7*o - 8. Let u(w) = 85*w - 100. Let k(m) = -50*r(m) + 4*u(m). What is k(v(n))?\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -42261.317 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3833 + -3833. Let c(i) be the first derivative of 3\/2*i**4 + h*i**2 - 5 + 0*i - i**3. What is the third derivative of c(m) wrt m?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(243) + 0 + 1 - sqrt(243)) + -1*(-1*sqrt(243) + sqrt(243) + sqrt(243))**2)*-6*3*5.\nAnswer: 21780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -75*n. Let z(q) = 5*q**2. What is v(z(g))?\nAnswer: -375*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 4 - 4)*(20 - 13 - 13).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/(-16) + 1\/4. Let x(s) = -s - 1. Let j be x(d). Put 1, j, -3 in descending order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 903, 7266, 24381, 57576, 112179, 193518, 306921, 457716?\n\"Answer: 888*q**3 + 48*q**2 + 3*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 - 448\/5. What is the second smallest value in -0.4, 5, 0, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2234 is divided by 743.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a**3 + 11\/60*a**5 + 0*a**4 - 20*a**2 + 0*a + 0. Let o(x) = -x**2. Calculate u(o(z)).\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150969*p**3 + 25*p**2 + 19*p + 2 wrt p.\nAnswer: -905814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - (sqrt(121) + -3*sqrt(121)) - sqrt(121))*-4)\/(sqrt(11) + sqrt(275)*1))**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1441 and 2.69.\nAnswer: -3876.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.007 - -0.293. What is the second smallest value in 2\/5, 9, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2580, -5145, -7700, -10239, -12756, -15245?\nAnswer: -17700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 5*h - 9. Let f = -20 - -20. Suppose 2 + f = -x. Calculate the remainder when 12 is divided by s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 25 = -4*z. Let o(s) = s + 1. Let i be o(1). Put i, 0, z in descending order.\nAnswer: i, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (0 - (-28 + 6))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Suppose -i*a = a - 33. Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -163*f**7\/70 - f**6\/60 + 188*f**3\/3 - 2*f**2 + 191*f. Differentiate j(n) with respect to n.\nAnswer: -1956*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-630)*15)\/(47\/3384)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 726 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 61152\/1170 - 8\/30. Suppose 8*q - 3*q - 585 = -3*g, -468 = -4*q + 3*g. What is the greatest common divisor of q and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -3\/5 (c) -0.2 (d) 7\/3 (e) 1\/2 (f) -954 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1725 + 1727. Solve 5*u - 15 = -5*l, 6*l = -n*u + 9*l - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n = 34*n + 1476. What is the remainder when n is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(((g**(1\/2)*g)\/g*g)\/g)\/g*g*((g\/(g\/g**(2\/11)*g))\/g)\/g)**6)**(5\/13) assuming g is positive.\nAnswer: g**(-435\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (156 - 150) + 8\/(-2). Solve 0*o - b*o + 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -0.13, 0.0042, 0.5, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - c - 2. Give u(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*w + 29. Suppose 30 = 4*b + b. Let g = w - b. Solve -o + 9 = g*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 8*v - 3*v + (12 + 3 + 5)*(4 - 4*v - 4)*(3 + 2 - 3) as h + d*v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 117*k = 116*k + 1177, 0 = 5*n + 4*k - 2947. Let h = n - 587. Solve h = -3*s + 3 - 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22558753.\nAnswer: 7, 3222679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/2 + 5 + -103 + 5. Let r be -5 + (c\/(-6) - -2). Let l(v) = -3*v + 1. Let j be l(-1). Solve -j*m + 3*m + 2*t + 7 = 0, 5*m + 2*t = -r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.047?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*y**4 + 4 - 2*y - 21*y**4 - 8*y**3 - 24*y**4 as c + t*y + r*y**4 + u*y**2 + o*y**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 8*d - 12. Let y be m(11). Let z = y - -24. Is 20 a factor of (-12)\/z - (-1647)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -6 + -41 + 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 2, f: 4, z: 3}. Give prob of picking 1 v and 3 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004238 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 9*y - 13*y - 23 = -2*d, -6*d = -16*y - 90 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -373*n**3 - 5*n**2 - 5*n - 19. Let m(c) = -932*c**3 - 12*c**2 - 12*c - 46. Calculate 12*a(y) - 5*m(y).\nAnswer: 184*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 5*s + 188918 = -37*h, 0 = -h + 6*s + 47201. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 552\/17, 1\/5, -2\/89 in ascending order.\nAnswer: -2\/89, 1\/5, 552\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33000320 (base 4) to base 16.\nAnswer: f038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101555*-3.1\nAnswer: 314820.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172506?\nAnswer: 2, 3, 28751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138 - 241*n**2 - 132 - 4*n + 21*n**2 + 5*n wrt n.\nAnswer: -440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**3\/6 + p**2. Let k = 2808 + -2805. Let u(a) = -a + 1. Determine k*s(f) + u(f).\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39140 and 19144816?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, -3, -76 in decreasing order.\nAnswer: 4, 1, -3, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/117 and -31\/134368.\nAnswer: 1209312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*o - 2. Let y = o + 2. Let b = y - -1. Solve n = 2*n + b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77084 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + b = 4, -3*j + 2*j + 4*b - 10 = 0. List the prime factors of (-102)\/4*j\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/t**3))*t*t)**22 assuming t is positive.\nAnswer: t**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/3? (a) 3 (b) -1\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2966971?\nAnswer: 7, 423853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v + 6*v)*(-2*v**2 - 2*v**2 + 6*v**2 + 4*v**2 + v**2 - 4*v**2 + (2*v + 2 - 2)*(6*v - 2*v - v)).\nAnswer: 63*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 4*n**2 - 1 to q*n**2 + j + w*n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z + 95*z + 766 - 250 = 0. Put 6, 17, z, 3, 2 in decreasing order.\nAnswer: 17, 6, 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 738211? (a) 3 (b) 0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1159\/2910 + -1\/582. Sort -0.01, -5\/2, m in decreasing order.\nAnswer: -0.01, m, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.45*355.04\nAnswer: -8680.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.3 + 54. Let r = g + 0.3. Suppose 257*m - 249*m = 16. Which is the third biggest value? (a) r (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 4*g + 12. Let o be v(-6). Suppose -m - 3*m = o. Suppose 2*d + 4*b = 0, 2*d - 4*b + b = m. Solve d*p + 15 = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -971 - 941 = -2*x + 3*y, 0 = -2*y + 4. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, v: 3}. Give prob of picking 4 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g**2 - g + 10. Let l(s) = -4*s + 2. Let d be l(2). Let x be o(d). Suppose -129 = -u + x. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nafbbbyb. What is prob of picking 1 a and 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146155305 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1918.66836 rounded to the nearest 10?\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - p + 59, 5*p + 65 = -5*o. Is 7 a factor of (-9)\/12 - 177\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 23*b**2 - 49*b - 726. What is m(9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u - 7. Let w(m) = -m**3 - 2*m - 2. What is the remainder when y(-5) is divided by w(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -1007*p**7\/42 + 953*p**4\/12 + 1327*p. Find the third derivative of o(y) wrt y.\nAnswer: -60420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18179 + 18191. Solve w*d - 31 = -7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1674 = -289*n - 927 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = z + 4*c + 78, 5*z = 3*c + 1280. Let r = -28 - -44. What is the highest common divisor of z and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2*g - 30 = 0. Let p(n) = n**2 - 3*n + 4. What is p(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869361?\nAnswer: 11, 19, 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5882586914.\nAnswer: 2, 127, 23159791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 33 - 54 + y**2 + (y + 2 - 2)*(-y + 0 + 0) + 4*y**2 - 3*y**2 + y**2 + (-5*y - 2*y + 5*y)*(-103*y + 57*y + 53*y).\nAnswer: -12*y**2 - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**2 - 18*h + 2. Let i be s(-13). Solve -4*t = 2*d - i - 8, -5*d - 5*t + 25 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**4\/4 - 4*y**3\/3 + 5*y**2\/2 - 14*y + 4. Is 7 a factor of d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4186743, 8373492, 12560233, 16746960, 20933667, 25120348, 29306997?\nAnswer: 33493608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*y + y - 34, -2*b = 6. Suppose y = -8*g - 23. Let j(k) = 2*k - 2. Let r(z) = z - 1. Calculate g*r(a) + 2*j(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52949640 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.548 + 1.39. What is w rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*((-8)\/18)\/((-672)\/(-117936))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 44 (c) 2\/803\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 85, 100, 131, 184, 265, 380, 535?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {h: 3, j: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 152?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 553 - -58?\nAnswer: 5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -846 = -3*d + 1164. Let i = d + -306. Suppose -o = 3*o - i. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 3100*j**2 - 492660*j + 3745440.\nAnswer: -5*(j - 306)**2*(j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10011000100111111111000 (base 2) to base 4\nAnswer: 103010333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - 2*f + 4. Let j be m(3). Let q = -17 - j. Let p(w) = 5 + 13*w + 9*w - 37*w + q*w. Calculate p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/852)\/(550390\/(-191440))?\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/(-224))\/(-1))\/((189\/56)\/9)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 759 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3281 divide 1342677068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5348*h = 1912*h + 740520 for h.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/966440?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 9. Let y be n(9). Is (-49 - 21)\/(-1 - y) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18686, -37351, -55976, -74555, -93082, -111551?\n\"Answer: y**3 + 14*y**2 - 18714*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1374 rounded to 3 dps?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = -22*m + 40. Let b be m\/(-8) + 2*-2. Let z(g) = -g**3 + 0*g**3 + 4 - 3*g - 5 - 4*g**2. Give z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 = -2*p + 1, -15 = -5*h - 3*p. Suppose h*i = -i. Solve 0*j**4 + 0*j + 2\/9*j**5 - 2\/9*j**3 + 0 + i*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -12. Let v(i) = 6*i**2 - 4*i - 3 + s*i**2 - 18*i**2 - 3*i**3. Calculate v(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:25 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 l when three letters picked without replacement from lhllllhllllllhlllllh.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bsbbsbb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 31. Suppose 4*m = q, -d + 9 = 3*d - 5*m. Let v be (d\/(-4) + 2)*-2. Which is the second smallest value? (a) v (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.001 and -0.063.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2 + 3)**2 - (sqrt(125) + -3).\nAnswer: -17*sqrt(5) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + l, -5*l + 21 - 2 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 262 = -6*l. List the prime factors of l.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.63756 litres to millilitres.\nAnswer: 30637.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4689.148nm?\nAnswer: 0.0004689148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*i**3 - 651841*g**3 + g**2*i**3 + 2*g**2 + 7*g*i**3 + 59*i**3 + 2*i**2 wrt i.\nAnswer: -12*g**3 + 6*g**2 + 42*g + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41280 (base 10) to base 12.\nAnswer: 1ba80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3\/6 + 677*w**2\/3 - 1352*w\/3 = 0.\nAnswer: 0, 2, 1352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + n + 18 = 3, n = 2*z - 9. What is the third derivative of -16*x**z + 4 - 10*x + 0 - 4 - 234*x**3 wrt x?\nAnswer: -1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 754.1629ng to tonnes.\nAnswer: 0.0000000000007541629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152673, 152668, 152671, 152682, 152701, 152728, 152763?\nAnswer: 152806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z. Let r be 2 + (-3 + 3)\/3. Let i(n) = -70 + 70 + n**r. What is i(g(f))?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558*c + 521*c + 407000 = 0. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 157, 623, 1401, 2491, 3893?\n\"Answer: 156*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 82, 119, 156, 193?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1176)\/(-36) + ((-2)\/(-3))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3969, -3724, -3457, -3156, -2809?\n\"Answer: 2*k**3 - k**2 + 234*k - 4204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42220.\nAnswer: 2, 5, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -422840 - -422894. Let g = 136 + -682\/5. Which is bigger: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 38 + 2 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17305.\nAnswer: 5, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 1. Let m = -6 - -12. Let i be (-34)\/9 - m\/27. Give q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 1853?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14383 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (46 + -37)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*n**3 + 0*n + 0*n.\nAnswer: 149*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*h**4 - 9*h**4 - 13*h**4 + (-h**2 + h - h)*(2*h**2 - 2*h**2 - h**2) - h**4 - h**4 + 3*h**4 - h**4 + 0*h**2 + 0*h**2.\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.52 + -3.31. Let s = -16 - -16.77. Let u = y + s. What is u rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 1, h: 5, c: 1, p: 1}. What is prob of picking 1 c and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -17893500 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 4*n**2 - 9*n - 911 + 4*n**2 + 6*n.\nAnswer: 10*n**2 - 3*n - 911","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = l + 5, y - 8*l = -93 + 118 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 1, b: 3, j: 1, a: 3, q: 3}. Give prob of picking 1 q and 1 b.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 76 = m, 2*f + 1683*m - 1679*m - 38 = 0 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 a factor of 57555629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -233\/24643 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.3, -98?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160965 and 5150880?\nAnswer: 5150880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*l + 21 + 10, -l = u + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3348184*b**3 - 5188869.\nAnswer: -10044552*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2565135*l**2 + 7110889 wrt l.\nAnswer: 5130270*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2579 divide 34883721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -92*m. Let w(t) = t. Calculate w(z(y)).\nAnswer: -92*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 17. Let i be (1 - q\/9)*(-4020)\/8. Suppose 4*f + 3*t = 2725, f - i = -3*t + 6*t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 7988841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 + (-3 + 0)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 4 - -3 - (-7 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let r be ((-15)\/3)\/(c\/(-44)). Let y(a) = a**2 + 7*a + 16. Let j be y(-6). Calculate the greatest common divisor of j and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 + 3*t**4\/4 + t**3\/6 + 11*t**2\/2 - t. Let a be p(9). Solve 8 - a = 5*v + m, 2*v - m = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16027, -16025, -16031, -16051, -16091, -16157?\nAnswer: -16255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - -1 - 4) + (-186)\/4 and 53\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -987983\/48 - -20582. What is the common denominator of i and 18?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 1. Let y(j) = -11*j**2 - 3. Give r(f) - y(f).\nAnswer: 11*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.105 in -0.5, -2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -10*g**3\/3 + 18*g + 1071. Let h(y) = -5*y. Give f(h(t)).\nAnswer: -250*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2. Let h(z) = -11*z - 21. Determine b(h(x)).\nAnswer: -363*x**2 - 1386*x - 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21549491.\nAnswer: 3673, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*(-2)\/(-3). Let t = 16 - 11. Suppose 0 = 2*b - t*z - 1, -c = -0*z - z. Solve 9 = 4*d - v, 2*d - b*v - 6 = -v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-2) + (-90)\/36. Let j(v) be the second derivative of -1\/12*v**4 - y*v**2 + 1\/6*v**3 + 0 + 4*v. Give j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/f**(2\/3))\/f)**(-2\/91)\/(f**1*f)**(-21\/4) assuming f is positive.\nAnswer: f**(5729\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2)*c*c\/c**6)\/((c*c*c**(-1\/14))\/(c*c**(-1)\/c*c)) assuming c is positive.\nAnswer: c**(-97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**4 - t**3 - 2*t**2 - 2*t - 1. Let b(o) = 12*o**4 + 56*o**3 + 70*o**2 + 29*o + 2. Let j(h) = -3*b(h) + 12*l(h). Factor j(f).\nAnswer: -3*(f + 6)*(2*f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-28))\/(3\/(9\/(-2))). Which is the second smallest value? (a) 1 (b) -1 (c) -5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**7*g**(-5)\/g*g**3\/g**(2\/33) assuming g is positive.\nAnswer: g**(130\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3957 + -3867. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1207*o**2 - 12*o + 11. Let l be z(1). Let m = l + 383. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014110 (base 5) to base 14.\nAnswer: -bb49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 55. Calculate v(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 3)*-3 - -8. Suppose -4*w - 2*r + 10 = -6, w - 4*r = -14. Solve x*n = w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(((t\/((t*(t**10*t)\/t)\/t))\/t)\/t))\/t))\/t)\/t**(-1\/4) assuming t is positive.\nAnswer: t**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**19)\/(n*(n**2*n)\/n*n) assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/238 - (-6)\/1*42\/882\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 11:29 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296598684 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 151\/24 or 6?\nAnswer: 151\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.39, 3 in decreasing order.\nAnswer: 3, 0.4, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720683?\nAnswer: 720683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132 + 1494. What are the prime factors of u?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2\/59, -2\/7, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 459537808.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bce (base 16) in base 5?\nAnswer: -2003234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 10*i + 31 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119004*s**4 - 7*s**3 - 4*s**2 + 585*s - 25.\nAnswer: -2856096*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 + 3*l)*(0*l**3 + 2*l**4 + 0*l**3 + (2*l - 1 + 1)*(-54*l**3 + 25*l**3 - 35*l**3)).\nAnswer: -378*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1 - 10*j + 26*j + 2. Let q = 3 - 2. Let g be l(q). Calculate the highest common factor of 136 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*z - 8 - 108*z + 218*z to the form n + r*z and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, l: 3, i: 1, t: 4}. Give prob of picking 1 t, 1 l, and 1 x.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 36*i**2 + 378*i + 1701. Let j(w) = -5*w**2 - 54*w - 243. Let o(k) = -15*j(k) - 2*r(k). Find d, given that o(d) = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -i + 42, -2*t + 3 = 9. Let o = i - 51. Solve -5*f + 4*f - 4 = o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2263*q - 6821*q - 3504*q - 6386*q.\nAnswer: -18974*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(931) - (3 + 0 + sqrt(931))) + 2*sqrt(931)*1 + -1*(sqrt(931) + 0) + -2)**2.\nAnswer: -140*sqrt(19) + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 236*l - 298 = -261*l, 443 = 3*t - 4*l. Suppose 22 = -2*x + 116. Calculate the greatest common divisor of t and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 - 4934*a + 2503*a + 2430*a - 1334*a**2 wrt a.\nAnswer: 12*a - 2668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -2*l - 2*d, 15632*l + 7*d + 55 = 15629*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-135))\/((-2)\/(-78)) + (22 - 37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 44. Let y be (-304)\/(-30) + b + (-2)\/15. Suppose 0 = -10*t + 5*t + y. Solve 4*d = 5*j + 5, -t*j - j - 3 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 6:50 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*y - 70, -10*t = -6*t + 4*y - 88. Suppose 190 = -t*n + 20*n - 2*r, 2*n = 3*r + 135. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 2 - 2 + (-1 + 1 + 8*g)*(-8*g**4 - 3*g**4 - 4*g**4) - 4*g**5 - g**5 + 3*g**5.\nAnswer: -123*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -284, -565, -846, -1127, -1408?\n\"Answer: -281*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903460 is divided by 1181.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.9 + 37.1. Let f = a - 58. Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f - f. Let n be 6\/f - 1\/(-2). Let i = 0 + n. Solve 0 = r + i + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 619405, 619584, 619763, 619942, 620121?\n\"Answer: 179*s + 619226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23422535 - 23422533.2999999. Let c = k - 1.7. Round c to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30774318 and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 111617.\nAnswer: 42\/111617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*(-3 + sqrt(320)*-2*6))**2 + -4 + 4)*6.\nAnswer: 55296*sqrt(5) + 4424544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-6)*p)**1)**(-4\/21) assuming p is positive.\nAnswer: p**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - t + 15, 17*t - 18 = 14*t. Let l(y) be the first derivative of 9*y**2\/2 - 4*y - 1. What is l(c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 22220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*r + 13, 3*r = 2*f - 19 + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -33\/4. Which is the smallest value? (a) -2\/3 (b) 0 (c) j (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00346844496 to 6 decimal places.\nAnswer: -0.003468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*n + 2159, -n + 71 = 3*c - 354. Find the third derivative of n*o**4 - 51*o**2 + 233*o**4 - 1192*o**4 + 323*o**4 wrt o.\nAnswer: -4920*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -10, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11729*g**3 + 5866*g**3 + 5858*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, u: 6, h: 1}. Give prob of picking 1 u and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 5*y**2 + 6*y - 6. Let t be d(4). Suppose 2*n + 8 = z, 0 = 2*z + 3*n + 7 - t. Solve z*m - 5*i = -11 - 14, -3*m + 10 = 2*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/36 and (-4)\/((-96)\/44) - (-9)\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + (-1 + sqrt(605))**2)*-5.\nAnswer: -3030 + 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*j + 190 = 125*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (21 + -22)*(-55 + 0) and 231?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 14*c**2 + 33*c + 4. Let w be h(11). Suppose -4*l + 122 = n, -6*l = w*n - 11*l - 404. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5 + 750*k**4 + 13176*k**3 = 0. What is k?\nAnswer: -732, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -29*p + 34*p - l, 3*p = 3*l - 3. Let c be (0\/5)\/6*p\/(-6). Sort -3, -1\/3, c, -5 in decreasing order.\nAnswer: c, -1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p**4 + 89257*p**2 - 223393 wrt p?\nAnswer: 12*p**3 + 178514*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 12*s**2 + 15*s + 138. Let w be g(-14). What is the highest common factor of 176 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -50, -64, -78, -92, -106?\n\"Answer: -14*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929.885 litres to millilitres.\nAnswer: 929885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15647909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -1\/3, -7\/3, 1\/3, 1.1, 0.58?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 7:59 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3958 is divided by 104.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10449 and 35958492.\nAnswer: 3483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**18*b*(b**(7\/4)*b)\/b*(b*(b**(2\/17)\/b)\/b*b)**21 assuming b is positive.\nAnswer: b**(1579\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 1:32 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 675.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147)*-1*2.\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 231472987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - v + 6. Let w be i(0). Suppose -4*q + w = 2. Does 8 divide 4\/(q + 1) - -14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b. Suppose -3*i = 2*k + 1183, b = 2*k - 3*i - 88 + 1241. Is (-4)\/2 - (k + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 1\/14*f**4 + 4\/21*f**3 + 47 - 1\/7*f**2 - 4\/7*f. Factor z(t).\nAnswer: 2*(t - 1)*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(208) + 0 - (-1 + (sqrt(13) - sqrt(52)\/sqrt(4))) - (1 + sqrt(208) + -2 - -1*sqrt(208)*-6)**2) + -5 + 2.\nAnswer: -5203 - 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 495 - 493. Suppose k*i - 419 = q, 348 + 280 = 3*i - q. List the prime factors of i.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49341 - 468.\nAnswer: -49809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321770540 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-16 - -31) + -101 + -17.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*n**5 + 8*n**5 + 4*n**3 - 2*n**5 + 2*n**4 + 0*n**4.\nAnswer: -2*n**3*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/21 + 24\/(-252)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/10, 0.12, 25\/6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*u, -25 = 5*l + 2*u - 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, t: 1, o: 2, y: 2, s: 1}. Give prob of picking 2 r and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 11*q + 10. What is the least common multiple of s(11) and ((-21)\/(-35))\/(2\/60)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(54) + sqrt(6))\/(2*sqrt(75)))**2.\nAnswer: 121\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -225*q**2. Let b(p) = 2*p. Give b(u(i)).\nAnswer: -450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396736113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -13*w**5\/20 + w**4\/6 - w**3\/2 - 4*w - 3. What is the third derivative of u(j) wrt j?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(14 - ((-66)\/(-77) - -14)) - (-1)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/21154 and 33\/21154.\nAnswer: 21154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + k**3 + 1121039*k**2 - 42451*k + 6.\nAnswer: -12*k**2 + 6*k + 2242078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -p + 4*p - l, -5*l - 5 = p. Does 11 divide ((-90)\/p - 4)*-155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:18 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 134. Calculate the highest common divisor of o and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 3:31 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 138 = 10*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81 - -3) + -2 - 92.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 2:02 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -20 + v - 11\/2*v**2. Suppose -2*i - 2*i = -4. Give m(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 - 6*d**2 + 21*d**3 + 4*d**4 + d**4 - 13*d**2 - 6*d**4 - 1 wrt d?\nAnswer: -24*d + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 59. Let b be o(14). Let l(z) = -z**3 - 32*z**2 - 33*z - 25. What is the remainder when 184 is divided by l(b)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 12 = -14*a. Let r(t) be the second derivative of -2\/5*t**2 + 0 - a*t - 4\/15*t**3 - 1\/100*t**5 - 1\/12*t**4. Determine f so that r(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -38. What is the remainder when 128 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 - -13?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 15. Let o be g(4). Let r(z) = z**2 + 6*z. Calculate r(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311996.1cm to meters.\nAnswer: 3119.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(9))\/sqrt(5)*-3.\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2521\/11 - -229. Let x = -7 - -5. Let v = x + 7. Put q, v, -2\/13 in descending order.\nAnswer: v, -2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40.968 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let l(m) = 2*m + 1. Let q(p) = 3*j(p) + 2*l(p). Let w be q(-8). Suppose w = 5*a + 3. Solve -a*n + 2 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**4\/16 - a**3 - 6*a**2 - 16*a - 26. Factor x(y).\nAnswer: -(y + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*d - 26. Sort d, -3, 4.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8278500 rounded to the nearest 100000?\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 2*t - 57*t**2 + 55*t**2. Let p(n) = -5*n. Calculate p(w(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 5*i)*(-5 + 5 + 2)*((0*i**4 + i**4 + i**4)*(-1 + 0 + 2) - 2*i**4 - i**4 + 6*i**4 - 144*i**4 + 230*i**4 + 208*i**4 - i**3).\nAnswer: 1196*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3.2, -8\/97, -4, -3.6, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(-3 + (-1 - -2)). Suppose -c = -5*m + 6. Suppose 0 = 6*o - o + 4*v - 161, 4*v + m = 0. Is 33 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 2*g + 49. Let v = g - -57. Suppose 2*o + o - 24 = v. Let b(q) = -2*q + 9. What is b(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292948 divided by 2?\nAnswer: 146474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1896006 and 30?\nAnswer: 9480030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + j**4 - 11*j - j + 7*j**3 - 6*j**3 + 1 as p*j**2 + x*j + b*j**3 + m*j**4 + y and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 75*28\/(-8)*-2. Suppose 0 = 2*s + s - u. What is s rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002481 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 28026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1143 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - -3.8. Let f = 78 + -76. Sort f, -0.2, n in increasing order.\nAnswer: -0.2, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 298.8666l?\nAnswer: 298866.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 - 50 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1ad (base 14) to base 9\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 38*o + 382. Let l be p(-9). What is the highest common divisor of 920 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-15)*-4*(-15)\/(-9). Suppose 10 - 10 = -s*y. Suppose 10*n - 2*n - 7624 = y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.1. Let t = g - -0.1. Let q = -3\/7 + 13\/14. Which is the nearest to t? (a) 5 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 7. Let s be ((-35)\/(-3))\/(5\/(-15)). Let o = -10 - s. What is the remainder when o is divided by p(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-14))\/(-1)*(-21)\/(-3). Let k(f) = 2*f**2 + 2*f - 7. Let a be k(p). Suppose -3*g + 11 = -4. Calculate the greatest common factor of g and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2173368 divided by -5288\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 5:23 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -0.4 (c) 2\/13 (d) 0.043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 0.9, -3, -2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkhkkghhkkkhk. Give prob of picking 1 h and 2 k.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -4. Let d = u + 7. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*y - 9*y + 32, -4*x = 5*y - 70. Suppose 0 = -3*q - o - 34 - 10, 0 = -3*q + 2*o - 47. Let n = -11 - q. Solve 0 = 4*j - n + x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -53. Let w(m) = 4*m**2 + m + 5. Let n(q) = 12*q**2 + 3 + 0 - 10*q**2 + q. Give y*w(c) + 5*n(c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - o + 5*k + 940, -5*k - 570 = 3*o. Let h = o - -443. Suppose r - h = -r. What are the prime factors of r?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.36 + 46. Let m = 0.46 + v. Is m < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003209114 rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/17, 1\/2, -7, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 521*p + 1781*p - 568*p - 3468. Factor -8 + 49\/2*d - 1\/2*d**4 - 51\/2*d**p + 19\/2*d**3.\nAnswer: -(d - 16)*(d - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12495 is divided by 500?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000112467921 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7*z + 6*z = 108, 5*b = -z - 178. Let o(y) = 3*y**2 - 2*y + 5. Let c be o(-5). Let l = c + b. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*s**4 + 20*s**3 - 20*s**2 - 80*s - 48 = 0. What is s?\nAnswer: -2, -3\/2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqyqeqqddeqq. What is prob of picking 2 q, 1 e, and 1 y?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10792 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*33075079.\nAnswer: 13230031.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -52222 divided by -26111\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 32. Let x be f(-17). Solve 2 = -q, -x*q = -5*n - 4 - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b45 (base 13) to base 4\nAnswer: -131330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 2 + 2 + (-5 - 6 + 0 + (4 + 0 - 2)*(1 + 4 - 4))*(-2*q + 0*q - 2 - 1) in the form d*q + f and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 340, 7256, 27312, 67078, 133124?\n\"Answer: 1095*a**3 - 749*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 67 - 47. Let d = 115\/4 - 29. Which is the nearest to d? (a) z (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17857.66ms to microseconds.\nAnswer: 17857660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 7*c**2 + 2. Let t(n) = 2*n**2 + 2*n - 3. Let g be t(2). Let h be 42\/g*6\/(-4). Let f be s(h). Solve 4*q + 5 = -2*r + 17, f*r - 7 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 + z + 5. Let b be k(-4). Suppose b = 5*i - 175. Calculate the greatest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -230 + 234. Calculate the lowest common multiple of 21 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435 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: Express 13*g**2 - 1085*g + 1085*g + (-g + g - 2*g)*(-5*g + 2*g + 2*g) + 3*g - 4*g + g**2 + 0*g as c + s*g**2 + t*g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -636*c**3 - 4*c**2 + 4*c - 896. Let q(s) = s**2 - 2*s + 5. Let j(g) = -i(g) - 2*q(g). What is the third derivative of j(f) wrt f?\nAnswer: 3816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 736 and 2760?\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -48933.3 take away 4?\nAnswer: -48937.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17969573077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 c when three letters picked without replacement from dddlcddcxbcdbck.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16205212 (base 8) to base 9.\nAnswer: 7026821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 930\/(-4)*856\/(-1070). Is 186 equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-15)*b**(10\/7)\/b*b*b)**(-44))**(-28))**(4\/3) assuming b is positive.\nAnswer: b**(-19008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 351 and 0.09.\nAnswer: 31.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from accwdctaccatc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3363459 divided by 449?\nAnswer: -7491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 70 = 4*a. Solve 3*c = -2*b - 1 + a, -2*c + 4*b = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 3, e: 5, y: 5, g: 3, b: 1}. Give prob of sequence ggmg.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9246903*d**4 - 910*d**2 - 7*d - 312.\nAnswer: -221925672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.8, -27, 7, 0.5, 4, 134 in descending order.\nAnswer: 134, 7, 4, 0.8, 0.5, 1\/4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(132)\/sqrt(3))**2 + (1*sqrt(110))\/sqrt(10).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 463600797 to the power of 1\/3, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3269070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -9) + -14 - 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12 + 2)*4\/(-10). What is the remainder when 22 is divided by 4*((-2)\/b - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:56 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -8*u - 4. What is the units digit of 322\/6 - u\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/36 and -75\/488?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - k + 117, -v - 4*k + 58 = -68. Suppose 4*u = -5*b - 297, 0 = -4*u - 42 + 50. Let y = b + v. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.49 - -42. Let y = -3.49 - w. Which is smaller: y or -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5101*x + 3707. Let r(u) = -5103*u + 3704. Let i(j) = 2*r(j) - 3*t(j). What is the first derivative of i(p) wrt p?\nAnswer: 5097","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r - 175. Let z be v(-18). Suppose 2*h + 22 = 4*k, 0*h = -4*k - z*h + 1. Let c(m) = -3*m + 9. What is c(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*j = -17, 20 = 4*w - 4*j - 0*j. Let u be -4 + 3 - (1 - 1). Let c be 2\/(w\/(-9))*u. Solve -c*i = -2*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4691 + -4686. Let v(t) = t**2 + 4*t - 6. Let p be v(-5). Let x be 0\/(-3) + -2 - p. Which is the closest to x? (a) 4 (b) 3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0 - 7\/18*i**4 + 2\/9*i**3 + 0*i**2 + 1\/6*i**5 - i. Suppose y(p) = 0. What is p?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:13 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 479? (a) 1 (b) -4\/7 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 6*a**2 + 7*a - 2. What is the remainder when 23 is divided by c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381520 divided by -3.\nAnswer: 381520\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x. Let a be 52\/6*3*(-3240)\/(-27). Suppose x = -3*g - 3*d + 2340, -4*g + 0*d - 3*d + a = 0. Round g to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3811 times 2850\nAnswer: -10861350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 183 = 21*h - t, 0 = -5*h - 3*t + 921. What is the smallest common multiple of h and 32?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 41. Let j be (-6)\/h + (-4)\/26. Suppose 1 - 9 = -r - 3*l, -2*r - l + 11 = j. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 3*f + 4*k, 2*f = -k + 20 + 155. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 21 = 2*y. Let n = y - -4. Let v(t) = -t**2 - 6*t - 4. Let z be v(-6). Which is greater: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2 + 62*n**2 + n + 1 - 2*n. Let w be r(-1). Suppose -2*d = -s - w + 3, 2*s + 56 = 2*d. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 183.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4823, -4822, -4821?\nAnswer: -4820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1243 + 1244. Let p = 204 - 204.8. Which is the second smallest value? (a) p (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**10\/50400 - u**6\/360 + u**5\/60 + 2*u**2. Let a(d) be the third derivative of x(d). What is the derivative of a(l) wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 567971091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1957080916 to the power of 1\/3, to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -66.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11931*k + 620341. Give q(-52).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/45, 4, -16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 3*w - 3*h - 266, 0 = -w - 4*h + 132. Is 30 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(-4*sqrt(50) + -5))**2*5.\nAnswer: -515625 - 125000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10645 - 91.\nAnswer: -10736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = 46. Let p be ((-11)\/(-2))\/(-4 + (-822)\/(-204)). What is the highest common factor of p and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5377 - 19309. Is -13932 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 7927?\nAnswer: -7922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(72))\/sqrt(12))\/(sqrt(150)\/sqrt(3) - sqrt(50) - sqrt(2)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1151\/53 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-205930)\/(-140) + 3\/42 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = -o. Suppose -2*r = -21 + o. Differentiate 0 - 13*s**3 + r*s**3 + 1 wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -596\/13 + 46. Let s be (5\/(-5))\/(1\/(-4)). Suppose -s*o + 1 + 3 = 0. Which is smaller: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4594 (b) 0 (c) -2 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2\/8 - 945*b\/8 + 2943\/2 = 0 for b.\nAnswer: -327, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*v - 18 = -7*v - 2, 27*l + 168*v = 169*v - 56 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 4 - 1 - -5. Suppose 0 = -4*j + 4*d + 20, -2*j - 11 = -6*j - k*d. What is the greatest common factor of 12 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -l + 3*g, -l = 3*l + g + 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, 1997 in increasing order.\nAnswer: -3, 14, 1997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14408671?\nAnswer: 41, 97, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 4:03 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -26*p**2 + 8*p + 1. Let f(k) = -374*k**2 + 104*k - 62. Let l(h) = 75*h**2 - 21*h + 11. Let r(y) = 2*f(y) + 11*l(y). Give -6*r(z) - 17*v(z).\nAnswer: -20*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 33*w**2 - 90*w - 79. Determine g(3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 96, 105, -8, -315, -888, -1799?\n\"Answer: -12*l**3 + 47*l**2 + 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 8. Let r be l(-4). Let z be (-21)\/(r\/(5 + 3)). What is the highest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 10*o + 29. Let m be r(-4). Let i(d) = -d - 8. Give i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/136)\/((-6)\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -175\/4 + 44. Let q = -1 - -1. Put v, q, -0.4 in descending order.\nAnswer: v, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110111 + -101?\nAnswer: -10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.118*-0.1.\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 790 + 932. Let y be ((-1359)\/(-12))\/(i\/(-144) - -4). Suppose 10*x - 3056 = y. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/2)\/l)\/l)\/l*l\/(l**(1\/40)\/l) assuming l is positive.\nAnswer: l**(19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5403, 10383, 15363, 20343, 25323?\n\"Answer: 4980*o + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.29+36701170\nAnswer: 36701169.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186688 and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2723.\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, -4, 1, -1, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:18 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/34726 and 53\/4268.\nAnswer: 763972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/(23072\/(-6489)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -11. Let y be m\/(-5) + 58\/10. Solve -3*f + 23 = 4*p, -2*p + y*p + f - 13 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.59573mm in centimeters?\nAnswer: 5.059573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 5 (b) 1 (c) -9077\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373169.\nAnswer: 103, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jeocjatttjeocc. What is prob of picking 3 c and 1 a?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -0.094585979?\nAnswer: 15.905414021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 76881020 and -342?\nAnswer: 76881362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k**3 - 7*k + 7*k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 47 + 15\/2*g**4 + 81\/2*g**2 + 0*g**3 + g. Find the second derivative of d(t) wrt t.\nAnswer: 180*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831222 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - ((-20)\/10 - 2) - 9. Let l(q) = -q**2 - 11*q + 4. Let w = 13 + -24. Let k be l(w). Solve 4*d - k - 16 = i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-20)\/(-12)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 494\/(-5) + 1\/(-5). Let b be -3 - (2 - 489\/y). Let s = b + 69\/11. What is the common denominator of -19\/10 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5870057 (base 11) to base 2\nAnswer: -100111000110001000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:20 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 6 - 6 = 4*o, 4*o + 24 = 8*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441923491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 142\/16)*16\/(-56). Suppose 5*d = -3*p + 13, -5*p + 4*d - 35 = d. Which is the nearest to f? (a) 0.1 (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-9)*q*q*q*q\/q**(1\/7))\/(q**(2\/21)*(q**(1\/13)*q*q)\/q) assuming q is positive.\nAnswer: q**(-1451\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 27. Let o be d(-5). Let -2*p - 4\/3 - 2\/3*p**o = 0. Calculate p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - -13)*(-1 - 4). Suppose 5*k + f = -5*d, 3*k + 2*k = d - 17. Factor -2\/3*s + 4\/3*s**d - 2\/3*s**3 + 0.\nAnswer: -2*s*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 754*j - 703. What is the thousands digit of g(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 142 - 139 - 3*d**2 + 0*d - 4*d. Suppose -2*z = -1 - 1. Suppose -4*r = 15 + z. Let t(w) = 4*w**2 + 5*w - 4. What is r*t(b) - 5*s(b)?\nAnswer: -b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3949364, -3949366, -3949370, -3949376, -3949384, -3949394, -3949406?\nAnswer: -3949420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 763 - 1203. Let f = -1577 - w. Is 3\/2 - f\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 37 (b) 2 (c) 0.3 (d) 0.4 (e) -0.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*3\/42 - (-40)\/91. Let v = -5.85 + 5.75. Which is the closest to z? (a) 1 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 6*b - 21 + 2*b**2 - 5*b - 27 + 0 to y*b + z + s*b**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-0.93\nAnswer: 0.0372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 287215 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, 1 m, and 1 v when four letters picked without replacement from {m: 3, h: 5, f: 1, i: 1, t: 1, v: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -58, -63, -70?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8206912 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -16 - (5 + 4 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.2, -54\/101, -0.4, -2\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Let o = 3 - 2.7. Let v = o - 0.1. Sort w, -3, v in decreasing order.\nAnswer: w, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7028440 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(44)\/sqrt(99) - -3*sqrt(12)\/sqrt(3)))\/((sqrt(44)\/sqrt(2)*-2)\/(sqrt(44)*-2)).\nAnswer: 80*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 631 + -137. Suppose -6*g + 1408 = -r. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Let p(n) = 9*n - 18. What is the tens digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (95\/76)\/((-45)\/(-24)). Let y = 68 + -69. Which is the closest to z? (a) 0.2 (b) y (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.01. Let t = 2457.9900004 - 2458. Let h = k - t. What is h rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -793, -788, -779, -766, -749, -728?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + 21)\/(0 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, l: 1, j: 1, a: 1, o: 2}. Give prob of sequence ag.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 728*s**2 + 2886*s - 2160.\nAnswer: 2*(s - 360)*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 2*(1 + -2). Suppose i*u - 4626672 = -4*u. Suppose 0 = -4*y + 5*h + 13999990, 4*h + 12843324 = 4*y - u. What is y rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120736 and 25860?\nAnswer: 780558240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-16))\/i)**(-1\/9)*i\/i**(2\/3)*i*i\/(i**(-6\/31)*i))**(-40) assuming i is positive.\nAnswer: i**(2800\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 1295*y**2 - 196*y + 1290*y**2 - 2584*y**2 = 0.\nAnswer: 0, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/2075 and 103\/4814?\nAnswer: 120350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/829?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sosoososssssogo. What is prob of picking 1 s and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 283681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 x when four letters picked without replacement from {o: 3, f: 4, x: 11}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3031402818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23330 + 23?\nAnswer: 23403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 4\/5 (c) -10 (d) -4992 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 + 354. Suppose a - 4*j = 180, 4*j + x = a + j. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -323*y**2. Let i(j) = 221900*j**2. Let l(t) = 6*i(t) + 4121*w(t). Let q(k) = -2*k**2. What is l(q(o))?\nAnswer: 1268*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**2*k*r**2 + g**2*r + 2*g*k**2*r + 49*g*k**2 - 2298*k**2*r**2 + r - 2 wrt r?\nAnswer: 8*g**2*k - 4596*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -398686 times -4\nAnswer: 1594744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*j**2*x + 3716426*c*j**2 + 4*c*j - 169037*c*x**2 - c*x + j**2*x**2 + j wrt j.\nAnswer: -2*c*x + 7432852*c + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 484454447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 33. Let w = -37.1 + v. What is the nearest to w in -2\/11, 23, -1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1901067 greater than -1901353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + 0.29. Let z = x + 0.7. Which is the biggest value? (a) -4 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0)*((-4*s + 3 - 3)*(-2*s**3 + 0*s**3 - 2*s**3) - 99*s**2 + 99*s**2 - 10*s**4) as a*s**3 + f + r*s**2 + q*s**4 + m*s and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywywyy. Give prob of sequence wy.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(396) + (sqrt(30)*2)\/sqrt(6).\nAnswer: 13*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17018 (b) 2\/17 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 3184888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -32. Solve -2*q - 10 = 2*z, -4 = -4*q - n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53377934 is divided by 197?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2. Let n(a) be the second derivative of -a**7\/2520 + a**4\/4 + 3*a. Let p(k) be the third derivative of n(k). Determine p(s(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 12509\nAnswer: -3\/12509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtf when three letters picked without replacement from {f: 2, w: 8, v: 4, t: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -61, -48, -15, 44, 135?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2536738120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1635 + 854. Let t = -761 - w. Solve 0 = 9*f - 13*f - t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.81 - 2.8. Round x to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4122, -4118, -4136, -4188, -4286, -4442, -4668, -4976?\nAnswer: -5378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k*k*k\/k**2)*k**(-18)*k*k*k assuming k is positive.\nAnswer: k**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z. Let b(s) = 623*s. Calculate i(b(m)).\nAnswer: -623*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3056794*d + 2021069?\nAnswer: 3056794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 666, 830, 994?\n\"Answer: 164*c + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + v)*(0 - 2 - 4) + 2 + 2*v - 2.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 3*k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(128) - sqrt(128)) + -2)*1)**2 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sii when three letters picked without replacement from {t: 2, s: 11, i: 2}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2608 (base 13) to base 14\nAnswer: -1d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 3*q - 2*q + (696*q + 3624341 - 3624341)*(2 - 2 - 1) in the form i*q + d and give i.\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 104127 - 104127 + 5*t**2. Let q(m) be the third derivative of m**4\/24 - m**2. Give q(x(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20933464.\nAnswer: 2, 2616683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 + 14 + -10 - 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 275091841.92.\nAnswer: 275091841.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 2*u**2 + 6*u + 8. Let r be y(4). Is 2\/77 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 42*g + 6. Let h(n) be the third derivative of n**5\/20 - 216*n**2 + 2. Calculate b(h(r)).\nAnswer: 126*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 2. Let u(d) = 7*d + 11. Let f(v) = 2*v - 9*v - 12 + 0*v - v. Let s(x) = l*f(x) - 7*u(x). Give s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-6 - sqrt(88))*-6 + 6*(sqrt(88) - -1*sqrt(88)))\/(((sqrt(256)*-1)\/sqrt(8))\/(sqrt(4) + (sqrt(576) - (sqrt(576) - sqrt(576)*-2) - sqrt(4)))).\nAnswer: 1296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 + 69 = -p - 2*h, h = p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-133)\/33)\/(11055\/(-1584) + 7).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, h: 3, x: 1}. Give prob of picking 1 x and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*j - 6 = 5*k, 10 = -2*k - 4*j. Let p = k - -12. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1174088 and 1101532.\nAnswer: 6596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 divided by -2099.\nAnswer: 156\/2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/24 - h**3\/6 + h**2. Suppose -22 + 6 = 4*d - 4*n, 2*n = 3*d + 11. Let x be (d - -4)\/(-1) - -2. Determine m(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227215051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20997925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160815\/21300 + (-2)\/40.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6202 + 5600. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29037 + -280.\nAnswer: 28757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7071, -28332, -63815, -113520, -177447, -255596?\n\"Answer: -7111*a**2 + 72*a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2788 - -2788.0001371. What is r rounded to 6 dps?\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-625)\/2 - 4\/8. What is the hundreds digit of (-32)\/24*6\/(-4) + n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7139 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11432176 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8808, 8815, 8822, 8829, 8836, 8843?\nAnswer: 8850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/277319 and -88\/10899.\nAnswer: 2495871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Suppose -2*u + 2*z - 8 = 0, -b*u - 2*z - 3*z = -20. Suppose -1307 = -u*q - 2*q + 5*p, 3*q + 3*p - 1908 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (555\/370)\/(((-1)\/3)\/((-20)\/135))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39196, -39195, -39194, -39193?\nAnswer: -39192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.5 + 4.7. Let k = -31 + 36. Which is the closest to -1? (a) 58 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x = 995 - 755 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 611636.4 to the nearest one thousand.\nAnswer: 612000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111316, 111623, 111924, 112219, 112508?\nAnswer: 112791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 + 3*s**2 - 12*s - 4. Suppose -5*x - 30 = 4*i, -i - 5*x - 1 = 14. Is q(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129034354+-742\nAnswer: -129035096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 204522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000101836254 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j**(2\/11))\/(((j\/(j*j*((j**(-6)\/j)\/j)\/j*j))\/j)\/j**8)*(j\/j**0)**(-42)\/(j**(1\/3))**46 assuming j is positive.\nAnswer: j**(-1898\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r - 704. Let y(w) = -w - 12. Let b be 99\/(-6)*(-8)\/(-6). Calculate b*c(i) + 2*y(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77100 - -24630. Let k be 1\/4 - o\/(-63672). Let z = k - -1\/379. What is the nearest to -1\/4 in 0.1, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*h)*(h + 3 - 3 - 5*h - 4*h - h + 1 - 1 - h + (-3 + 0 + 5)*(-3*h + 3*h - 2*h) - 2*h + 1 - 1 + 0*h - h + 0*h + h + 2*h - 2*h).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 14 + 5. Suppose p*i + 15 = 12*i. Solve -3*k = 3*w - 6, 0*w + w - 18 = -i*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 + 429. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10*2789*-4*(-8)\/64?\nAnswer: 5, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 - 1. Let c(l) = -l**3 - 10*l**2 + 10*l - 10. Let y be c(-11). Let g be q(y). Suppose -k = -g*b, 22 = -k + 4*k - 4*b. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 965383.08 to the nearest 100.\nAnswer: 965400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-13)*z*z)\/z)\/(z*z**15\/z) assuming z is positive.\nAnswer: z**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.2 (b) -5 (c) -3\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let i be (10\/(-2) + 2)*3. What is the units digit of a(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10920020 >= -10920021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/15181 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00162209812 to five dps.\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 686 + -683. Solve -f = -n - t, 2*n - 5*n = -2*t + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337 = -226*v - 1923 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**3 - 20*q**2 - 8646*q + 34529. Calculate j(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33 + -35406.\nAnswer: -35406.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6488 divided by 6488?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430 divided by -6.\nAnswer: -215\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8923 + 8922.401. Is -0.1 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhj when three letters picked without replacement from {j: 1, v: 4, n: 3, r: 1, c: 4, h: 2}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104981 divided by 1104981?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 24. Let n be 3\/m + (-1426)\/(-4). Suppose -n = o - 4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*f - 2104, 0 = 5*f - 3*r - r - 2107. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -376*u - 688. Let q(x) = -2*x**2. Determine s(q(m)).\nAnswer: 752*m**2 - 688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6745, -6751, -6757, -6763?\nAnswer: -6769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -171*j**3 - 12*j**2 - 6*j - 6. Let h(o) = 5*o**3 - 2*o**2 - o - 1. Determine -6*h(r) + v(r).\nAnswer: -201*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*z + 45. Suppose -w - 2*h = -4, -2*h = -w + h + 4. Suppose z = -k + w*k. Put 3\/5, 2, k in increasing order.\nAnswer: 3\/5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/28)\/(2\/(-8)). Let i = m + 0. Let z(y) = 6*y - 134. Let r be z(23). Which is the nearest to -0.1? (a) r (b) i (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*5260\/48 + (-2)\/(-8).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 83*q + 1230. Calculate the remainder when z(-68) is divided by 64.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 525665484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2227 + -2226. What is the second smallest value in -0.2, m, -77, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 10) in base 15?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -17*t**2 - 7*t + 8. Let w(o) = -6*o**2 - 2*o + 3. Let m(y) = -4*g(y) + 14*w(y). What is the first derivative of m(u) wrt u?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 908 = -2*b, 4*b - 58 = -h + 2*b. Solve 228 = h*m - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/4)*o)\/o*o\/o**(1\/17)*(o**(-14)\/o)\/(o\/(o*(o\/(o\/(o**6*o)))\/o)) assuming o is positive.\nAnswer: o**(-463\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 2*q**2 - 2*q + 1. Suppose -5*j - 4 = -3*j. What is the remainder when 1\/((-2)\/82*-1) is divided by o(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/34)\/((-3)\/(-2) + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -934 = -3*w - 5*y, 40*w - 37*w - 2*y - 983 = 0. What is the remainder when 418 is divided by w?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992474741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*a**2 + 3 + a**3 + 0*a**3 + 7 as j + x*a + d*a**2 + c*a**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 + 27?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 6, -13.\nAnswer: -13, -2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 68769938002.\nAnswer: 68769938002.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 40 = -5. Suppose 3*d = m*d - 16. What is the remainder when 2\/8 + (-110)\/(-8) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - a**2 + (-2695 + 2695 - 77*a**2)*(2 + 0 - 3) as q + x*a**2 + w*a and give x.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Suppose 5*y - 1384 = -2*d - 586, -2*d + 4*y + 834 = t. Let v = -36 + d. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 4:50 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) -9 (d) -18 (e) 1\/23665\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 6*v**2 - 6*v - 1. Let l = -17 + 12. Determine m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -p + 6*p. Let x(l) = -4*l + 2. Give x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47008.9 take away -15982660?\nAnswer: 15935651.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-4 + 55*j**3 - 18005*j + 18006*j + j**2 - 2*j**2).\nAnswer: 55*j**3 - j**2 + j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/22, -3.51, 0.4?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1703645\/30876216 - 3\/77384. What is the common denominator of u and -64\/3?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 + 56. Let v = 43 + q. Find l such that -2\/7*l - 2\/7*l**2 + v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -425161 (base 15) to base 4.\nAnswer: -30002133211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5538 and -2.\nAnswer: 11076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46031 is divided by 3284.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31050 >= 31052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322836504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.13790081 - 12.\nAnswer: 9.13790081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -151, -514, -1221, -2386, -4123, -6546, -9769?\nAnswer: -13906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 - 17\/2*r**2 - 5*r - 1\/2*r**4 + 0 = 0. Calculate r.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -565, -1296, -2323?\nAnswer: -3646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2490 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 440693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*a + 2*d + 9, -a + 4 = 3*d. Let n = -3 + a. Solve 0 = 2*w - 7*w - 2*t - 21, 0 = -3*w + n*t + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-88))\/(9\/(-12)). Find u such that -2\/11*u**5 + 0*u**2 + 0*u**4 + 4\/11*u**3 - v*u + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**7\/840 - c**6\/90 + c**4\/12 + 25*c**3\/3 - 10. Let k(h) be the third derivative of p(h). Give k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11133023111 (base 4) to base 8.\nAnswer: -5371325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 8*b**2 - 10*b + 3. Let h be r(7). Let a = 31 + h. Solve -9 = j - 5*z, 5*z - a = -j - 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 1, o: 2, p: 1, q: 1, e: 1}. What is prob of sequence qzo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 350 = -62*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353771 is divided by 117493.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-20))\/(1\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + l**4 - 1)*(9*l + 14*l - 17*l).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 5*k**9\/252 - 37*k**5\/60 + 11*k**2 - 48. Let h(a) be the second derivative of l(a). Find the third derivative of h(s) wrt s.\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1)*(17*j**2 + 6*j**2 - 6*j**2)*(2*j**2 + 0*j**2 - j**2) in the form n + s*j**2 + a*j**4 + q*j + v*j**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) -0.3 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 4*v**2 - v + 4. Suppose -66 = -l - 63. Calculate u(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - -0.4. Let w = k + -1.9986. What is w rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/862108 and -115\/24?\nAnswer: 5172648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**4*n + 2154*i**4 + 175*i**2*n + 7*i*n + 2*i - 175884 wrt i?\nAnswer: 60*i**2*n + 25848*i**2 + 350*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**3 - 3*c**2 + 15*c - 31. Determine y(4).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/15 - (-1)\/6. Let l(x) = -x**2 + 2. Let v be l(0). Which is the nearest to -0.1? (a) 5 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -32*j + 19*j + 13*j - 1 + j**2. Let f(n) = -n**2 - 2. Let y(r) = -f(r) + 2*h(r). Let v(a) = 23*a**2. What is y(v(g))?\nAnswer: 1587*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13563883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r**3\/4 - 1299*r**2\/4 - 192*r + 129 = 0.\nAnswer: -86, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, a: 5}. Give prob of sequence hhh.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 = 43*s + 220 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21902, 43831, 65758, 87683, 109606, 131527, 153446?\nAnswer: 175363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212 - 211.6. Let h = -46.4 - 2.6. What is the third biggest value in i, h, 4\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(405)*-1)\/(sqrt(567)\/sqrt(7) - sqrt(9)))\/(sqrt(144) - -3*(sqrt(144) - 2*sqrt(144)) - -5*-2*sqrt(144)).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.39811 * -0.09\nAnswer: 0.0358299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15989*o + 199. Is m(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104284?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -67. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374458433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 11:50 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 66235.\nAnswer: -1\/13247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3720 or -3721?\nAnswer: -3720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 5. Let h be i(-7). Let m = -4 - h. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l = -46399 + 2025367. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17981887*a*z**4 - a*z**2 + 50580065*a wrt z?\nAnswer: 71927548*a*z**3 - 2*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 38 = 88. Let a be ((-102)\/v)\/(26\/(-1170)). What is the greatest common factor of a and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72 and 61320?\nAnswer: -4415040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 728 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*z - 263258 = -86458. Suppose 88 = 3*j - 32. What is the greatest common factor of z and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(187) + sqrt(187))\/sqrt(11) + -3)**2.\nAnswer: -42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + 5*t - 14*t)*(0 - t**3 + 0).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*l = -354*l + x + 36, 0 = -l + 4*x - 36. Put 2, 30, l in ascending order.\nAnswer: l, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770006.2 kilograms to nanograms.\nAnswer: 770006200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 9:34 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 14) to base 13\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**4*m**2 + 15191*k**3*m**3 + 35508*m**3 - m**2 wrt k.\nAnswer: -4*k**3*m**2 + 45573*k**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-9 - -5) - (3 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 861 + 2115. Calculate the highest common divisor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z - 70*z + 65 = 0. Solve 21 = -3*p + 3*o, 3*p - z*p - 22 = -4*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 7. Let u(q) = -5*q - 7. Give -4*o(j) - 3*u(j).\nAnswer: -j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -4. Let r = g + -15. Let h be r*2\/(10\/(-1)). Which is the smallest value? (a) -3 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314434.\nAnswer: 2, 157217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-1 - (-30)\/33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(704) - (2 + sqrt(704)))*-2)**2 - sqrt(704) - (((sqrt(396)*2 - sqrt(396))*-3 - sqrt(396)) + sqrt(396))\/sqrt(9)).\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*d + 4*c, c + 4 = -4*d - 3*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 15)*(106 + 14 - 14)*(2*u + 0*u + 0*u)*(2*u + 1 - 1)*(-1 + 1 - 2*u) in the form x*u**3 + t + y*u + n*u**2 and give x.\nAnswer: -11024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 times 6818?\nAnswer: 14999.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 12, 6*f = -2*b + f - 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 3, n: 1, l: 1, x: 2, j: 3}. What is prob of sequence ku?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -385*h + 6950. What is the hundreds digit of a(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -15. Let b(r) = -r**2 - r - 3. Let w be b(0). What is the units digit of (w\/2)\/(i\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150468463*s - 418200141 with respect to s.\nAnswer: -150468463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = -16. Let b be 7*(-36)\/(-140)*(-10)\/3. Let w be (-216)\/(-36)*(-1)\/b. Sort x, w, -3 in increasing order.\nAnswer: x, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 7*x**2 + 7*x + 10. What is f(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/86430 and 29\/288100.\nAnswer: 864300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86349.88 centimeters to millimeters.\nAnswer: 863498.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -0.21.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30912050*t - 6*q + 23 = 30912049*t, 0 = 2*t - 5*q + 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4 - 11 - n + 5 + 6. Let h(c) be the first derivative of -3*c**2\/2 + 11*c + 1. Calculate 4*h(s) - 11*o(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from lllulluuull.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 11*y**2 + y - 3. Let v be a(11). Calculate the greatest common divisor of 56 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 8:01 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13080?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-288) - 4\/48. Suppose -b - 3*b = 0. Let p(l) = -l**3 + 2*l**2 + 5*l - 4. Let f be p(3). Solve n = -f*g - b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggnn when four letters picked without replacement from {g: 2, n: 7, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/18*((-8)\/(-1) + 1). Let m(a) = -a**2 - 6*a + 1. Give m(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-9 - -3 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**3 - 7*x**2 + 6*x. Let l(y) = 8*y**3 - 8*y**2 + 7*y. Determine -5*l(n) + 6*t(n).\nAnswer: 2*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - z - 1. Let x(j) = 6*j**3 - 5*j**2 + 11*j + 1. Let f(n) = x(n) + 5*y(n). Let a be f(4). Suppose -64 = -0*k - a*k. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*260\/(-140)*(-1)\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11828099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(6)*-3)\/(2*sqrt(30)\/sqrt(3)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4201*o**2 + 9*o - 11. Let v be b(3). Suppose 284*y + v = 267*y. What is y rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(640)\/sqrt(10) + sqrt(4) + sqrt(8)\/sqrt(32)))\/((sqrt(2) - (sqrt(28)\/sqrt(7))\/sqrt(2)) + (-4*sqrt(2) + sqrt(2))*1))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129692285?\nAnswer: 5, 23, 49033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from uuuuuucucuuu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 6*r + 2*r**3 - 4*r)*(-2*r - 2 - 2*r + r) as f*r + o + g*r**2 + v*r**4 + p*r**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101660737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 - 2*s. Let v(h) = -2117*h + 448. Give v(o(c)).\nAnswer: 8468*c**2 + 4234*c + 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/57 and -55\/15454.\nAnswer: 880878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/c**(-22)))*c**(3\/10) assuming c is positive.\nAnswer: c**(233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**6\/2 + 2*q**3 + 3. What is the third derivative of x(c) wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 + -148 + -139 - (-2 + 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 20*v - 40. Give r(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9576491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2347 + -18843\/8. Let k = -79001\/6640 - 3\/1328. What is the common denominator of k and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let u(f) = -7*f - 8. Let i(l) = l. Let s(a) = 4*i(a) + u(a). Let h(c) = -3*s(c) + 24*v(c). Let b(r) = -r. Determine h(b(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 + 39*h**2 - 9*h + 5. Let t(j) = j**3 + 10*j**2 - 2*j + 1. Calculate -9*t(c) + 2*z(c).\nAnswer: -3*c**3 - 12*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -203913*n - 1. Let c be s(23). What is c rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*q**2 + 56*q**2 - 2819 + 652 - 35*q**2 - 573*q - 988*q wrt q.\nAnswer: -2*q - 1561","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41622243 and 142.\nAnswer: 41622385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + 5*r + 4. Let g = 23 - 25. Let b be x(g). Is -2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6101 less than -2.198?\nAnswer: -6103.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35136.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431264*a - 862529*a + 431264*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1630 + 1607.994. Let l = r + 22. Which is the second biggest value? (a) 2\/11 (b) l (c) 2\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 218.81 + -2.81. Let n = 211.48237 - -4.65663. Let v = n - u. Round v to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t**6*t*t*t)\/t))\/t**(1\/3)*t**10\/t*t*t**6*t)**(17\/6))**(6\/11) assuming t is positive.\nAnswer: t**(544\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 29385 divided by -5\nAnswer: -5877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-45) + (-2)\/6\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 6*q - 8. Let b be p(-4). What is the greatest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 t, and 2 d when four letters picked without replacement from {d: 3, t: 2, k: 4, z: 1, x: 3, u: 4}.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-258)\/4300*(-6)\/(-3)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 2*q - 4. Let k be m(3). Let d = -0.1 - -5.1. Let c = 5.1 - d. What is the closest to c in 3, 4\/5, k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*b*b*b**15*b)\/b)\/b)\/((b\/b**19)\/b))**(7\/8) assuming b is positive.\nAnswer: b**(259\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6476785 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 2, 0.5, -1 in ascending order.\nAnswer: -1, 0.5, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-12 - 1) - -5 - (40 - 32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 0, -3*o + 97545 = o + h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008105 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**3\/2 - 13*y**2\/2 - 2*y. Let s be k(4). Let d be 0\/(-1) + (-4)\/(-10). What is the second biggest value in -4, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) + 3*sqrt(528)*2)\/sqrt(12) - ((sqrt(176)\/sqrt(4) + sqrt(44) - sqrt(44))*-4 + sqrt(352)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2. Suppose 3 = 4*i - 1. Let l be 2\/(-1)*1\/(-2). Let x(s) = 5*s - l - 7*s + i. What is h(x(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/59? (a) -1\/7 (b) 5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -345120241 + -42?\nAnswer: -345120323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -475188 at most as big as -475185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k*k**(2\/7))\/k)*k*k*k*(k*k**(2\/5)*k)\/k*k)\/(k*k**12*k*k\/(k\/(k\/k**(-8)))))**(-16) assuming k is positive.\nAnswer: k**(10016\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1600 + 2717. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 2*c - 1. Let l(t) = -7*t**2 - 9*t - 6. Give 6*g(r) - l(r).\nAnswer: -5*r**2 + 21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72.29 - 74. Let g = q - -2.01. Which is the biggest value? (a) -1 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363118731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315) - ((sqrt(315) - sqrt(315)*3 - sqrt(315)) + sqrt(315)))\/sqrt(7) + 6*(sqrt(605) - (-1 + sqrt(605)))**2.\nAnswer: 6 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3268 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 16 = 3*d. Let p(u) be the first derivative of u**3\/3 - 3*u**2 - 2*u - 6. Let g be p(6). Sort d, 0, g.\nAnswer: g, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2 - 584424*u - 6428301 = 0. What is u?\nAnswer: -194797, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*2*(-2)\/(-88). Let b = -5 - -7. Let s = b - 1.8. Put s, 0, o in descending order.\nAnswer: s, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*o = -2, 2*r - 1417*o = -1421*o + 26 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - 12*f - 13. Suppose 0 = -5*k + 104 - 9. Let b = k - 12. Is 9 a factor of w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bc021 - 4?\nAnswer: -bc025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(13) + 0 - sqrt(13))*-2 + sqrt(117)*3*-5)**2 + 3.\nAnswer: -90*sqrt(13) + 26329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 306884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -796338 and 2.7?\nAnswer: -2150112.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 39*g**2 + 1419*g - 347. What is c(38)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + k + 2*q - 544, 4*k - 2158 = q. Suppose 0*i - 5*i = -k. What is the highest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (2\/(-3) - (-5)\/(-15)). Let v = 9 - b. Solve 0 = w + v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-34)*-2*37\/37*2.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + ((-1292238)\/(-10094) - (3078\/(-441) - -7))?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -32629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.5 - 24. Let r = -11 + l. Let m = r - 0.5. Is -1 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 divided by 3?\nAnswer: -385\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3097?\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119502137 rounded to four dps?\nAnswer: 0.1195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1621 + 1722. Calculate the remainder when t is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 - 1329*s\/2 + 37465.\nAnswer: (s - 1270)*(s - 59)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -81859 - -0.5\nAnswer: -81858.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 13942566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -17583732 and -17583732 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 1\/6 (c) -0.112 (d) -30\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/8 + r**2 + 15*r\/8 - 27\/4.\nAnswer: -(r - 9)*(r - 2)*(r + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m - 1\/72*m**4 + 0*m**3 - 11*m**2 - 1\/360*m**6 + 3 + 1\/90*m**5. Factor s(f).\nAnswer: -f*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -18*g + 33 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.4589 to two dps.\nAnswer: 9.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8085948 and 23013852?\nAnswer: 299180076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a4 - 5?\nAnswer: 99e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419 = 17*r + 368 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6)*c*c\/(c*c**(2\/27)))\/((c*c**(-1\/6))\/(c*c**2)) assuming c is positive.\nAnswer: c**(-103\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 9, 5, -1?\n\"Answer: -p**2 + p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 2. What is h(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Let q be ((-27)\/135)\/(4\/(-30)). Let m = -0.38 + 9.38. Which is the biggest value? (a) m (b) -4 (c) l (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 7*x - 6. Determine q(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-5)*25\/(-100).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13050, -13152, -13338, -13620, -14010, -14520, -15162, -15948?\nAnswer: -16890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 79?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29999a (base 12) to base 10.\nAnswer: 701254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4706289*-29\nAnswer: 136482381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.061 + 0.267. Let r = -0.48 + u. Round r to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5356, 21307, 47858, 85009, 132760, 191111?\nAnswer: 260062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1876 divided by 134\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 + 2*u + 1. Let z = 503 + -507. Let n be ((-195)\/(-12))\/(-13)*z. Let v(b) = 6*b**2 + 3*b + 1. What is n*v(c) - 7*t(c)?\nAnswer: 2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(34)\/sqrt(2) + 2).\nAnswer: 10 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - sqrt(209)*2)*-3)\/sqrt(11))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -9. Let m(g) = -2*g - 7 + g - 2*g + 2. Is m(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805637349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 56\/(-84))\/(1\/((-12)\/(-88)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 5*r - 7. Let q be y(6). Suppose f + 5*x = -2*f + 28, f = x + 12. Let c be 2 + q + 0 + f. What is the greatest common factor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8436.986 millennia in months?\nAnswer: 101243832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -601 - -714. What is the remainder when y is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37143359 times 19?\nAnswer: 7.05723821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 16. Let d be b(20). Let a be 76\/10 + 2\/5. Suppose 4*g - 5*w = a + 1, 14 = -g - 2*w. Is d <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -123\/5?\nAnswer: -123\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/(-165))\/(2\/5)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*q - 5*q - 4 = 0, -4*d - q + 8 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41523188 divided by -2806.\nAnswer: 14798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -17. Suppose 2*l - 3*l = -d. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Suppose -c + 15 = g*c. Suppose 2*k - 92 = -c*h, -h - 96 = -5*h + 4*k. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 - 160. Solve 13 = -r*z + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*f + 60, -4*j = -6*f + 4*f - 2. Solve f*t = 7*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t - 3. Let g be i(1). Let b be g*4\/((-36)\/(-15)). Suppose 4*m - b = -m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xetf when four letters picked without replacement from fejjeetexmeej.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 2, -0.3, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(128) + -1)*-6 + -1 + -3*sqrt(8) + 5.\nAnswer: -78*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9ba4b0 + 4?\nAnswer: 9ba4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325, 313, 287, 241, 169, 65?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2402, -4790, -7160, -9512, -11846?\nAnswer: -14162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*c - 129*c + 138*c + 170*c.\nAnswer: 277*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 1 + (25 - 7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/71915 and 37\/87055?\nAnswer: 1654045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f. Let z(m) be the second derivative of 0 + 1\/4*m**4 + 0*m**3 + 3*m + 0*m**2. What is b(z(n))?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11364899 - 4?\nAnswer: 11364895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43002333 (base 5) to base 15\nAnswer: -718b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbpbbdpppbbvpppb. What is prob of picking 2 b and 1 d?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 30 - (574 + -500).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -578 - -580. Let g be -1 - 7\/((-98)\/6). What is the closest to d in g, -4, -38?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:45 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -769038413 + 246204074. Let p = g + 522834332.49999938. Let y = p + 6.5. Round y to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537587158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f - 8. Let l be (-6)\/(-27) + 25\/9. Let q(c) = c + 5 - 2 - 1 + c**2 - l. Calculate q(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 6. Let s be n(4). Let y be 1*(3 + (1 - 0)). Suppose -2*d + 0*d + y = -4*g, -3*d = 0. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 12. Let w(v) = 18*v - 1. What is the remainder when w(d) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5249\/272 + -276\/17. Find the common denominator of n and -19\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c + 46*c**2 + 28*c**2 + 0*c + 9*c.\nAnswer: 74*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4\/m)\/(m*m\/(m*m\/m**(-6\/7))*m))\/(m*m\/((m\/(m\/(m\/(m\/(m*m*m**(3\/7))))))\/m)*m*m*m*m*m**(4\/7)*m*m) assuming m is positive.\nAnswer: m**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 0.2, -0.1, 0.093.\nAnswer: -0.1, 0.093, 0.2, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 25 = 5*w, 26 = -2*w - 5*u + 3. Is -422*w\/(-4)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/(-7) - (-1)\/((-28)\/(-8)). Let c be 65\/(-10)*(k - 2). Let f = c + 98. What are the prime factors of f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-1 + 95\/15). Suppose 4*j = 2*m + n - 2, -20 = -3*j + m. Which is the smallest value? (a) 2 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:38 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, -0.5, 3491, 6\/7, -1\/3, -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(144) + sqrt(144)*-2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4478 and 10.\nAnswer: 22390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*k - 93*k + 2319 = -3342 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/30)\/(3\/8*8).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 27 = -5*x. Let t(a) be the second derivative of 1\/2*a**2 + 0*a**x - 1\/4*a**4 + 0 + a. Determine t(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - ((1 - 5) + 1)) + (124 - (56 + 77))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -3 - (-9 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19963333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let q = -0.0963 + -101.1037. Let i = 101 + q. Put 5, -4, c, i in increasing order.\nAnswer: -4, i, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -757 by 4.\nAnswer: -757\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130374 is divided by 32563.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 238 (b) 77\/3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h + 54*h - 178129 + 3010791 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/31, 13\/4, 155, -0.3 in descending order.\nAnswer: 155, 13\/4, 20\/31, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -423, -636?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a. Let q be n(0). Suppose 0*k - 3*k + 27 = q. Calculate the remainder when 35 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5463, 11023, 16675, 22419, 28255, 34183, 40203?\n\"Answer: 46*s**2 + 5422*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 13, s: 1, v: 3}. Give prob of sequence ws.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*j**3 + 30*j**2 - 36*j - 34.\nAnswer: 2*(j + 1)**2*(16*j - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*x = 39 - 44, 6*s + 5*x + 65 = 0 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:02 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 146*a**3*j + 928*a*j + 308850*j wrt a.\nAnswer: 438*a**2*j + 928*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 = 2. Solve 0*q - 3*p = y*q + 9, 2*p + 1 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 8*r = 112. Solve -16 + 4 = 2*k + 4*y, -3*y = 4*k + r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6419 - 44935\/7. What is the fifth smallest value in -1, 5, -0.5, -2\/21, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.6 - 4.4. Let r = m - -19. Let h = -0.3 - -1.3. What is the nearest to r in -4, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 82*s + 85. Calculate g(6).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v - 5 - 4 - 7*v. Let n be i(-10). Solve -2*z - 3 = 3*b, n = -b - z - 2*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -3*o - 4, -524*d = -2*o - 522*d - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = 2209 - 2407 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.79 + -101.21. Let r = i - -103.335. Let s = r - 0.035. What is the closest to -1\/4 in 0.04, 2\/15, s?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142697882681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.6339252 rounded to three dps?\nAnswer: -98.634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4654*f = -4690*f - 828 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/4)\/(5\/(-20)). Suppose 5*q - 43 = -0*m + m, 0 = -q + 3*m + j. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 161115935 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 2*g**2 + 7*g + 5 + 0 - 3 - 4*g. Calculate the smallest common multiple of 8 and n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**3 - 91*u - 192 wrt u.\nAnswer: -3*u**2 - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/264*12)\/((387\/132)\/((-75)\/(-200))).\nAnswer: 1\/172","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1676366.\nAnswer: -2\/838183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 115*k**4 + 1040*k**3 + 1770*k**2 - 2800*k - 125 = 0.\nAnswer: -5, -1\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -96, -133, -188, -267, -376, -521?\n\"Answer: -s**3 - 18*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 793b (base 13) in base 16?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -909655000 to the nearest 1000000.\nAnswer: -910000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 + 22*f + 74. Determine n(-6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*h + 140, x = -h + 3*x + 14. Let p be 11\/(-40) - 3\/h. Put 0.4, p, -4 in descending order.\nAnswer: 0.4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 3) + -1 + 0. Let t(l) = -l**3 - 6*l**2 + 9*l + 10. Let y be t(s). Is 3\/(-6) + (-214)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 765300 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6569.257ml to litres.\nAnswer: 6.569257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1743, -2912, -4081, -5250, -6419, -7588?\nAnswer: -8757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 94 - 2*f**2 + 94. Let n(l) = -11*l. Determine n(m(r)).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -0.6, 2.7, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 432767.4 rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) + 3*(-57)\/297. Let i = -15 + 20. Suppose -5 = -i*m + 4*t, t + t - 1 = -m. Which is the closest to -0.1? (a) 2 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c - 58. Determine a(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 2*t + 5*t)*(99 - 99 - 45*t**2).\nAnswer: 90*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h + 444 = -28*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -6206?\nAnswer: 6204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32909*c*w**2*x**2 - 114*w**2*x**2 + 14*w**2*x - w**2 with respect to c.\nAnswer: 32909*w**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -2\/15, 2\/3, 15 in increasing order.\nAnswer: -7, -1, -2\/15, 2\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5341145 divided by -34459.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnnttzzzzlltot. What is prob of picking 3 t and 1 o?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**3 + 42*s. Let d = -822 + 906. Let i(o) = -o. What is d*i(l) + 2*r(l)?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 12*m = -13*m - 5019, -2*a + 3*m = -3346. List the prime factors of a.\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 3*h + 3. Let m be l(5). Suppose r = -2*r - 3, c + 3*r = -m. Let o = c + 57. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*h, 4*h - 22 = -z - 7. Is 252 - (2 + z\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 38*m - 91. Is t(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20274064*u - 252206937.\nAnswer: 20274064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141810 and 42630?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2018 * -3\nAnswer: -6054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -26, -4, 130, 250, -27.\nAnswer: -27, -26, -4, 5, 130, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(77) - (sqrt(77) + -1*sqrt(77))) + sqrt(77)) + sqrt(77))\/(sqrt(14)\/sqrt(2)*6))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 207809706 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 140904.079.\nAnswer: -704520.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*r - 154*r = 149*r - 1922 - 16090 for r.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 14*v**2 + 25*v - 14. Determine k(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 11. Let c be (0 + 2\/a)*15. Sort 2, c, -1 in descending order.\nAnswer: c, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a day in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*(-178)\/(-267)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, q: 7}. What is prob of sequence qh?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169731797218 - 169731798072.00000381. Let s = o + 854. What is s rounded to 7 dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -38*c**2. Let x(o) = -6*o. Calculate x(s(y)).\nAnswer: 228*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 274 + -229. What is the remainder when g is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + (16\/(-88) - (-108)\/594).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 1:58 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*t - 6, 2*n - 5*t + 14 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2085379 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((-25)\/4)\/5 - 0. Is -2\/93 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, -4, -0.1 in descending order.\nAnswer: -0.1, -0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 14*a**3 + a**2 + 1. Let l be z(2). What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 356*m**4 - 3420*m**4 + 398*m - 399*m + (-2*m**2 + 2*m**2 + 2*m**2)*(-3*m**2 + 3*m**2 - 3*m**2).\nAnswer: -3070*m**4 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -627, -633, -643, -657?\n\"Answer: -2*c**2 - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 8. Let b be v(6). Let n be 235 + -1 + b + 1. Suppose 0 = -g + 3, 0 = -5*r + g + n. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-451 - -452) + -3 + 1 + 5 + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -108*k**5 + 191916*k**4 - 381384*k**3 - 3575200*k**2 - 5678464*k - 2726400 = 0.\nAnswer: -4\/3, 6, 1775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2641*d**2 - 7769*d**2 + 2483*d**2 + 87*d + 2649*d**2.\nAnswer: 4*d**2 + 87*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10057165, 4, -4 in decreasing order.\nAnswer: 4, -4, -10057165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -35.18*-7\nAnswer: 246.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550482769 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1011111000 (base 2) to base 7\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6*15\/(-6))\/(-1 - 0). Let n be (-10)\/c*-6 - -5. Suppose n*s - 47070 = -11169. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/48*-2 - (-10)\/24. Let i be (-1*8\/12)\/(2\/(-12)). What is the fourth smallest value in 1\/7, p, -1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-10 - -2) + 3 + -7 - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/23 - -67\/46. Let x = 80.9539 + 0.0461. Let u = 81.3 - x. What is the fourth biggest value in -5, p, -0.5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25542, 51086, 76628, 102168, 127706, 153242, 178776?\n\"Answer: -a**2 + 25547*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 399*5.348\nAnswer: 2133.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g**2 + 78*g + 6. Give t(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4639607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**3 - 9*o**2 - o + 9. Let n(m) = -3*m**3 + 8*m**2 + 2*m - 8. Let r(i) = -5*n(i) - 4*x(i). Is r(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -191, -217, -259, -323?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v**5\/5 - 3312*v**4\/5 + 338997*v**3\/5 - 6753249*v**2\/5 - 6310197*v - 24455439\/5 = 0 for v.\nAnswer: -359, -3, -1, 87\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/1211 in -4\/3, -9, -8, 4\/9, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22500 * -0.5\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -20 - 68. Suppose r - 204 = -3*d, d - 1061 = -5*r - 69. Calculate the greatest common factor of r and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/21)*f\/f**(-3\/7))\/(f**2\/(f*f\/f**(-7))) assuming f is positive.\nAnswer: f**(179\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 1, l: 2, r: 2, u: 2, f: 1}. What is prob of picking 2 r and 1 j?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81248898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 + -128. Solve -c = c + 6, -4*x + j = 4*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 13. Let u = x - -11.2. What is u rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -68, -3, 1 in decreasing order.\nAnswer: 1, -3, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 - 9*j - 6. Let y be k(-3). Let p = 322\/27 - -6112\/135. Let v = p - y. Which is the biggest value? (a) -0.3 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*4\/(-16))\/(3\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 - 56. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3913089, 7826162, 11739235?\n\"Answer: 3913073*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 28.6. Let v = i + 2.40000024. Round v to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 2. Let l be a(-1). Solve -3 = 2*y + l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxkkkxkkxkkkqkkkqqk. Give prob of sequence qq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604 = 2*o + 602 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - 2.87. Let x = v - -0.98. Let i = -0.61 + x. What is the nearest to i in -0.3, 3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 1 - 1)*(-2*c**2 + 2*c - 2*c) + (-3*c + 2*c**4 + 3*c)*(0*c + 3*c + 0*c) + (6*c**3 - 2*c**3 - 3*c**3)*(c**2 - c**2 + c**2).\nAnswer: 11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83631750 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113660090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 3. Suppose p - 12 = 3*p. List the prime factors of (o\/(-10))\/(p\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38262, -76517, -114770, -153021, -191270, -229517?\n\"Answer: g**2 - 38258*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 59*j - 131. Give i(-61).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/144)\/(125\/(-400))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(-2\/27)\/k*k*k)))\/k*k*k**0)\/(k**3\/k**(4\/11)) assuming k is positive.\nAnswer: k**(-508\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*c = 17, b + 2*b = 4*c + 14. Let o(l) = -l**2 + 16*l. Let u be o(4). Put b, 0, u, 5 in ascending order.\nAnswer: b, 0, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3525 divided by -1\nAnswer: -3525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 2 + 1 - -1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5765 - 582275\/101. Let x = -474\/707 - o. What is the closest to x in -1, 2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 765203769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -637.055 to the nearest integer.\nAnswer: -637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-1 - 1) + 1) - (-5 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 34. Suppose -4*w + 15 = d - 9*w, -v*d - 4*w = 12. Let k = -2 + 1.8. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 9. Let s = -5 + x. Suppose -3*w + c - s*c = -481, -w - c = -160. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 12*q - 8 = 0. Let t(c) = -q*c - 9*c + 14*c. Let h(p) = -1 - 2*p - 2 + 3. Give h(t(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18230 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -146a?\nAnswer: -1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679.202us in seconds?\nAnswer: 0.002679202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 7*u**2 + 8*u + 12. Let s(i) = -11*i + 3. Let o be s(3). Let l be (-45)\/o + 15\/(-2). Let d be v(l). Solve -5*a + 11 - 1 = d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16129, 16138, 16157, 16192, 16249, 16334?\n\"Answer: k**3 - k**2 + 5*k + 16124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = -12. Let w be d + 11 - (-2 + 6). Find the third derivative of -w*y**2 - 2*y**2 - y**4 - 8*y**2 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669.87138 rounded to 0 dps?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2656 (b) -1\/2 (c) 2\/7 (d) 0.1358 (e) -3\/4 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + 3*p**3 - 4 + 3. Suppose 9 = -v + 5*d, 0 = -5*d + 12 - 2. Suppose -3*k + 4*a = -18, -4 = 5*k + 5*a + v. Give r(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112747255 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 - 20) + 4 - -4. Sort 2, y, 5, -846 in decreasing order.\nAnswer: 5, 2, y, -846","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 346\/9 or 39?\nAnswer: 346\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 - 23. Let m(y) = -4*y**2 + 4*y**2 + 11 + 12 - 4*y**2. Let k(b) = -3*f(b) - 4*m(b). Differentiate k(a) with respect to a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191226?\nAnswer: 2, 3, 7, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -199480, -199476, -199472, -199468, -199464?\n\"Answer: 4*c - 199484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 756 + 5277. List the prime factors of m.\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33125281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 8*h - 17 - 8*h + 27*h - 17*h**2 - 42*h. Let v(w) = 1. Let i(z) = -3*j(z) - 6*v(z). Solve i(u) = 0 for u.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20320317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 6\/(-4))*-2. Let w be (-5)\/(-6)*(21\/15 - 1). Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68824.69 litres in millilitres?\nAnswer: 68824690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0.1, -0.3, -2\/9, 10 in decreasing order.\nAnswer: 10, 0.1, -2\/9, -0.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -134633 (base 9) in base 4?\nAnswer: -110003310","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1 - v**3 + 2*v + 1 + 2*v**2 - 1. Suppose 2*t - 30 = -3*t. Suppose -t*h - 7 = -1. What is g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -350*(-6 - (-319)\/55)\/((-4)\/(-10)) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592 = -0*t + 16*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*y**2 + 10968*y\/5 - 1464\/5 = 0. Calculate y.\nAnswer: -122, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 1\/2, 97, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1124 - -4?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 37\/3. Let k be ((-9)\/2 - -2)\/(-5). Suppose w + 48 = 3*h, 5*w + 70 = 3*h + 2*h. Which is the closest to k? (a) 5 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Are -256 and -252 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3818703354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 48*a. Let n(g) = -12*g. Give 2*f(d) + 9*n(d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -229*n + 248*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/4, -1\/4, -7, 1.\nAnswer: -7, -0.5, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 2*w**2 - 3*w)*((4*w - 3*w + 0*w)*(7 - 2 - 2) - w + 1 - 1) in the form x*w + d*w**2 + p*w**3 + a and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 4*d + 0*d + (1 + 1 - 4)*(-3*d - 3 + 3) + (-3*d + 6 - 6)*(-3 + 2 - 2) to the form t + c*d and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) 1\/8 (c) -2\/9 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -860.\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/13 (c) -7\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**5\/20 - 7*g**4\/12 + g**3 - 4*g**2 + 30*g. Give s(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - (-16)\/4)\/1. Let c be (1\/j)\/((-12)\/60). Suppose -g + 22 = -2*k, c*g - 4*k = -k + 75. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81.54288 or -1\/2?\nAnswer: 81.54288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:53 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((((-960)\/108)\/(-20))\/(20\/(-18))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-4)\/6)*-6. Let v = 0 + 2. Suppose 0*f = -v*f + j. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 10935.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-9)\/(t**(-6)\/t))\/((t\/(t\/t**(2\/3)))\/(t*t**(-4)*t)))**2)**(-29) assuming t is positive.\nAnswer: t**(812\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojijjjjyoejtjjyejji. What is prob of sequence eoit?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 + -0.6. Let p = 0.7 - 1.2. What is the nearest to d in p, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5593913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:21 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 + 124*m - 128 = 0. What is m?\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from www. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800056.078 rounded to the nearest ten thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000267765819 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - 3*5\/15. Suppose -1410 = -3*d + b*d. Round d to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 20*f**2 - 4*f**2)*(-51*f**3 - 20 - 9 + 52*f**3).\nAnswer: 17*f**5 - 493*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, x: 2, j: 4}. Give prob of picking 1 x and 3 j.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 m when four letters picked without replacement from ceimmc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/6654250 and 43\/160940.\nAnswer: 173010500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -44) + 3\/1. Let m(b) = -2*b - 3. Let s be m(7). Let p = -6 - s. Calculate the highest common factor of z and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2623 + -2568. Round p to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 170273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(35) + (sqrt(385)*-5)\/sqrt(11))\/(sqrt(180) - (sqrt(180) - (sqrt(180)*2 - sqrt(180)))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n. Let i(q) be the third derivative of 1\/6*q**3 - 16*q**2 + 0*q + 0. Give -2*i(a) - s(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 472 = 5*b, -4*b - 380 = -4*q + 6*q. Sort -1\/4, -1, b in decreasing order.\nAnswer: -1\/4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j**2 + 80*j + 75. Calculate w(8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74766 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -998 - -998.167. Round r to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 155.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*a + 16. What is the third derivative of 7*y**3 + 20*y + 10*y**a - 41*y + 21*y wrt y?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 13*g**3\/6 + g**2\/2 + 51*g. Let j = -2 + 1. Calculate q(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(3000)*-2)\/sqrt(1000)*2.\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023220103210 (base 4) in base 13?\nAnswer: 41520c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i**3 + 958*i**2 - 4240*i + 3936 = 0.\nAnswer: -164, 4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37228761 by -4136529.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.09 + -17.905. Let r = i - -36. Let v = r - 0.004998. What is v rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11382\/3794*1\/((-3)\/22)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -56*s - 11. Let u(z) = 28*z + 5. Let q(d) = d**3 + 49*d**2 + 140*d - 3. Let l be q(-3). Calculate l*u(j) - 4*n(j).\nAnswer: -28*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 644226 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1021153154?\nAnswer: 1021153201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4. Let c(t) = 8*t**2 + 6*t - 25. Let j(g) = c(g) - 5*h(g). Suppose 3*a - 4*a - 5 = 0. What are the prime factors of j(a)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -1130*s**6\/3 + s**3\/3 - 5*s**2\/2 - 277*s + 6513. Find the third derivative of y(d) wrt d.\nAnswer: -135600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222410101 (base 5) to base 14.\nAnswer: -1b7b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11371998.\nAnswer: 2, 3, 11, 53, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/3 - 0). Suppose 5*w + 4 + 6 = -5*a, -a + 3*w + 18 = 0. Let y be (a + -5)\/(-1) - 5. What is the second biggest value in y, h, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13200451 is divided by 127.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 12 = -2*k, 0 = -3*k + 2438*f - 2442*f + 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -182 - 76669035445\nAnswer: -76669035627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14*a - 338. What is q(-21)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*k = 788 - 9223 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 12. Let f be y(-9). Solve -u**4 - f*u**3 - 3*u**2 - u - 4 + 4 = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: d3 (base 16) to base 5\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2629 = -2*r + 8584, -5*d + 18691 = 4*r. Let b = d + -1984. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16990.042 minus 8?\nAnswer: 16982.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.82885 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1301848 or -1301851?\nAnswer: -1301851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19194973.\nAnswer: 7, 2742139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 387 = -261. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162305552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*j**3 - 4749*j**3 - 12447*j**3.\nAnswer: -16443*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4\/7 - 69672*w**3\/7 - 1212431596*w**2\/7 + 38853846048*w\/7 - 267225618880\/7 = 0.\nAnswer: -34852, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 20*w**2 + 22*w + 22. Let s be n(-21). What is the units digit of 2 - (1\/s)\/((-1)\/61)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/1560 - 145\/(-130)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3009*s + 3011*s = 4*y + 4, -4*s + 32 = 4*y. Solve 0 = -2899*a + 2893*a - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 2*n - n. Let l = -821 - -823. Let o(i) = 2*i**2 - 14*i**2 - 34*i**l. Determine o(u(y)).\nAnswer: -184*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.071765*-50\nAnswer: 3.58825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*d = -171*d + 337*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/3 + 8*j**4\/3 - 113*j**3 - 2138*j**2\/3 - 3232*j\/3 - 480 = 0. What is j?\nAnswer: -20, -4, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 609792 + 409103 - 549587.\nAnswer: 2*p**2 - 750276","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = -4*w, 2*i + 8 = -3*w - 1. What is the closest to i in 0.4, -0.15, -4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/37))**21)**(-1\/12) assuming r is positive.\nAnswer: r**(-7\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1099*u**2 - 48*u + 8. What is the smallest common multiple of s(-1) and 2?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-756)*36*21\/(-98)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - (-7 + 1)) + 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:53 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78077 + 2029601\/26. Let w = -1724\/65 - j. What is the common denominator of w and -3\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 6*z**2 + 2*z - 52. Let c(o) = 3*o**3 - 11*o**2 + 4*o - 87. Determine -3*c(g) + 5*l(g).\nAnswer: -4*g**3 + 3*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 711\/99 - (-96)\/286?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4936, 9903, 14900, 19927, 24984?\n\"Answer: 15*z**2 + 4922*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*p - 21*p**3 - 25*p**3 + 68*p**3 + 11*p + 19*p**2 - 24*p**3 - 2 in the form x*p**3 + o*p + a*p**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13051855 and 2290.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7463270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -25. Let o = d - 25. Which is the closest to 2\/5? (a) o (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 28.97. Let z = -42 + s. Let d = z - -12.5. Sort 0.04, d, 0 in ascending order.\nAnswer: d, 0, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - 3. Let c = 59268\/7 - 8467. Sort -0.4, k, 1\/6, c.\nAnswer: -0.4, c, k, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 38504970?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -23, -25, -5, 2, 1 in increasing order.\nAnswer: -31, -25, -23, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*x + 4*a - 1, 4*x + 15 = -a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 55833 divided by 4\nAnswer: 55833\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3721*u**4\/4 - 5063*u**3\/2 - 5979*u**2 + 5126*u - 968 = 0.\nAnswer: -2, 22\/61, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:29 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/8)\/(33\/22). Sort g, -0.3, 0.2 in decreasing order.\nAnswer: 0.2, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2640 by -220.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 61*s - 5. Let w(u) = -u**2 - 31*u - 3. Let r(g) = 6*j(g) - 11*w(g). Let z be r(5). Solve 1 + z = 4*x - 3*t, 2*x - 2 = -2*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1467, -1529, -1591, -1653, -1715?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, a: 3, d: 1, l: 1}. Give prob of picking 1 a and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/401 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3 - 0. What is the third derivative of 0*f**2 - i*f**5 - 2*f**2 - f**2 wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 909 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/33 and -16\/8092873.\nAnswer: 267064809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g - 1279817 = -338*g + 4691003. What are the prime factors of g?\nAnswer: 2, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128257*i - 128149*i = 4536 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19505418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322294.\nAnswer: 2, 7, 23021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/5)*a)\/a)**41*a**(-15)\/(a*a\/a**(5\/6)) assuming a is positive.\nAnswer: a**(-977\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13459*c**3 + 3*c**2 + 62*c + 58. Let m be z(-1). Calculate the highest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-840)\/(-441))\/(-5) + 4\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.296 + -10.296. What is the third biggest value in j, 4, 4.6, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -404.59991387 - -0.60502387. Let i = z - -404. What is i rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4564.\nAnswer: -5\/4564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 193260665 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/9, 8.4, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w + 18. Let y be s(-17). Let t = 140 - y. Solve 0 = -4*d - 3*l - 27, -d + t*d - 5*l - 19 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from {m: 5, c: 1, b: 2, p: 5, l: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k**2 - 3*k + 4. Let t(h) be the third derivative of -h**6\/20 - 11*h**5\/60 - 2*h**4\/3 + 7*h**3\/2 + 6*h**2. Determine -11*q(n) + 2*t(n).\nAnswer: -n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Let m = -0.13 + -0.87. What is the closest to m in -5, 6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -6*a**2 + 1\/10*a**5 + 0*a - 1\/8*a**4 + 1\/40*a**6 - a**3 + 0. Factor w(o).\nAnswer: 3*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6833530888?\nAnswer: 2, 37, 1787, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94597\/8900 - 873\/100. Which is bigger: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(3\/(9\/(-3))). Suppose d = r*b, 2*d + 2*b - 10 = b. Suppose 5*g - 14 = 4*t + 18, -2*t + d = 0. Calculate the remainder when 15 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 divided by 1?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*t - 42*t**2 + 33*t**2 - 57*t - 1066*t**2 - 1005*t**2 wrt t.\nAnswer: -4160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 320, 295, 250, 179?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -30. Let k be ((-2)\/b)\/(2\/(-4)). Let o be 20\/(-6) - 2\/3. Sort k, o, 4 in ascending order.\nAnswer: o, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**5 + u**2 + u. Let l(c) = -c**6 + 2*c**5 + 46*c**3 + 223*c**2 + 2*c. Let g(o) = -l(o) + 2*s(o). Find the third derivative of g(i) wrt i.\nAnswer: 120*i**3 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8208, 8200, 8188, 8172, 8152, 8128, 8100?\n\"Answer: -2*a**2 - 2*a + 8212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -454.205 + 454.105. Let o = -26 - -51\/2. Which is the nearest to -1\/3? (a) g (b) o (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*t - 40*t - 20*t + 5*t**2 - 2*t**3 wrt t.\nAnswer: -12*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -37. Let u(r) be the third derivative of -2*r**2 + 0 - 1\/30*r**5 + 0*r**v + 0*r + 0*r**4. Let l(g) = 2*g. What is u(l(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7}. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -23, 1\/3, 0.1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 10 - 9 + 2*s.\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.3 + 5. What is the closest to 1 in -0.2, d, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13957 + 2?\nAnswer: -13955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 6. Let w = 27 - 21. Let h(x) = 2*x - 13. Let s(z) = w*h(z) - 13*p(z). Let r(m) = 4*m + 0 + 0. Determine -3*r(v) - 10*s(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4164 times -1.1\nAnswer: 4580.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**2 - 3*q - 8. Let k be 3*8\/(-36)*6. Let n(s) = -5*s**2 + 2*s + 4. Let z(a) = k*g(a) - 7*n(a). What is z(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646173535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 412441 + (-4 + 2 - -7). Let v = b + -1666641\/4. Let o = 4194 + v. Calculate the common denominator of o and -73\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*f**2 - 10 + 53*f - 286*f**2 - 4 + 53*f.\nAnswer: 2*f**2 + 106*f - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2895*j + 3286*j + 782 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 15 - (1 + 2 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.99928 + -12. What is g rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*s + 11, 0*s + s + 2*l + 6 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 13*q + 27. What is d(8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**2\/2 + 3*o - 8. Let b be c(9). Is (-4)\/(-6)*(-954)\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -847, -1696, -2549, -3406, -4267, -5132?\nAnswer: -6001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 0*w**2 + w**2)*(-3*w**2 + 5*w**2 - 4*w**2) + (-w + w**2 + w)*(-15 - 4 + 3)*(w**2 - 2*w**2 - 18*w**2).\nAnswer: 298*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -11\/105*d**7 + 0*d + 0*d**6 + 16*d**2 + 0*d**5 + 0 + 0*d**4 + 5\/6*d**3. What is the first derivative of o(f) wrt f?\nAnswer: -88*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 1 = -2*x. Suppose -404*a + 406*a + 86 = 4*k, -5*a + 32 = 3*k. Calculate the remainder when k is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:45 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40015501 + 1140?\nAnswer: 40021041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-12)\/b**(2\/17)*(b\/(b*b*(b*b*(b\/b**(-1\/2))\/b*b)\/b))\/(b*b**8) assuming b is positive.\nAnswer: b**(-837\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11569061 is divided by 11569021?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1614959 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2277 and -0.16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 0 - 3*i**2 + i**2 - 2. Let j(y) = -5*y + 4*y + 3*y. Calculate j(x(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.56 + 0.9. Round f to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 19*t**2 + 54*t + 90. Determine o(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -217263\/19 - -11435. Put g, 0.4, -0.3, -1.2, -1 in increasing order.\nAnswer: -1.2, -1, -0.3, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 234, 416, 562, 678, 770, 844?\n\"Answer: c**3 - 24*c**2 + 247*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*w + 56 = -85*w. Solve 4*a = -2*g + 2 - w, 2*g + 3*a = -7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, 7, -211?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 7 (c) -4 (d) 1\/21 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 12910*d - 206184. Calculate t(-16).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 + 19377*p**2 - 38745*p + 19371 = 0. What is p?\nAnswer: 1, 6457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/794167 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - -4.92. What is the closest to -0.05 in 1\/2, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.45 * -2.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 24\/(-6))\/(-1 + 2). Factor -4\/3*u + t - 2\/3*u**2.\nAnswer: -2*u*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*r + 3815, 21*w - 2*r - 757 = 20*w. What are the prime factors of w?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 191\/9. Sort -2\/13, -2\/3, j in decreasing order.\nAnswer: j, -2\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*10\/(-150)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -55 + 60 + (38 - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - -178. Let z be (-1)\/(-3)*30 - -100. Let k = g - z. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57321 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 22*s + 8. Let h be c(4). What is the remainder when 979 is divided by (h - (-7 - -2)) + -1*3?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = 21. Let q = 2 - -1. Is 0\/(q + 0) - w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8*10\/50.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11861*f - 11758*f + 721 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 29*b**2 + 269*b - 339. Give j(-11).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/5 - 166*w\/5 - 167\/5.\nAnswer: (w - 167)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1132045717 divided by -253\nAnswer: 4474489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -267, 3\/4, 7223?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-18) - (-6 + 4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3)\/(205\/(-492))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -4)**2*-4.\nAnswer: -712 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p - 88 = 33*p. Suppose 2*a - p*a = 13*a. Which is smaller: 3\/244 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - i - 5. Let h be d(5). Suppose u = a, -3*a + 2*a = 2*u + h. Sort a, -2, -3 in descending order.\nAnswer: -2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 4) to base 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7035284 (base 10) to base 6.\nAnswer: -410442432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*c = 20, -12*d + 16*d + 13 = -5*c. Is 15501\/(-2)*(d\/(-21) + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o**2 + 2*o - 7. Suppose 2*w = 5*w - 4*r - 17, 26 = 3*w + 5*r. What is s(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmkmmk. What is prob of sequence mkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*b - 3*c, -5*b - 6 = 4*c + 5. Suppose 3*w - 2*p = 16, -b = -7*w + 4*w - p. Let f(g) = -g**2 - 3 - 3*g**2 + g**3 + 2*g + g. Determine f(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-55)\/15 + -51 + 53. What is the second biggest value in w, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {d: 5, a: 2, p: 4, m: 2, s: 4}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1626196 milligrams in grams?\nAnswer: 0.0001626196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-17.6.\nAnswer: -70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.98 - 35. Let u = 0.28 - 0.3. Let n = u - o. Are -1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.12 and 1716203.\nAnswer: 1716204.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 - 124*o + 276. Let j be s(29). Are j and 20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/11 in 4057, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471314 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10604 + -12.025.\nAnswer: 10591.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-4))\/7)\/((-12)\/(-14))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqay. Give prob of sequence yaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -623 - -627.11. Let f = p + -0.11. What is the third smallest value in 1\/2, f, 2\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-56) + 930\/(-120) - (1 + -6) - -73.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 10 - 8)*(-2*r + 2*r - r).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 240528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29782?\nAnswer: 2, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(3\/6) + 4. Let c(t) = 2*t**3 - 8*t**2 + 8*t - 5. Let j be c(w). What is the highest common divisor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - q - 5 = 0, -3*o - 12*q + 493 = 598 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 4. Let q be v(2). Suppose 6*s - s + 160 = q. Let x = s - -45. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -143*o**4\/24 - 7*o**3\/6 + 3*o**2. Let h(y) = -y**3 - 12*y**2 + 13*y - 4. Let x be h(-13). Is v(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**4\/4 - 5*t**3\/3 + 5*t**2\/2 + 3*t + 25. Let x(d) = 2*d + 2. What is the lowest common multiple of r(-6) and x(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 363*k**2 + 68.\nAnswer: 363*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 8 = 6*z + 4*c, 0 = 4*z + 2*c - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 89, -2\/5, 4.7, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h - 108 = -2*t, -h - 244 = -5*t. Suppose -y = -3*a + 6*a - 707, -231 = -a - y. What is the remainder when a is divided by t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 1\/30 (c) 2\/21 (d) -0.1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (22 - (-13 - (3 - (25 + -1 - 10)))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -30878, 2\/5 in descending order.\nAnswer: 5, 2\/5, -30878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from foofoofofww?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, y: 1, o: 3, i: 11, r: 1}. What is prob of picking 1 r and 3 o?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 261650383*m - 216186668 wrt m.\nAnswer: 261650383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + u + 22135. Suppose -5*n = -u - 203. Suppose 4*l - 775 = -5*q, -3*l + 4*q + n - 337 = 0. List the prime factors of l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336096521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2. Let k(f) be the second derivative of f**4\/4 + 5*f**3\/3 - 56*f. Give t(k(x)).\nAnswer: -36*x**4 - 240*x**3 - 400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -6.\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l - 1 - 63493*l**2 + 15*l + 63625*l**2 in the form h*l + i*l**2 + j and give i.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slv. Give prob of picking 1 s and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2 - 39*y + 81. Give t(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 85?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:23 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m + 3577000 = 16*m. What is m rounded to the nearest 10000?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72*l**4*t**2 + 3*l*t**3 + 566*l + 116*t**3 - 1319 wrt l?\nAnswer: -288*l**3*t**2 + 3*t**3 + 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -19.12. Which is the second smallest value? (a) 5 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -7, 2 in decreasing order.\nAnswer: 15, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 greater than or equal to 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 78731, 157419, 236115, 314825, 393555, 472311, 551099?\n\"Answer: r**3 - 2*r**2 + 78687*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 1118.\nAnswer: 16770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400253.6 centuries to decades.\nAnswer: 4002536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-10)*(-4)\/(-3) - 0. Suppose -d = 2*o - 4*t + 12, -4*o + 32 = 4*t. Which is the third biggest value? (a) -5 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*b + 15, 4*b = 3994*h - 3990*h - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 1. Let c be l(4). Suppose 0 = -c*j + 33 + 222. Suppose 3*b = j - 34. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-2\/5)*t*t**(-10)\/t)**43 assuming t is positive.\nAnswer: t**(-1634\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12 - -14)\/(2\/63*-3). Is (-7028)\/k - 2\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 5.7. Let u be ((-1)\/(-26))\/(3\/12). What is the second biggest value in u, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*t - 6 = 0, d - 5 = 5*t + 5. Suppose 2*c - 6 = 0, -4*r - 3 = -c + 4. Let s = -1 - 3. Put r, d, s in increasing order.\nAnswer: s, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 269\/20379 or -1?\nAnswer: 269\/20379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4302, 8595, 12880, 17157, 21426?\nAnswer: 25687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*y + 1 = -2, 4*y = -3*p + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - (1*sqrt(68) + sqrt(68))\/sqrt(2))\/((2*sqrt(14))\/sqrt(7)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -44 - (-30 + 26 + 40 - 24)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 10*k + 14. Let f be x(11). Suppose -w - 134 = 3*z, -178 = 4*z - 2*w + f*w. Find the common denominator of (z\/14)\/(5\/(-10)) and 92\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**8\/168 + y**7\/30 - y**6\/15 + y**5\/20 + 25*y**2\/2 + 6*y. Let a(j) be the first derivative of h(j). Factor a(o).\nAnswer: -o**2*(o - 1)**2*(2*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5879, -5858, -5817, -5756?\nAnswer: -5675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 + 3 = 0. Suppose 0 = -4*q + y. Suppose l + q = -0, 4*w - 25210 = 5*l. What is w rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 117*b + 77. Let o(f) = f - 12. Determine -6*o(x) - v(x).\nAnswer: -123*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582 times 0.3?\nAnswer: 1074.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, -2658.\nAnswer: -2658, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234859 = 160*p - 234379 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*m = 185*m + 108 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.91 + -16.808. Let o = -0.042 + u. Let n = -0.06 + o. Which is the closest to 1\/4? (a) -2 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31411 - -167.\nAnswer: -31244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20763 (b) 2 (c) -0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 735.95 + -731. Let a = x - 4.85. Is -106 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 90 = -3*x + 5*x, 2*x - 4*f - 120 = 0. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58253263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*t - 571*t = -4285773. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -721 at least -314470\/437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 932458 and 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 12. Let n be h(-8). Let l = -17 + 28. What is the remainder when 11 is divided by l - n - (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rprrrrprrrrrprrdurd. Give prob of picking 1 u, 1 r, and 1 p.\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42439 divided by -37.\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 7998728.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-45))\/(-1*4\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -12. Suppose 2 = -4*m - 2*q, -2*m - 3*q = -y*q + 6. Let u be (0\/(-1)*m)\/(-1). Solve 2 = n - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 18360 = -2*a. Is 68 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*p = -2*p + 188, 0 = -c + 3*p + 33. Calculate the smallest common multiple of c and 21.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/130764 and 7\/187.\nAnswer: 1438404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 - 49314979.\nAnswer: -49315006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3396 - -8267. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 10) in base 8?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 4. Let r be p(0). Let t be -3 + 1 + (1 - r\/1). Suppose 2*n + 87 = j, 5*j - 5*n = -t*n + 451. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 292 = 0. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347 * -0.014\nAnswer: 4.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*h - 49 - 1046 = -13723 - 7172 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i - m + 13, 5*i + 2*m + 19 = 0. Let k be (-12)\/4 + (4 - -1). Suppose -z + 4*c + 2 = -15, k*c + 8 = 0. Sort i, -0.4, z in decreasing order.\nAnswer: z, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(540)\/(sqrt(18)\/sqrt(2)) + sqrt(60))\/(sqrt(12) + (-2*sqrt(72))\/sqrt(6)))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 - s - 6. Let d be f(4). Let g = 0 - -2. Let j(x) = -4*x**2 - 5*x + 0*x**2 + g + 1 + d*x**2. What is j(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -82, -18, -6\/13, 2?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43424 and 16?\nAnswer: 43424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 45 = -2*x + 38, 3*t - 5*x + 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (674808\/(-3441))\/(6 + (6 - 10)) + 14\/259\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46591698?\nAnswer: 2, 3, 23, 31, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/(6\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31524 and 3367956?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330*j = -3463146 - 23825214. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -124566?\nAnswer: -124566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swsokkkoknwssxkwko. What is prob of sequence kson?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2936934?\nAnswer: 2, 3, 7, 11, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544005*x + 543785*x - 13860 = 0 for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 303, 747, 1369, 2169, 3147?\n\"Answer: 89*j**2 - j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 35. Let w be m(-13). Is 7 a factor of -3*245\/(-30)*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 + 1 - 1 + 2 + (0 - 4 + 5)*(0 - 1 + 2) + 4 - 2 + 0)*(4*s + 2*s**4 - 4*s).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2226, -8039, -17466, -30507, -47162?\nAnswer: -67431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -625*r**4\/3 - 4225*r**3\/3 + 6597*r**2 - 1521*r + 90 = 0.\nAnswer: -10, 3\/25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*y + 101*y + 42*y.\nAnswer: 469*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -788*z**4 + 630*z**2.\nAnswer: -18912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 4*c. Let b = -27 - -46. Let o = b + -22. Give r(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 14 = 2*y + 4*p, 21 = 3*y + 2*p. Suppose -3*c + y = -r, c - 2*r - 13 = -7*r. Suppose -5*w - 2*l + 24 = 0, w - l = -1 + 10. Solve c = -3*d + w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56df9e3 + -3?\nAnswer: 56df9e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25926 is divided by 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**2 + 8*i - 8. Let f(g) = -7*g**2 - 7*g + 9. Let z(b) = -4*f(b) - 3*v(b). Factor z(s).\nAnswer: (s - 2)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/74 and -95\/16.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0649 + 0.1351. What is the third biggest value in 0.5, -2, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29022226.33 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13028 >= -171\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10667\/41460 + 18\/691. Find the common denominator of j and -149\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20945 (base 12) to base 14\nAnswer: 11869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*f = 862*f - 226*f + 31652 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + d**3 - 3 + 8*d**2 + 3. List the prime factors of m(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 2 + 27*k**4 - 15*k**4 + 4*k**3 - 14*k**4 to the form q*k**3 + v*k**4 + r*k + m + u*k**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {x: 3, r: 5, w: 1, c: 4, d: 5}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21 + (3 + -3 - 3). Let p be (1\/(-3))\/((-1)\/g). Is 4 a factor of 20\/p*24\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 7. Let t be (a + -1)*(-8)\/(-6). Is (-62)\/t*(-2 + 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 4, m: 3}. Give prob of sequence qq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-5)\/(-25) - 325. Is 1\/(-2 - y\/160) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-10 - -2)\/70536)?\nAnswer: 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccyycccycccycc. What is prob of picking 2 y and 2 c?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s = -53 + 251 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 4*j - 1. Let l be i(3). Suppose 0*r + l = -r. Suppose -g = -4*o - 21, 5*g - 17 = 8. Sort 5, o, r in ascending order.\nAnswer: r, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -87?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s + 0*s)*(-16 + 28 - 2)*(0 + 0 - 4)*(1 + 3 - 5).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.515885 weeks in seconds?\nAnswer: 5150407.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xirx when four letters picked without replacement from {x: 16, r: 1, i: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002104436449 to seven dps.\nAnswer: 0.0021044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l + 0*l**2 - 6\/5*l**5 - 14\/3*l**3 + 0*l**4 + 4. What is the third derivative of s(x) wrt x?\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 3*z**2 - z - 2. Suppose 3*h - 5*i = -19, 2*h - 4 = 5*h - 2*i. Give n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**5 + b**4 + b**3 + b**2 - b - 1. Let z(n) = 6*n**5 + 2*n**4 + 2*n**3 + 6*n**2 - 4*n - 4. Let c(d) = 4*q(d) - z(d). Determine a so that c(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 15*l = 15. Suppose 2*q + 2*a - 131 = a, l*q - 332 = -4*a. Calculate the remainder when q is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -405114.514 to the nearest one thousand.\nAnswer: -405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 9*u + 33 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3780\/792 - 126\/28.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:59 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1528 - -1801. Calculate the lowest common multiple of q and 63.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:24 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 4095*l + 6. Determine d(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 11. Let m(x) = x**2 + x + 10. Let k(h) = 5*c(h) - 6*m(h). Let w be (-5)\/1*(-2)\/(-2 + 0). Calculate k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779894881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 8:23 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 15*x - 10*x - 15, -4*j - 2*x = -6. Is j < 1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 11) in base 15?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2848*v + 332. What are the prime factors of l(-2)?\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -23 (b) -0.296 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 69 = 6*i - 3*h, -2*h = -i - 35. Let d = -12579 - -88285\/7. Let g = i + d. Put g, 0.1, 1 in descending order.\nAnswer: 1, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262 + 261.9659. Let c = 0.0241 + y. Put -3, 5, c in increasing order.\nAnswer: -3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9}. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696325099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 2. Let b be i(-16). What is the units digit of (9\/b)\/(2\/388)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 12*g)*(-g - g**3 + g)*(2 - 2 + 1).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1 + 10*b - 4 - b. Let g = -6 + -1. Let l(v) = 4*v - 2. What is g*l(f) + 3*q(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4926186.\nAnswer: 2, 3, 23, 73, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5208 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, 2, 0.376 in decreasing order.\nAnswer: 2, 0.376, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:06 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*i = 48, 0*i + 2*i + 16 = 2*s. Let d be ((-5)\/15)\/(14\/s). Which is greater: -0.2 or d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z - 4*q = 28, 4*q - 12 = -5*z. Solve z - 6 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*i. Suppose 0 = h + 3*l - 18, 2*h + 2*h - l - 137 = i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 24. Suppose -5*g + 77 = 3*h, 59 + 58 = p*h - 3*g. Calculate the remainder when 64 is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13263 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/73377 and 55\/2139.\nAnswer: 1687671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182294 or 177873?\nAnswer: 177873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffdo when four letters picked without replacement from oppadakpaf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-350)\/1100*12\/21. Which is the nearest to -6? (a) s (b) -0.4 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**2 + 0 + 1\/60*j**5 - 1\/6*j**3 + 0*j**4 - 1\/40*j**6 + 0*j. What is the units digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 3*m - 5. Let f be r(2). Suppose -f*h = -l + 4, -l - 3*h - h = -22. Calculate the least common multiple of (-1 - (-1 - 2)) + l and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 24777311.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r**2 + 13*r**2 - 8*r**2 + 2*r**4 + 4*r to the form w + y*r**3 + i*r + n*r**2 + q*r**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 12 = -2*b, 16 = 1027*q - 1029*q + 4*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/7)*y*y**5*y)**(-22\/7) assuming y is positive.\nAnswer: y**(-1100\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10893, 10896, 10899?\nAnswer: 10902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 686084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/32*2 + (-90)\/(-24). Let j = -32.3 + 30. Which is the nearest to 0? (a) j (b) t (c) -2\/15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + 3*(2 + sqrt(50)\/(sqrt(30)\/sqrt(3)) + sqrt(5) - (-2*(sqrt(20)\/sqrt(4))**2 + 3*sqrt(605))).\nAnswer: -93*sqrt(5) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 8. Suppose 2*l + 38 = -0*l + 2*f, 3*f = -2*l - 43. Let v be j(l). Let x(d) = -d - 9. List the prime factors of x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 3}. Give prob of sequence hy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Let n(r) be the first derivative of -3 + 2\/5*r**5 + 0*r - 4\/21*r**3 + 0*r**2 + 5\/14*r**u. Determine q, given that n(q) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 - 7*d - 6. Let z(n) be the second derivative of n**4\/2 - n**3 - 5*n**2\/2 + 118*n. Determine 5*y(w) - 6*z(w).\nAnswer: -6*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 3*r**5\/100 - 63*r**4\/20 - 32*r**3\/5 - 2*r + 1704. Factor m(n).\nAnswer: 3*n*(n - 64)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 5*y**2 + 4)*(3 + 0 - 5)*(5*y**2 + 3*y - 3*y).\nAnswer: 50*y**4 - 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-7)\/(-2)*(-72)\/126)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus -111339.881367?\nAnswer: -111339.931367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71590?\nAnswer: 2, 5, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.93002 and 0.52.\nAnswer: 16.45002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -24*r - 4. Let n be y(8). What is the common denominator of (18\/16)\/3*(-1128)\/(-54) and 4\/14 + (-189)\/n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -424878 or -424869?\nAnswer: -424869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35 from -10066245.\nAnswer: -10066210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -68. Suppose 0*m - k = -m. Suppose 4*r - m = -0*r + 5*o, -3*o - 15 = 0. What is the lowest common multiple of 1 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 9*r - 5. Let i be v(7). Let c = i + 56. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (-8)\/24 - (-182)\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 3*j**5\/10 + 13*j**3\/6 - 22*j + 11. Let q(o) be the first derivative of r(o). What is the second derivative of q(l) wrt l?\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -385\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-15)*y**(11\/5) assuming y is positive.\nAnswer: y**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 5*l**2 + 9*l - 8. Suppose 0 = k - 4*k + 3*w + 48, 0 = 3*k - w - 52. Let n be ((-4)\/3)\/((-4)\/k). Is 10 a factor of y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**(6\/13)*z)*z)\/(z*z**(3\/7)*z))\/(z\/z**(-1\/9)*z\/z**(-1)) assuming z is positive.\nAnswer: z**(-3340\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1063315 by -19333.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 - -2) - -5 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-1300))\/(1\/(-5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.6 times 0.485?\nAnswer: -52.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 2. Let n = -6203.3 - -6203. What is the third biggest value in k, 0.4, -2\/15, n?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k**3 + 19*k**2 + 5*k - 5. Let w(s) = 7*s**3 - 13*s**2 - 3*s + 3. Let h(c) = 5*b(c) + 7*w(c). Let n = 9 - 5. What is the units digit of h(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9264372 to the power of 1\/2, to the nearest integer?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -7. Suppose 3*b - 2 = r*b. Calculate the greatest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v + 11. Let l = 88 - 85. Let z be f(l). Solve 21*r + 12 = z*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - 8.9. Let o = 11 + q. Suppose -10 = h + 4*h. What is the closest to -1 in 5, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/30)\/((-345)\/1150).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 45*d**2 + 87*d + 40. Let q be y(-43). Which is the third biggest value? (a) 0 (b) 66 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 969218\/(-20)) + (1379\/(-70))\/(-197) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14.59 less than or equal to 5\/104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.949 + 49. Let j = -11.251 + c. What is j rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2952)\/(-4059) - (-131)\/(-165)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 3)\/(-2)*30. Let d = 38 + a. Let b = 41\/2 + d. Sort -9, b, 0.5 in increasing order.\nAnswer: -9, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 60. Let r be n(6). Solve -4*v - r = -10*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 11\/2*j**2 - 31 + 1\/4*j**4 + 0*j - 2\/3*j**3 - 2\/5*j**5. What is the third derivative of u(v) wrt v?\nAnswer: -48*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 388 - 250 + 3*w + 57 - 146 as s + p*w and give s.\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.051, -0.8, -3, 5, 1\/32, 3 in descending order.\nAnswer: 5, 3, 0.051, 1\/32, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = -4*q, 2*l + 5*q + 1 = 5. Let c be l\/(-2)*(77 - -1). Calculate the greatest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 45, -10, 580 in ascending order.\nAnswer: -10, -5, 45, 580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/8)*(w\/w**(-6)*w)\/w)\/(w*w**(-22)*w\/(w*w**(-9)*w)))**(-8\/11) assuming w is positive.\nAnswer: w**(-159\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 103*d**2 - 270*d - 17209. Calculate u(-102).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/80 + 11*z**4\/12 + 63*z**3\/8 + 18*z**2 - 832*z. Factor o(q).\nAnswer: -(q - 48)*(q + 1)*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3*(-3)\/(-27)) - -1102. Calculate the greatest common factor of l and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2692 + -2669. What is the remainder when 1340 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j. Let b be n(-4). Suppose -b = -4*l - 0*l. What is the remainder when 25 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64415 = -14*m + 19*m + 2*r, 4*m = 3*r + 51509. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.461 - 0.191. Let d = -0.42 + a. What is d rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -76390 - 806505. List the prime factors of o.\nAnswer: 5, 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53437?\nAnswer: 53437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 17672.\nAnswer: 53016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 728899 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 - 17*f**2 - 8*f + 712. Let l(h) = 3*h**3 - 14*h**2 - 7*h + 711. Let x(c) = 6*l(c) - 5*s(c). Suppose 0 = 2*p + 2*p. Is x(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 7*q**2 + 84*q + 613. Calculate i(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1121\/2 - 561. What is the closest to 0.1 in -2\/11, b, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3 - 5\/3*k - 1\/3*k**2.\nAnswer: -(k - 2)*(k + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2183598 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 11*r**2 + 36*r - 8. Let j be i(-3). Let g be (0 + -1)*13*-1. Let s = g - 8. Solve s*o + j = 5*z + 25, o - 3*z = 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 1. Let v(y) = -8. Determine -8*h(r) - v(r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 310, 1270, 2870, 5110, 7990, 11510, 15670?\n\"Answer: 320*h**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6635 + -6629. Solve -w*p = -8*p - t - 7, 3*t = -15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108748764 is divided by 11434.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**2 - 6*b + 9. Let v be a(4). Suppose 2*q**5 + 2*q**3 - 2*q**5 - v*q**5 - 4*q**4 - 4*q**3 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/2 - 3. Let v = 0.1807 - 378.4807. Let q = 379 + v. Which is the second smallest value? (a) q (b) r (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1631*x + 105. Let q(p) = 1060965*p - 68292. Give 3252*h(c) + 5*q(c).\nAnswer: 813*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 9*u - 83 = 99. Solve -29*n = -36*n - u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11016686.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -66 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10799 (base 10) in base 3?\nAnswer: -112210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12057*h + 379820 - 815512 = 914692 for h.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 16420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x - 290 = -224 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 98\/(-21)*(-12)\/14*1. Suppose -129 = -x*v - 105. Suppose -v*b + 9 + 15 = 0. Solve 13 - 4 = -t + 3*f, 4*t - b*f = -20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -438 - -628. Let x = d + -121. Find the third derivative of -69*j**3 - 2*j**5 - 11*j**2 + x*j**3 wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -49. Suppose -t = -4*g - 2*k + 18, -42 = -3*g + k. Suppose 4*d = 3*c - 20, 2 = -3*d - g. Solve c*p + p = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 720 + -719.593. Let z = 0.161 - m. Let j = 0.046 + z. Which is the nearest to j? (a) -2 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57.95255ug?\nAnswer: 0.00000005795255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101 (base 6) in base 11?\nAnswer: -397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2854272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 + 5 + (-38 - -50) + -7?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y + 31 + 0*y**3 + y**2 - 5\/6*y**4. Let g(x) be the first derivative of -x**2\/2 + 6. What is h(g(r))?\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-4\/9))\/t)\/(((((t**(-13)*t)\/t)\/t)\/t)\/t)*(t**(1\/8)*t)\/t*t\/t**17 assuming t is positive.\nAnswer: t**(113\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 242 - 1312 = 0. Let i be t\/(-21)*(2 - -1). Let x = i + -52. Calculate the remainder when x is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 13. Suppose -w*o + 15 = -0*o. Let n be (4 + -6)\/6*(-16 + 1). Solve 2*k + o*x = 15, -n*k = -k + 2*x - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*-0.13\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1121\/4 + 827\/3. Let i = x + 13\/3. Which is smaller: -0.01 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 107*z + 411. Let j be m(4). Put -3, j, 12, 2 in descending order.\nAnswer: 12, 2, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + t = -253, -2*v + 494 = 3*t + t. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 20. Let v(z) = 2*z - 20. Let g(s) = 6*a(s) + 5*v(s). Let n be g(11). Let k be -2*1 - (n + 0 + -5). Solve 2*u = u + 1, 5*u = -k*r - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 12:19 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -591226*u**4 - 12*u**2 - 24834.\nAnswer: -14189424*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/2, 1.5, 2\/11 in descending order.\nAnswer: 4, 1.5, 2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 6711*l**2 - 3000*l**2 - 4*l.\nAnswer: -9711*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -85*v - 16. Let g be w(-1). Factor -g*p**4 - 36*p**3 + 25*p**4 + 24*p**4 + 162*p**2 + 22*p**4.\nAnswer: 2*p**2*(p - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 1:25 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -1. What is the highest common divisor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94955115?\nAnswer: 3, 5, 17, 73, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19*135.4\nAnswer: -2572.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**10\/q)\/q))**(1\/17))**3 assuming q is positive.\nAnswer: q**(-21\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {p: 1, c: 6, e: 1, x: 2, i: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Suppose -3*b = -u*d - 28, 3*b - 3*d = -0*b + 24. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261992, 261986, 261980, 261974, 261968, 261962?\nAnswer: 261956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w**3 + 7*w + 7. Let m(u) = 6*u + 35. Let g be m(-6). Let t be 42\/(-56)*(-3 + g). Let n(z) = 4*z**3 - 4*z - 4. Determine t*p(r) + 5*n(r).\nAnswer: -r**3 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 247*b**5 + 84*b**4 + 2*b**3 + 2654014*b**2 - 2 wrt b?\nAnswer: 14820*b**2 + 2016*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 4*j = -44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4073080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - q = -8, -156*v + 2*q = -158*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9)*16*6\/(-48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 212 + -211.6. Which is the nearest to -0.1? (a) t (b) 2\/17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5363919.07 to the nearest 10000.\nAnswer: 5360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.08, 67 in ascending order.\nAnswer: -4, 0.08, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545609175225 + 205*h**3 + 545609175225.\nAnswer: 205*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 3735?\nAnswer: -3738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*c = -52, -3*n - 2*c - 3*c = -31. Suppose -5*r - 41 = -d + 5*d, 3*r - 4*d = 1. Sort 2, -2, r, n in ascending order.\nAnswer: r, -2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + 0*u)*(4 - 3 + 1)*(-4*u**3 + 10*u**3 - 3*u**3).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - t + 6 = 0, -18 = -5*q - 13*t + 11*t. Suppose -1218 + 1214 = -q*c. Solve c + 2 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 53\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12121356 divided by 13\nAnswer: -932412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.595590301 less than 1.5?\nAnswer: 3.095590301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 20 = 6*q. Let b = 7 + q. Suppose -b*t = -8*t + 28. Is t bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*p + 308*p = 126*p - 92*p - 50881 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqxqvf. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 101 = 3*u - 1146, -5*u = -i - 1720. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8372900 and 16745800.\nAnswer: 16745800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*z**2 + 1315 + 201*z**2 - 1315 - z**3 - 100*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402888 is divided by 766.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3 + 1\/3*o**2 + 0*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242 + 237 - (-98)\/21) + (-83)\/3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 17*c**2 - 14*c - 11. Suppose -12*f + 31*f - 304 = 0. Let a(m) = -82*m - 1. What is the remainder when a(-1) is divided by g(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*(c*c\/c**2)\/c))\/c)**(1\/11) assuming c is positive.\nAnswer: c**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*z**2 + 162*z**2 - 242 + 229 to the form y*z + u*z**2 + s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - 38*x**2 + 41*x - 100. Let n(l) = -2*l**3 + 25*l**2 - 27*l + 67. Let c(r) = -5*g(r) - 7*n(r). Let s be c(14). Solve -12*h - s*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4 - 29485050*s**3 + 57958173081000*s**2 - 37976513311903500000*s + 1139243237797424400000 = 0.\nAnswer: 30, 1965660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:28 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**2 - q + 5. Let w(t) be the second derivative of 5*t**4\/4 - t**3\/3 + 9*t**2\/2 - 2*t - 1. Give -11*n(r) + 6*w(r).\nAnswer: 2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-7 + -1 - (23 + -8 - 20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 68. Let h(x) = -2*x - 16. Let z be h(w). Suppose 147*a - 4 = 143*a. Put a, 1\/7, z, -3 in descending order.\nAnswer: a, 1\/7, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19719176 is divided by 530?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 2*n + 12, 8*n + 3*a = 5*n + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 1. What is y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1353 - -1351. Let t(a) = 1. Let m(n) = -6*n**3 + 2*n + 2. Give l*t(d) + m(d).\nAnswer: -6*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 5*i - 3. Let d be t(-6). Solve d*z = -q - q + 14, -3*q - 4*z = -19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1 + 5 + -3 + 1. Suppose 732 = d + 6*s - p*s, 2868 = 4*d - 4*s. Suppose -264 = 4*b - d. Calculate the remainder when b is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 33 - 67 + y**3 + 11*y**2 + 35. Let o be g(-10). Which is smaller: 82 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 18 = -4*b - 6, -4*r + 2*b = -26. Let g be -1 + 2 - r\/4. Solve -1\/2*t - 1\/2*t**2 + g = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 3, a: 6, e: 1, s: 2}. What is prob of sequence ovos?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 15. Let l = 51 + 123. Let y = l - 169. Solve 9*s + 5*x - 15 = 4*s, y*s = -4*x + b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-252))\/((-8)\/32)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 20, -3*v - 4*k = -0*k - 25. Calculate the lowest common multiple of v and (-1 + 3)*35\/10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/15 - -1\/5. Is t not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 24. Let x(t) = -10*t**2 - 13. Let u(d) = 0 - 4*d**2 + d**2 - 4. Give z*u(j) + 2*x(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12404\/19 + -653. Let v be (0 - 0)\/(-1*2). Is v less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q = 190 - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Let x = v - 5. Which is the third biggest value? (a) 0.1 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5743.22572 + 5741.325720232. Let y = -1.9 - k. Round y to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.299995 days?\nAnswer: 630719568000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 34 - 69 - 2*q + 40 - 5*q**2 + 2*q**3. Let m(r) = r**3 - 3*r**2 - r + 3. Give -3*k(a) + 5*m(a).\nAnswer: -a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2503 or 2500?\nAnswer: 2503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/2)\/(5*2\/(-35)). Let a be (-1 + (-10)\/x)\/(1\/1). What is the closest to -1\/3 in -13, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1976\/34*-2 + 5004\/21267.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/3 + 4\/(-12). Find t, given that 0 - 22\/13*t**2 + 10\/13*t**w + 42\/13*t**3 - 34\/13*t**4 + 4\/13*t = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12914.\nAnswer: 2, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -2092212, 0 in ascending order.\nAnswer: -2092212, 0, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + 5*h**2 + 2*h + 66. Let w(y) = -y**3 + 2*y + 2. Determine w(k) - x(k).\nAnswer: k**3 - 5*k**2 - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 5:27 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/87978 and -49\/110.\nAnswer: 439890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3572 = 3*m - 52*j + 5*j, -3*m - 14*j + 6*j + 11*j = -228 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-3\/5))*(o\/(o*o\/(o\/((o**(-6\/11)\/o)\/o)*o)*o)*o)\/o)\/(((o*o**(-12))\/o)\/(o**(-6\/7)\/o)))**(-12) assuming o is positive.\nAnswer: o**(-61392\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/8 + -4)\/((-10)\/(-12)). Let r be 3 + -3 - ((-8)\/5 + 2). Which is the closest to 1? (a) j (b) 6\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621936, 621932, 621928, 621924, 621920?\nAnswer: 621916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.452 - -0.048. Let f = j + -4. Put -0.2, f, 2\/5, -6 in decreasing order.\nAnswer: f, 2\/5, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**10\/50400 + x**9\/20160 - x**8\/3360 - 4*x**5\/5 + 47*x**2. Let y(v) be the third derivative of g(v). Factor y(a).\nAnswer: 3*a**2*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49.4 + 49. Let y = 20.69 - 20.99. What is the closest to 1\/3 in -4, y, 4, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 - -283\/4. Let d = 193\/6 - 32. Let g = 34.21 + -33.71. What is the nearest to 2 in d, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -4\/1111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -18)\/((-26)\/(-1196)*-23)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*k = 15 + 34, -3*w + 3*k = -33. What is the remainder when 20 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -21. Let y = 42 + d. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(189\/(-4))\/9*-8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 767*f + 351. What is j(0)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 6*d + 2. Let o be s(5). Which is the biggest value? (a) 0.4 (b) 4\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1372003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*x + 236405*d + 408357*x wrt d?\nAnswer: x + 236405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154755*t + 154755*t + 687*t**3.\nAnswer: 687*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0279 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 5392031*u**3 - 2*u**2 + 369214*u**3.\nAnswer: -5022817*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - j - 4)*(-3*j + 3*j + j)*(50*j - 50*j - 7*j**2).\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410219945 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 2:03 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 30*v + 33 = 0. Let a(i) = -12*i**2 + 3 + 5 - i**3 - 5*i - 6*i. Calculate the remainder when a(v) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - (-2)\/(-7). Suppose a = -3*v + 9 - 0. Solve -q + 5*i + 23 = 0, -3*i - 5 = -v*q - 4*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t. Let r(u) = -4*u + 3. Let l(s) = -5*s + 4. Let j(w) = 3*l(w) - 4*r(w). Calculate i(j(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*c = 15, 4*c = -5*z + 9*c - 15. Solve 5*q + 21 = -2*v, z = v - 5*q + 3*q - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 217900 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 - 11 + 50 + 153*k to the form o + z*k and give z.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1203 = -4*r + 3*g, 2*r + 1198 = -2*r + 2*g. Is r greater than -892\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -337 - -5057\/15. Let y be 85\/(-204) + ((-5)\/3)\/5. Sort y, n, 7 in descending order.\nAnswer: 7, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 + 4 + (7 - (-6 + 18)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*l**3 + 5674 - 11412 + 5736.\nAnswer: -49*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -11*t**6\/300 - 166*t**5\/75 - 169*t**4\/4 - 30*t**3 - 14*t**2. Find v such that m(v) = 0.\nAnswer: -15, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = 43. Let m be h\/(-33) - 2\/11. Which is the nearest to -1\/3? (a) -1 (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 10 + 1 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2641 - 1767. Suppose 13*o = -10*o + q. Calculate the highest common divisor of 133 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (184\/6 + 1)*3. Suppose 3*i + 3*b - 231 = 0, 0*i + x = i - 5*b. Calculate the greatest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/15, -2\/9, -113?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -4, 82?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -630.56 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -5*p**9\/504 + 7*p**5\/120 + 4*p**3 + 27. Let h(c) be the third derivative of d(c). Find the second derivative of h(b) wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88121?\nAnswer: 11, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - -2780783?\nAnswer: 2780814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-61)*((-90)\/4)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/6)\/(-2) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -2 + 4 + 151 + -180?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5385*f*i**3 - 21*f*i + 2*f - 3142*i**4 + i**3 + 1315593*i wrt i.\nAnswer: 32310*f*i - 37704*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 5*k + 8*k + (-1 + 1 + 2*k)*(-5 + 2 + 6))*(5*k + 1 - 12*k + k) to the form j + p*k + a*k**2 and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3219 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -39200 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3073799 + 1?\nAnswer: -3073798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3 - 24 - 4*o - 1. Let y be s(-7). Are 2\/67 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -3\/2, -31\/4, -1.6 in descending order.\nAnswer: 5, -3\/2, -1.6, -2, -31\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 74?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fppfpphhhpf. Give prob of sequence fppf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*v**2 + 117*v**2 + 94*v**5 - 279*v**5 - 303*v**5 + 197*v**2 wrt v?\nAnswer: -29280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.04 (b) 6 (c) -236\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09 times 169.7?\nAnswer: -184.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27224, -7, 3, 2.\nAnswer: -7, 2, 3, 27224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36 * -67.374\nAnswer: -2425.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**2 - 323*v + 2337. Give l(24).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 10:56 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(((f*f*(f\/(f**(-6\/19)*f*f))\/f*f*f*f*f*f)\/f)\/f)))\/(f**15*f*f))\/(f**(-7)*f\/(f*f\/f**(-15)*f*f)) assuming f is positive.\nAnswer: f**(234\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416367 is divided by 18910.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -831? (a) -2\/3 (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3967.8730533+-0.3\nAnswer: -3968.1730533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/42*9\/6. Let j = 0 + -11. Let f = j - -15. What is the closest to r in 0, f, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 1. Let j = 4 + i. Which is smaller: -2\/9 or j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**4\/r*r)\/r)\/(r*r\/r**5))**(-19)\/(r**(3\/4)\/(r**5\/r)*(r**(-2\/7))**(-27)) assuming r is positive.\nAnswer: r**(-3849\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15890 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(1\/2)*v)**(26\/9))**36)**37)**(15\/7) assuming v is positive.\nAnswer: v**(86580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 2641.189.\nAnswer: 52823.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -7, 5, 3, -1, -179 in ascending order.\nAnswer: -179, -7, -1, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 69*m + 1119. Determine d(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 2. Let k be n(-4). Let c(b) be the second derivative of -1\/6*b**4 + 0*b**3 + 2*b + 0 - 1\/2*b**k. Differentiate c(z) wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -151937 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-3876)\/(-112)) + (-4)\/6\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let q(h) = -254*h**2. Determine q(m(u)).\nAnswer: -1016*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 2, z: 1, a: 1, k: 4}. What is prob of picking 2 x and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(4\/3 - 0). Suppose -2*t - m = -3*r - 3*t, 0 = 4*r + 5*t - 9. Do -1\/4 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-84)\/3*(-24)\/28. Is 786495\/p + (-15)\/(-40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 21 = -0*k. Suppose -3*c + f = 2 - k, 4*c + f - 16 = 0. Let x(g) = g**3 - 2*g**2 + 1. Calculate x(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bb92 (base 13) in base 15?\nAnswer: -350d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -254\/5. Sort 0.7, -5, o, -2\/9 in decreasing order.\nAnswer: 0.7, o, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 2) + 307\/120 - 128\/96 and 15\/35 + (-41)\/700?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4907)\/2103*456\/(-14).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119482 is divided by 39807?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -16, 4, 10 in descending order.\nAnswer: 10, 4, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, -86, 2, 1, -1, 202 in ascending order.\nAnswer: -86, -8, -2, -1, 1, 2, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121424 - 2?\nAnswer: 121422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(6) + 2*sqrt(96) + sqrt(96) - sqrt(6) - sqrt(72)\/(sqrt(24)\/sqrt(2)))\/(((sqrt(80) - -1*sqrt(80))\/sqrt(4))\/(sqrt(30)\/(sqrt(3)*-2))).\nAnswer: -11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 5*n - 1. Let b(a) = 6*a**2 + 25*a + 4. Calculate b(m) + 5*j(m).\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 101? (a) 0.11 (b) 0.5 (c) -2\/7 (d) -57 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -45 and 264205 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/24 and (-2)\/(-14) + (178\/112 - 2).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*r + 10*r**4 + 10*r - 2*r**4 wrt r.\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*q + 13 - 28, q = -3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3466965997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*o + 3*d + 28, -70 = -3*o + 21*d - 61 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + -29. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17764 is divided by 5918?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198\/(-132)*(-4)\/(-8))\/((-33)\/20).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833) + sqrt(2057) + sqrt(2057) + 1)**2.\nAnswer: 16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9899*r**6 - 71635*r**2 wrt r?\nAnswer: 1187880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030795115 divided by -49.\nAnswer: 21036635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Suppose 4*r + 0 = a - 6, z = 2*r. Suppose 4*g - 42 = a. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as 995\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 422?\nAnswer: 34182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2 = -3*i, i - 30*s + 4 = -31*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -71.6462 - 0.738177\nAnswer: -72.384377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 10\/(-8))\/(-248 + (-199 - -444))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7091297.\nAnswer: 7091297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/126 and 35\/91386.\nAnswer: 639702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4330, -4329, -4328, -4327, -4326, -4325?\nAnswer: -4324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/10)\/m)**(-24)*m**(1\/7)\/(m\/(m*m\/(m\/m**(1\/5))*m)) assuming m is positive.\nAnswer: m**(803\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76420702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245769 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2175, 2934, 8043?\nAnswer: 13152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.0033 - 9. What is f rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Suppose -2*p + 34 = 42. Let m(w) = -2*w. Calculate p*j(o) - m(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 6*i + 3*i)*(2 - i - 2) + (4 + 1 - 2)*(-i**2 + 4*i**2 + 0*i**2 + (-3*i + 2*i + 0*i)*(-2*i + 0*i + i) - 3*i - 3*i**2 + 3*i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 182 = -4*h, 31*h - 746 = -2*y + 47*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834989.\nAnswer: 17, 49117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1341765?\nAnswer: 3, 5, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2847 - 1408. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1558086859 rounded to six dps?\nAnswer: -0.155809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**4\/2 + x**3\/3 + x**2 + 351*x - 121. Is 13 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -92, 63, -4, 32 in ascending order.\nAnswer: -92, -4, -1, 32, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*m - 2132 - 1112, -5*i + 4*m = -4055. Let s = -291 + i. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, e: 3, a: 1, p: 4, n: 2, r: 3}. What is prob of sequence ranr?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 0.13. Which is the biggest value? (a) s (b) -6 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48273?\nAnswer: 3, 16091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-12 - -29 - 3) - (-5 + 14 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 8:21 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 506 - -2?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -140036\nAnswer: -1\/35009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46433 (base 10) in base 12?\nAnswer: 22a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248610088.\nAnswer: 2, 2053, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5900\/75 - (-2450)\/(-525).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3542 and 14784?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2815, 5872, 8929, 11986, 15043?\n\"Answer: 3057*x - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let g(d) = -2*d**2 + 48*d + 42. Let n(p) = -c(p) + g(p). Calculate the remainder when n(24) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - -58. Suppose -2*g + 18 = 4*q, 0 = -n*g - 3*q + 4*q + 27. Let z(b) = 10*b**2 - 17*b. Is z(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:32 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93035 is divided by 588.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22288145 less than 22288146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1431675 and 476.\nAnswer: 97353900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1183 - 309163321869.\nAnswer: -309163323052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - (-23067)\/(-297)) + (-5)\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 685*s**2 - 94*s - 15. Is a(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12827 - -13343. What is the highest common divisor of x and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 31296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p = 20*p - 54. Let u(c) = -3*c**3 - 4*c**2 + c. Give u(p).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + n**2 - 5*n - 4. Suppose 3*u + 5*x = 3*x - 9, 0 = x. Determine q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-1\/19)*b)*b**(-2\/29)*(b**(2\/5))**(2\/17))**12 assuming b is positive.\nAnswer: b**(-603912\/46835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6197*q**3 + 12504*q**3 - 6285*q**3.\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -475, 2, -0.03, 0.1, 9 in decreasing order.\nAnswer: 9, 2, 0.1, -0.03, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + sqrt(425) + 5 + -4 + 4)*-5)**2*4.\nAnswer: 4000*sqrt(17) + 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3306218?\nAnswer: 2, 1653109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11))**31\/(a\/a**(2\/23)*a*a**(9\/8)) assuming a is positive.\nAnswer: a**(-63303\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/296 - 599\/2072. Let h = 5.4 - 5. Put h, -0.5, c in ascending order.\nAnswer: -0.5, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:05 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -1. Let r(n) = -10*n**3 - 31*n**2 + 29*n + 101. Let k be r(-3). What is the closest to m in 0.3, -1, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.30061 centuries in years?\nAnswer: 6730.061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(396) + (-1 + sqrt(396) - sqrt(396)) + 5.\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 1:48 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebj when three letters picked without replacement from {e: 3, j: 3, b: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2243*j - 5. Let h(f) = 500186*f + 1114. Calculate -1114*c(w) - 5*h(w).\nAnswer: -2228*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-288)\/42 + 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/((-154)\/(-16))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*r + 22. Solve 3*k + k + 8 = -r*i, -4*i = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 7*n**6\/160 - n**5\/40 - 3*n**2 - 7. Solve l(k) = 0 for k.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231*30\/(-46860)*50\/7 + (-2 - -1).\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from domefmfneoen?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62128886 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -889 + 890. Is u less than or equal to 2\/4197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/26)\/(-14 - -15). Let q be (-6)\/(-10) - (-2)\/5. Is m at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 769847077 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 0.1 (c) 5 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9385939 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1040, 2078, 3116?\nAnswer: 4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + -2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - q - 3 + 24 + 110.\nAnswer: -q + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6541 and 7470455.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137213, 134342, 131471, 128600, 125729?\nAnswer: 122858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6848841 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4334*k**3 + 8448*k**3 - 4322*k**3.\nAnswer: -208*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 944 = -11*g. Let j = 207 - g. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 3. Let x(c) be the first derivative of 3 + 8*c - 3\/2*c**2. Let z(h) = h**3 + 4*h**2 + 3*h + 1. Let g be z(-2). What is g*x(w) + 8*r(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 - 160.1324. Let q = 0.13 + o. What is q rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25538 is divided by 2553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = -5*n. Suppose b = 6*b. Suppose -6*k - 24 = 4*y, 13 = 5*k + 43. Sort b, y, -1, n in descending order.\nAnswer: y, b, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237 + 123. Let b = -112 - v. Let q(f) = f**2 + f - 2. Give q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n + 17. Let x be (-150)\/18 - (-24)\/18. Calculate r(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5 + 777*z**4 + 33279*z**3 - 79977*z**2 - 461322*z - 348840 = 0?\nAnswer: -204, -57, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21857, 89050, 201031, 357794, 559333?\n\"Answer: -s**3 + 22400*s**2 - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2 - 3*z**2 - 19*z**2 - 3*z**2 - 12 + 36*z = 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 3 + -3 + 5. Suppose -3*n = -p*n. Suppose -5*d = 3*w - 95, 3*w + n*d - 2*d - 88 = 0. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1198000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0061, -0.02, -1, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -455177.428?\nAnswer: 455184.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*14*860\/903*54\/10. Let r(h) = h**2 - h + 4. Let p be r(5). What is the highest common divisor of a and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 times 2684509\nAnswer: 4295214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - q**2 + 4*q**2 + q**3 + 14*q**3 to the form k*q**3 + h*q**2 + o*q + y and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210981 and 21.\nAnswer: 1476867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 60. Solve o = -r + 4*r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*f = -35 - 95, z - 30 = -f. Suppose z = 3*s - 2*x - 3*x, 4*x = 3*s - 23. What is the lowest common multiple of 6\/21 + (-38)\/(-14) and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 41657.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 2*v + 627 + 449, 0 = -r - 18*v + 126 for r.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-5)*g)\/g**(-3))\/((g\/g**0*g)\/g)**(-3\/5) assuming g is positive.\nAnswer: g**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0458360176 rounded to 4 decimal places?\nAnswer: -0.0458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2 - 72338*u + 26334020.\nAnswer: -2*(u + 12410)*(3*u - 1061)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1717*h**2*n**3 + 9887*h**2*n**2 - 17*h**2*n + 195*h*n**3 wrt n?\nAnswer: 10302*h**2 + 1170*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 89.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 655987 + s + 0*s + s - 651363 to the form u + h*s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3448 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 552031759?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 + 12 = 0. Suppose 0 = -0*h + q*h - 2. Let t = 1 + h. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4293848 to the power of 1\/2, to the nearest integer?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 12 = 4*y, 0*y - 3*q = 5*y - 31. Suppose 132 = 2*z - 4*b + 5*b, y*z + 2*b = 330. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (221*j**2 - 494*j**2 + 224*j**2)*((-2*j - 2 + 2)*(-3 - 1 + 5) + 2*j - j - 3*j - j + 2 - 2 + 0*j - 2*j + j) as t + v*j + y*j**3 + f*j**2 and give y.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-2 - (-12)\/8). Let y = 28 + p. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 10. Which is the biggest value? (a) 0.2 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(-2 + 1*sqrt(2))**2 + -2.\nAnswer: -16 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1708 + -593. Round d to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 547713384, 547713382, 547713380, 547713378?\n\"Answer: -2*i + 547713386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12279.\nAnswer: 3, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -63, -102, -177, -300, -483, -738?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 346, 4, -12 in descending order.\nAnswer: 346, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*m = -88*m + 1680. Calculate the remainder when m is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r + 8*r**2 - 1\/3*r**4 + 0 + 0*r**6 + 0*r**5 - 1\/210*r**7 + 0*r**3. Find the second derivative of q(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -178 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5658*v + 5664*v - 72 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Suppose -2*j + 3*d = 4*d - 12, 3*j + t*d = 20. Factor 2*y**2 - 2 + 0*y**2 + 4 + j*y.\nAnswer: 2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvv. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -490, -555, -672, -871, -1182?\n\"Answer: -5*f**3 + 4*f**2 - 42*f - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58 - 2.273227017274.\nAnswer: 55.726772982726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 5 - 5*n**3 + 7*n + 3*n**3 - 4*n**2. Calculate j(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhoobqkkkkqqq. Give prob of sequence kq.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 10 + 8. Let k be ((-6)\/20)\/(u\/8). Sort -0.3, 2, k in ascending order.\nAnswer: -0.3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, 35, 90, 105, 44, -129, -450?\n\"Answer: -6*l**3 + 34*l**2 - l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*o - 14. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/15*(2 + -7). Let d be (s\/15)\/((-1)\/5). Let a(q) = -800000*q. Let v be a(d). Round v to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*d - 10, 2*v = -8*d + 3*d + 7. Let u = 2 + -3. Let y be 1 + u + (-1 - -1). Is v greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-286)\/(-39))\/((-198)\/(-324)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5 + 1100*v**4 + 326657*v**3 + 13242430*v**2 + 122173356*v - 299947320 = 0 for v.\nAnswer: -527, -30, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 20, -207*i - 7 = -208*i - 4*k. Let u be (-322)\/35 + (-2 - i). Solve 12\/5*q + 3\/5*q**2 + u = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-263513.8\nAnswer: 790541.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 1 - (-2 + 1). Let f be (-2)\/(-7) - 16\/b. Let d be (f\/3)\/((-1)\/3). Solve -5*r + 1 = -t - 6*r, d*r + 4 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 203*q**6\/120 + 71*q**3\/2 - 232*q**2. What is the first derivative of s(z) wrt z?\nAnswer: 609*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 10 + -11 - 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c + 13. Determine l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*r - 376*r - 160 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let -d**2\/5 - 17317*d\/5 - 69252\/5 = 0. Calculate d.\nAnswer: -17313, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/612 and 13\/816?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/(h\/((h*h\/(h\/(((h**6*h)\/h)\/h)))\/h)*h))*h)**(-8\/3))**(-6\/13))**(2\/137))**(2\/25) assuming h is positive.\nAnswer: h**(-128\/44525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(627\/594) - (0 + 28).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7156575.264 rounded to the nearest one hundred?\nAnswer: 7156600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -210, -191, -154, -93, -2, 125?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1232 = -13*i. What is the least common multiple of i and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595 a factor of 2277269225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*24\/10*10\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {q: 3, r: 13}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 16*s**2 + 2*s - 75. Let q(b) = 30*b**2 + 5*b - 152. What is 5*g(u) - 2*q(u)?\nAnswer: 20*u**2 - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55996 or 348?\nAnswer: -55996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**3 - 11*h**2 + 11*h + 223. Is n(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - 6 - (-5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 2487*n + 14866. What is q(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2182 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.247 minus -10.6?\nAnswer: 12.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -12.1461434.\nAnswer: 60.730717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t. Let j be p(-1). Calculate the common denominator of 78\/(-16) + j\/8 and (-1342 - -1323) + 152\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7 = 5. Solve m**4 + 2*m**4 - m**2 - m**5 - 2*m**j + m**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**3\/6 - 2*u. Let a(j) = 10*j. Let k(f) = -5*f. Let d(y) = -6*a(y) - 13*k(y). Calculate d(s(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -71*k + 851. Let y be b(12). Which is smaller: 3\/578 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7612 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 28 - 2 = -5*a, 0 = -q - 5*a. Let i(f) = 2*f**2 - 7*f - 2. Let m(s) = -2*s**2 + 8*s + 2. Determine q*i(l) - 4*m(l).\nAnswer: -2*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let m be (7310\/7525)\/((-2)\/(-7)). Suppose v**g + 6\/5 + m*v = 0. What is v?\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14333588, -14333592, -14333598, -14333606?\nAnswer: -14333616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03237 - 1.03237. What is the nearest to -2\/7 in -2, 4, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 623 + 611 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.65 and -0.3.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4088 + -1963. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8695755 decades in centuries?\nAnswer: 0.08695755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-24)*-13 + -2. What is the second biggest value in m, -5, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 15*a**2 + 16*a - 19. Let n be y(14). Let o(g) = -g + 5. Let z be o(5). Solve 3*t + n = -z*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -22. Suppose r = 9*c - 6*c. Suppose 3*v - 95 = -c*v - 3*k, -k - 27 = -2*v. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 4*p + 14. Calculate q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 306, 686, 1208, 1866, 2654, 3566?\nAnswer: 4596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 times -136946?\nAnswer: 14653222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxccccxc. Give prob of picking 2 c.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 57*a + 11. Let k be y(4). Suppose 25 = 4*n - k. What is the lowest common multiple of 21 and n?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 11. Let l be a(4). Solve 0 = s + l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-4 - (-10 + (8 - (-19 + 9))) - -17)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269249?\nAnswer: 19, 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1481 and 0.2823.\nAnswer: -418.0863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 17503871.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 57*y**2 - 31*y - 87. Give q(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*d + x = -135*d - 37125, 2*x = -5*d + 61886. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 70 + (-67 - -16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.1091 + 0.1091. Is x != -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3*l + 3*l - 261*l**3.\nAnswer: -261*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -56 (b) -0.133 (c) 957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3519 = -266*h + 1003 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2\/f*f\/(f\/(f**(-8)*f)) assuming f is positive.\nAnswer: f**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-4\/5)*c**(-2\/7))\/(c**2*c*c*c*c\/c**(-1\/2)) assuming c is positive.\nAnswer: c**(-279\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -7 - (5 - -140173). Let n be ((-3)\/642)\/(1\/j). Let v = n + -655. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 6*d**3 - 46*d**3 - 31.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide -1 + ((-4)\/(-6))\/(70\/2273145)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1, -3 in decreasing order.\nAnswer: 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 387367134 a multiple of 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*m - 7 = -f, -2*f = -m + 13. Let s = f + 26. Let d(n) = -6*n - 6 - 15 + s. Calculate d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.2 - -8. Suppose 6 = 2*p - 0*n + 2*n, 4*n = -p - 3. Let g be ((-8)\/(-10))\/(2\/p). Which is the nearest to -2? (a) g (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12*3)\/(3900\/1800)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 228129024 divided by 38021504?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:10 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*b = 25, 2*d - 7 + 32 = -5*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 7)*(-255 - 251 + 504 + 16*p) + (1 + 1 + 0)*(-p + 6*p - 3*p) + 3*p - p + 0*p - 2*p - 2*p + 5*p + 3*p - p + 0*p as a*p + c and give a.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0*w**2 + 7\/6*w**3 + 0 - 16*w. Let x(u) = 3*u**2. Calculate l(x(o)).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + (9680\/15)\/(-2). Let w = 574 + p. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**3 + 98*k**2 + 310*k + 11309. Calculate c(-33).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26406?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020012111010 - -211?\nAnswer: 1020012111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6 - p**2 - 3*p - 4*p + 2*p. Give y(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117044927780 + t + 117044927780.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2906, -5803, -8692, -11567, -14422, -17251?\n\"Answer: o**3 - 2*o**2 - 2898*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 2*y = 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:32 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -2. What is the common denominator of -1 + (1 - t\/(-6)) and -21\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**6\/30 - 2*t**5\/5 + 17*t**4\/20 - 8*t**3\/15 - 188. Solve y(b) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 - 26 = 56*t - 4*o, 113*t + 4*o + 68 = 114*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpykkooffkcpooo. What is prob of sequence py?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9611, 38284, 86023, 152840, 238747, 343756?\nAnswer: 467879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1950 divided by 1?\nAnswer: -1950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39000 divided by -500.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 268, 530, 780, 1012, 1220?\n\"Answer: -g**3 + 269*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 6*v + 2. Let j be x(6). Suppose 3*z + j*z = 0. Suppose z = q - 4*y + 3 - 0, -y = 4*q - 22. Let n(g) = g - 4. Give n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6559032 and 264001038.\nAnswer: 1056004152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 4) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56273008 and 2.\nAnswer: 112546016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -43*f - 10. Let q(m) = 4*m - 3. Calculate h(s) - 2*q(s).\nAnswer: -51*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -4, 2, 3\/16, 0.074, 3, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-3) - -10) + (5 - 3). Let l be (-2 + f\/15)*-25. Solve u - 25 = 6*u, -5*u = 5*m + l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -157768 divided by -1924\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.00863*0.23\nAnswer: -0.0019849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 150202 (b) -1.6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/110)\/(48\/(-15))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7978 is divided by 845.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*v - 15 = 0, 10*x = 7*x + v + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101110110110101 (base 2) to base 11.\nAnswer: 119134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(-14)))\/f*f\/(f*f*f**(2\/9)))\/(f*f\/(f\/((f\/(f*f**6))\/f))*f\/(f\/f**7)))**35 assuming f is positive.\nAnswer: f**(-5425\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 19706.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 26 + -21 + 27.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqioq. What is prob of picking 1 o, 1 i, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1931.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*l - 5 - 11, 0 = l - 5*q - 22. Let j be (-18)\/(-21)*(-14)\/l. Solve j*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 18*d - 6. Calculate the remainder when 643 is divided by m(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43381311427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6823.\nAnswer: 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 10. Let s = -17 + 25. What is the least common multiple of s and u(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:02 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -17*z**2 + 9*z - 13. Let l(c) = 9*c**2 - 5*c + 7. Let g(i) = -7*l(i) - 4*m(i). Let h(s) be the first derivative of g(s). Is 12 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2907 - 3.290711201. What is f rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 106 = 3*w. What is the remainder when w is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10133132 (base 6) in base 3?\nAnswer: -112211222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-1650) + 8 + (-360)\/44?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 825 + 125. Let g = 679 - l. List the prime factors of g.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 + 4*r + 2. Let j(z) = z**3 - z**2 + z + 1. Let p(h) = -2*j(h) - o(h). Let m be p(-2). Solve -3*k + m = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 4*h**2 - 71*h - 161. Determine w(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 37645660*a + 177149464604450.\nAnswer: 2*(a - 9411415)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6) - (-7614)\/972. Solve j + o = 2*k, 3*j + 3*k = k + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 1:21 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52, -38, -6, 50, 136, 258, 422, 634?\n\"Answer: l**3 + 3*l**2 - 2*l - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*m + 173 - 152, -3*d + 39 = 3*m. Which is bigger: 84\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 135, 177, 287, 489, 807, 1265?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 11 = -4*s, -3*z - 2 = 1. Suppose 0 = -p - s*p + 9. Solve p*r - 4 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = -4*q, q - 2*f + 3*f + 1 = 0. Let p be ((-2)\/(-4))\/((-3)\/(-24)). Let r = p + q. Which is the second smallest value? (a) 3 (b) 3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -679, -711, -743, -775?\n\"Answer: -32*c - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 - 8 - (3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-188))\/(10\/8*1154\/5770).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 0. Suppose -3*s - w = -s - 5*o, o = 4. Solve 4*p - 22 = s*k, p + 0*k - 3 = -2*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/(14\/2520 - 0). Is 3423 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/309? (a) 0.2 (b) -0.4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5834 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*k + 49 - 49 + 18*k + 112*k.\nAnswer: 70*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(208) - sqrt(117)\/(sqrt(9) + sqrt(144)))*-6.\nAnswer: -114*sqrt(13)\/5 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 1 y when three letters picked without replacement from {e: 1, n: 2, y: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2 = 4*x, 229*g - 224*g - 37 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/226 and (-1690)\/(-396) + (-8)\/36?\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3965*w**3 - 1311*w**3 - 1310*w**3 - 1341*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*h = 35, 7*l - 21 = 4*l - h. Suppose -3*q - 25 = -271. What is the remainder when q is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -12) + -8 - -19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 398, 1197, 2716, 5195?\nAnswer: 8874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 721 - 26. Let k = o - 366. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 16*x**2 - 3*x + 51. Let r be f(-16). What is the greatest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 + 22*v**2 - 9*v + 9. Let x be h(7). Let p = -2 - -4. Let b = 15 + -14.7. Put x, p, b in ascending order.\nAnswer: x, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0, -35, 1128, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44721 is divided by 44659?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10602413 + 2?\nAnswer: 10602415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 31*h + 667. Suppose -3*s = 2*n, 0*s + 2*s + 22 = -5*n. Let p(v) = 2*v**2 + 6*v - 8. Calculate the remainder when o(-18) is divided by p(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3*a**2 + 5*a + 1\/4*a**3.\nAnswer: a*(a + 2)*(a + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - a**2 + 5*a - 9. Let h be l(2). Find the common denominator of 1\/14 and h\/8 + 1 - 1337\/392.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7 + v**2 - 1\/7*v**3 - 4\/7*v.\nAnswer: -(v - 6)*(v - 2)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 10:56 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(4\/3)*t))\/(t*t*((t*t*t*(t\/(t*t\/(t*t\/(t\/(t\/t**(-8)))*t)))\/t*t*t*t)\/t*t*t)\/t*t))**(-15\/11))**25 assuming t is positive.\nAnswer: t**(7250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 4*g = 5*p + 185, 3*g + p + 119 = 0. Is 2\/3 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/14*(-9744)\/1566*6\/(-7)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 2. Let h be m(5). Let k = h - -15. Suppose -v + 11 + 9 = 0. Calculate the least common multiple of k and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 510 and 32640?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 20 = 2*i. Let s(o) = 11*o - 3. Let n(m) = -26*m + 7. Let l(j) = -3*n(j) - 7*s(j). Give l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-8)\/(-2) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.46 - -0.04. Let y = 0.4 + x. Which is the second biggest value? (a) y (b) 2 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17429524.872 rounded to the nearest 1000?\nAnswer: -17430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/84 and 39\/14644.\nAnswer: 43932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r\/((r*r**(-10\/3))\/r)*r*r*r)*r*(r*r**(-2\/7)*r*r)\/r assuming r is positive.\nAnswer: r**(-97\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 16, -166, 2, -426 in ascending order.\nAnswer: -426, -166, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9*w = 9184. List the prime factors of w.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62, 127, 192, 257, 322?\n\"Answer: 65*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 2. Let o be 1 - y\/4*3. Let j = o - 1. Solve 2*n - 4 = -2*c, -5*n - 22 = -j*c + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13653, 54701, 123107, 218865, 341969, 492413, 670191, 875297?\nAnswer: 1107725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 7*u - 2. Let n be c(7). Let t(b) = b**2 + b - 4. Let d be t(n). Let k be ((-1)\/d)\/((-33)\/(-6)). Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/((-3304)\/(-1932)) + 121?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-3*3)\/(sqrt(56)\/sqrt(200)).\nAnswer: -45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -4, 2, 846 in ascending order.\nAnswer: -5, -4, -2, 2, 846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**3 - 11*c**2 - 9*c - 11. Let k(v) = 27*v**3 + 32*v**2 + 28*v + 35. Let j(d) = 7*f(d) + 2*k(d). Calculate j(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*s + 101*s + 98*s - 3 + 94*s - 3.\nAnswer: 224*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 20*w + 1. Let z be 8 - (-1568)\/88 - (-4)\/22. Let r be a(z). Which is smaller: r or 158?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298.53 - -300. Let b = -5.23 - n. Let x = -0.7 - b. What is the third biggest value in 1\/2, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11184912 divided by 3728304.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/3, -2\/5, -5\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 678275 in ascending order.\nAnswer: -5, 3, 678275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + 0 - (135 - 123))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -106, -788, -2646, -6268, -12242, -21156, -33598, -50156?\n\"Answer: -98*v**3 + 4*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2*h**2 - 5*h - 3. Suppose 272*j - 2346 + 714 = 0. What is the remainder when x(5) is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 292, 642, 986, 1324, 1656, 1982, 2302?\n\"Answer: -3*o**2 + 359*o - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*f + 100 = -2*f, -3*d = -4*f - 60. What is the least common multiple of d and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**3*w + 3*v**3 + v**2*w - 7*v*w - 51*v wrt v?\nAnswer: -30*v*w + 18*v + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/3)\/(71\/(96915\/(-490))))\/(6\/(-42))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.3 + 1.7. Which is the smallest value? (a) 1\/6 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 933749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24612?\nAnswer: 2, 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/560)\/(-2*(-22)\/16)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 15) to base 2\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2 - 873288*p + 95328991368 = 0 for p.\nAnswer: 218322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -338634160, -677268322, -1015902484, -1354536646?\n\"Answer: -338634162*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 150*g**2.\nAnswer: 3*g**2*(g - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/6, 10, -1.188, 3 in decreasing order.\nAnswer: 10, 3, 0.5, -1\/6, -1.188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*z - 32 = -184*z. Let g be 2 - -1 - ((-150)\/(-20) + z). Which is the closest to 2\/7? (a) 2 (b) -4 (c) g (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 5*t - 7. Let b be r(5). Let z be b\/(14\/4 - 3). Let n = -14 - z. Which is greater: -1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 7*x**2 + 9*x + 3. Let c be q(-9). Let v be c\/15 + 2\/5. Let f be v*(-1)\/((-9)\/6). Solve -f*n + m = -19, n + 0 - 6 = -m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.1 times -3\nAnswer: 102.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 6*x**2 - 767*x + 72. What is g(30)?\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 1, v: 3, u: 1, y: 1}. What is prob of sequence evy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*r + 603 = 77*r - 152*r. Calculate the highest common factor of r and 2144.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455882159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*f = 36, 3*o + 0*f - 4*f = 56. Suppose -5*q - o = -9*q. Let p(l) be the first derivative of -l**2 - l - 3. Calculate p(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.40548 + -0.40548. Let t = -663 + 658.09. Let s = t - 0.09. Is s != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 83*h + 41. Let i(c) = -83*c - 43. Let o(g) = 4*i(g) + 3*w(g). Differentiate o(p) wrt p.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120*(-74)\/4995)\/((10\/(-18))\/(-5))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -16. Suppose 0 = 5*f - l - 3. Calculate the smallest common multiple of 2\/3 - f\/(-6) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + 2 - r)*(-4*r - r + 0*r).\nAnswer: 15*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-126)\/(-35))\/(6\/20). Suppose r*a - 7*a + 15 = -5*g, -3 = g. Which is bigger: a or 7\/57?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/7 (b) -4 (c) 41\/3 (d) -11 (e) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + (-11 + 19 - -5) - 15 - -26?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 176885?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1207 minus -20?\nAnswer: 19.8793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 472.4168mg?\nAnswer: 0.0004724168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -154. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 298.\nAnswer: -1\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(378)*-2*3 + sqrt(378))*-1)\/((sqrt(18) + (sqrt(882) - (2*sqrt(882) - sqrt(882))))\/sqrt(3)))**2*-2.\nAnswer: -3146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -73*p + 26. Let o(y) = -15*y + 5. Give 2*i(j) - 11*o(j).\nAnswer: 19*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1056 and 5544?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1812584 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 127008256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1704*t - 2114*t - 37720 = 0 for t.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 30. Give u(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284 + -282. Let g(f) = -f - 5. Let x be g(-5). Suppose -3*w - 4*j + 1 = x, -5*w - 3*j = -3*w. Calculate the greatest common factor of w and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 18 - 53 = -5*j - 3*a - 2*a, -39*a - a = 18*j - 468 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3.9, -1, -0.1, -0.33 in decreasing order.\nAnswer: 3.9, -0.1, -0.33, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 + 35. Let x = t + 101. What is the least common multiple of 2 and -4 + x + -3 - 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9260.311m to micrometers.\nAnswer: 9260311000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1039 - 60?\nAnswer: -1099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from wwyc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/33 - 16\/33. Let b = 1 - -2. Let s be -1 - -6*b\/14. What is the nearest to s in -0.3, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (31 + -1)*(-3)\/21 and (6 - (-175)\/(-28))*388\/(-10).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hquouuuuquhquq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -27. Sort s, -5, 1\/6, 0.5 in descending order.\nAnswer: s, 0.5, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.86 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726890.\nAnswer: 2, 5, 72689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0.3. Let i = -266.1 - -266.1. Which is the nearest to i? (a) n (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 22*l - 6. Let y(g) = -g**3 - 8*g**2 + 12*g + 19. Let v be y(-8). Let z be (-22)\/v + (-66)\/(-14). List the prime factors of x(z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34276 = 152*o + 1245*o + 553*o + 30074 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (168\/(-18))\/(-14)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*x, 6448 = 5*w - 5*x - 2792. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 119802\nAnswer: -1\/39934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2003.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 17*p = -55*p + 190. Solve 4*f + p*c = 0, f - c = -2*c - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**27))\/d**(16\/5) assuming d is positive.\nAnswer: d**(-151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*r = 17321 - 29577 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {t: 2, f: 1, j: 4, e: 2, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -63, -61, -2\/7, 21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 + 9*b + 10. Let a(d) = -7*d**2 - 18*d - 22. Let s(n) = 6*a(n) + 10*f(n). Let y be s(-5). What is the highest common divisor of y and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14\/22189 + -1426634\/10362263. Let y = 43673\/18680 - i. Find the common denominator of y and 69\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 18 + (25 - 15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(330) - -2*sqrt(330)*5)\/sqrt(10))\/(6*((sqrt(162) + sqrt(18))\/sqrt(2))\/sqrt(3)).\nAnswer: -55*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, -208, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 5*v - 6*v + (-1 + 3 - 4)*(-2 + 2 + v) + (-2 + 2 - 1)*(2 + 2*v - 2))*(-20*v + 20*v - 3*v**3).\nAnswer: 48*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/12 - n**3\/6 - 18*n**2 - 22*n. Calculate t(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 14488199.\nAnswer: 101417393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1136\/368 - (5 - 2)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 1. Suppose -3 = 4*w + 5. Let g(d) = -d - 2. Let r(c) = w*g(c) - 4*i(c). Let v(p) = p**2. What is r(v(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-7*(-2)\/(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -10. Let x = -9 - -11. What is the second derivative of -3*g**w + x*g**3 + 0*g + 2*g + 0*g**3 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.79 + -8. Let m = x + -0.39. Which is the biggest value? (a) m (b) 0.5 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 675185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqssqs. What is prob of sequence sqsq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1415 = 51*l - 2435 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*p - 5*k + 2, 0 = k + 4. Let n = -6 + p. What is the least common multiple of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w. Let m(z) = -1 - 36*z + 1 + 63*z - 130*z. Determine b(m(s)).\nAnswer: -927*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 103*i**2 + 101*i - 381. What is v(-104)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -35, -0.4, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 415263613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18335 or -110003\/6?\nAnswer: -18335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4350 and 2050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 15*n\/4 + 9.\nAnswer: (n - 12)*(n - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 + 4 = -4*w, 3*i + 8 = w. Let q be (-8)\/16 + 6\/i. Is q at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-2\/11)\/(c**7\/(c\/(c*c*c**(-5)*c))))\/((c**(-1))**43\/(c\/((c*c*c**1*c*c*c*c)\/c)*c**2\/c)) assuming c is positive.\nAnswer: c**(383\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*i = 181*i, 0 = -m - 3*i + 78. Calculate the least common multiple of 11 and m.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**4*c + 202926*a**2*c - 1809*a*c - 2*c - 54 wrt a?\nAnswer: 48*a**2*c + 405852*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43663418 by -2.\nAnswer: 21831709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -77574 divided by -14?\nAnswer: 5541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/36 and -139\/1992.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/3 - 784*i**3\/3 + 103840*i**2 - 7620096*i = 0. Calculate i.\nAnswer: -656, 0, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 5*h**2 + 8*h - 17. Suppose 0 = -z + 10*g - 7*g - 1, 4*z - 30 = -5*g. What is the remainder when (-130)\/8*(-4)\/1 is divided by r(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*i**4 - 2*i**3 - 2 + 101*i**2 - i - 122*i**2 - 63*i**4 + 121*i**4 as x + j*i + k*i**2 + l*i**3 + v*i**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*m - 46072 = -370*m for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12066841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-81))\/(12\/81). Which is bigger: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - -27?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -282 (b) -4\/7 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-12)*10*1. What is the units digit of (l\/1)\/(15\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1138 - 397. What is the first derivative of 1517 - 743 + 9*b - k wrt b?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 + 11*a**2 - 8. Let g(l) = l + 1. Let i be g(-6). Let v = -2 - i. Let d(f) = 0 - f**2 - 3*f**2 + 1 + 2 + 2*f**3. Calculate v*z(s) + 8*d(s).\nAnswer: s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9756*y + 21545*y - 9886*y - 2.\nAnswer: 1903*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84012630?\nAnswer: 2, 3, 5, 13, 215417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*u + 4*f - 112, -2*f - 234 = -4*u. Let a = -63 + u. Sort -0.08, 0, 0.1, a in increasing order.\nAnswer: a, -0.08, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3184 and 0.19.\nAnswer: 3184.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (0 + 26 - 51).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -501 + 1043. Let y = b - 872. Round y to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -8 in increasing order.\nAnswer: -8, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -90287915 - -0.12\nAnswer: -90287914.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p + 16. Give g(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c + 5. Let o be d(-3). Let z = -16 + o. Find the first derivative of -5*m**4 - z*m**2 + 10*m**2 + 5 wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 2. Let t be p(0). Solve 0 = -2*c - i + t, -2*c + 0*i + 2 = -3*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 15. Let b(z) = z**3 - 10*z**2 + z - 10. Let s be b(g). Solve -m + s*m = 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 25*i**2 + 24*i - 50. Let s be f(-26). Differentiate 123*x**2 - 300*x**s - 112 + 132*x**2 with respect to x.\nAnswer: -90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.6 - 7.6. Which is the smallest value? (a) 11 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -330323233 (base 5) to base 13\nAnswer: -3a8166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111 (base 3) in base 5?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 74*s - 513. Let n be t(7). Suppose n*l + 3*o - 4*o = 4617, 5*l = -o + 4623. What is the greatest common divisor of 168 and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - 7*k**2 - 8*k + 7. Let u be y(-3). Suppose u*m = 51*m - 18. Calculate the remainder when 104 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -5 (c) -0.4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 0)*(4 - 3). Suppose -b*r + 525 = 3*r. Suppose 2*x = -5*n - 127, 4*x + r = -3*n - 170. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -79*t**2 + t - 1. Let g be b(1). Is (-18 - 4)*g\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 96, -42, -578, -1710, -3636, -6554, -10662?\n\"Answer: -33*k**3 + 98*k**2 - k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000100252371 to 7 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/8, 49559, 3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.053118\nAnswer: 0.212472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 666915*w. Let h(n) = 29*n. Give h(k(m)).\nAnswer: 19340535*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = 3*k + 6*a, -3 = -4*k - a. Let s(l) = -l + 6. Let m be s(6). Suppose -4*h + 7*h - 6 = m. Solve -h*c + 8 = k, -c - 18 = -p - 6*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -4) + 0 + 0. Let j(d) = -d**3 - 10*d**2 - 10*d - 4. Let m be j(-9). Suppose m*n + 0 = 5. Solve 2 + n = -3*l + 3*i, -2*l = a*i + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1*30 + -3. Let z = f + -12. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1186795624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-112))\/(84980\/(-38848))\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 516577*f - 10848120. Determine u(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48053275547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - h**2 + 8*h + 9 - h**2 + 0*h**2.\nAnswer: -2*h**2 + 8*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6316*w**2 + 6*w + 4572. Let x(b) = 6316*b**2 + 7*b + 4575. Let h(g) = -7*c(g) + 6*x(g). What is the first derivative of h(t) wrt t?\nAnswer: -12632*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7123 + -7116. Let f = -45\/148 - -2\/37. What is the third smallest value in w, f, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 + 12*r**2 + 2*r - 3. Let l(s) = 7*s**3 + 37*s**2 + 3*s - 8. Let k(f) = -3*l(f) + 10*u(f). Give k(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.1, 5\/4 in ascending order.\nAnswer: -0.2, -0.1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -557 divided by 1746.\nAnswer: -557\/1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9199907 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, -106, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160136 and 4328.\nAnswer: 160136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*((-9)\/4)\/(-3). Let d(k) be the second derivative of k**4\/12 - k**3\/2 - 2*k**2 - k. Is d(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 28 = -13*x. Let f = 0 + -4. Is f equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-10)\/4)\/1). Let n = -0.58 - 0.02. Let x = n + 1.6. Which is the nearest to l? (a) x (b) -5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8150 - 3074 = -61*f. Calculate the remainder when 586 is divided by f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 4, a: 5}. What is prob of sequence av?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 - 14*a + 9. Let s(b) = 2*b - 1. What is -7*s(u) - y(u)?\nAnswer: -7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243342.\nAnswer: 2, 3, 11, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - r + r)*(-13 - 30 - 18)*(-4 + 0 + 1)*(2 + 4 - 3) in the form d*r + l and give d.\nAnswer: 1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/((-12)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 31 + 16 + 15.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/37845473 or 0?\nAnswer: 1\/37845473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005800.\nAnswer: 2, 3, 5, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 23322204?\nAnswer: 23322164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, q: 5, i: 5}. Give prob of sequence iqi.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 62 - -79b2a7?\nAnswer: 79b329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/5 - 44*g**3 - 7566*g**2\/5 + 149776*g + 23174432\/5 = 0. What is g?\nAnswer: -37, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 5\/6, 606, 0, -101, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and -331.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 69511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tst when three letters picked without replacement from jssmjtjist?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -53 + 2*d**2 + 14 + 39 + 7*d. Let x(t) = t**2. Give x(n(o)).\nAnswer: 4*o**4 + 28*o**3 + 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (57 - 39)) + 44 + 1 + 27?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5241931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-105)\/4)\/21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 0, 3*p + p + 5*u = -12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1365126?\nAnswer: 1365134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320065248*h**3*j**2 + 22626*h*j**2 + 1472*j**2 wrt h.\nAnswer: 1920391488*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -55*l + 33*l - 4*l**2 + 112 + 5*l**2. Let r be i(8). Put r, -4, -25 in descending order.\nAnswer: r, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4509014 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.818 - 742.182. Let j = 743.6 + a. Sort 3\/2, 5, j, 0.5.\nAnswer: j, 0.5, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 0.27, -130?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 2, l: 2}. What is prob of picking 2 m and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvylyvlvv. What is prob of picking 1 l, 2 v, and 1 y?\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 14) in base 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:26 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 23*i - 56. Let b(l) = -2*l - 1. Let d(k) = b(k) - q(k). Let a be d(-18). Is a bigger than 3\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/55865020 and 83\/3480.\nAnswer: 335190120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3743084704430 minus -0.17?\nAnswer: -3743084704429.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**3 + 87114*x**2 + 39*x + 276074286.\nAnswer: -6*x**2 + 174228*x + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115794 and 23121.\nAnswer: 42496398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 - 130. What are the prime factors of -3*((1 - c) + 292\/(-3))?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 19*l - 223 = -863 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -5.8. Let n = h + -5.05. Let u = n + 0.050002. What is u rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 5*z**2 + 0*z**2 - 4*z**2. Let k(a) = 2*a**2. Give x(k(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - 603*u + 30540. What is b(40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2702991 or 5\/7?\nAnswer: -2702991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-25)\/500)\/1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -89 (c) -4 (d) -0.03 (e) 2\/11 (f) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200710*h + 401417*h - 200704*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -6) + 8 + 56 + -6 + -7?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -42124?\nAnswer: -42122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*z**3 - 18*z + 46*z - 17*z - 19*z.\nAnswer: -86*z**3 - 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 11*f**2 - 11*f - 19. Let a be o(12). Let z be (7\/(-2))\/((-2)\/4). Let q = z + a. Solve q = 2*i + 4 + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 23*d - 17. Suppose 0 = -363*p + 550 + 1628. Let m(x) = -11*x + 8. Calculate p*t(s) + 13*m(s).\nAnswer: -5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237670 - -237691. Let a = -441 - -619. Suppose a = 3*p - 197. Calculate the remainder when p is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 9. Let z(c) = -5*c**2 + 9. Suppose 4*f - 34 = 2*g, 0 = -f + 29*g - 30*g + 1. Calculate f*x(t) + 5*z(t).\nAnswer: -t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -1 - 1064\/(-70)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3213690 from -0.2.\nAnswer: -3213690.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 21 + 22)*(-1 - 2 + 1)*(-337 + 337 + 26*s**2).\nAnswer: -624*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d + 482 - 557. Let t(b) = -2*b - 1. Let r(q) = -5*q + q - 2 + 4 + 8*q. Calculate d*t(j) - 2*r(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-225)\/(-189) + (-18)\/(-126))\/(16204\/(-6)). Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54802?\nAnswer: 2, 11, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -225.3 + 225. Let p = 18 + -22. What is the third smallest value in r, -2\/7, p, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3607.979ml?\nAnswer: 3.607979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 84 - 195 + 86 - 7*h.\nAnswer: -7*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2062, 4122, 6182, 8242, 10302, 12362?\nAnswer: 14422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186635 and 3423.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*z - 13. Suppose -9 = -z*n - 3*v + 1, n - 5*v = 2. Let f be (2\/6)\/(n\/(-4)). Which is greater: 0.2 or f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 25*h = -9417800000. Round h to the nearest 1000000.\nAnswer: -304000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:41 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 2*d**2 - 10. What is l(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 5 + 5. Let n(q) = -q**2. Let z(b) = -4*f(b) + 3*n(b). Let h(k) = 6*k**2. Determine h(z(o)).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/22 + (-41)\/(-41).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -6. Let n(y) = y + 1. Let i be n(0). What is the remainder when 2\/w + (20 - i) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -44. Suppose 0 = g*u - 4*u - 25. Suppose s - 498 = -u*s. What are the prime factors of s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 4534*a + 21. Let o(h) = -907*h - 4. Calculate 2*l(v) + 11*o(v).\nAnswer: -2*v**2 - 909*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34603 rounded to 3 decimal places?\nAnswer: -0.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -8, 1386*k + 4 = 696*k + 691*k + 4*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4) + -1)*2. Let y be x\/(-1 + (-8)\/(-10)). Suppose -5*s + 20 = y*t - 30, 2*t - 16 = -s. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 12, u: 2, l: 3}. Give prob of sequence llw.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.00000061 + -11. What is r rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-5))\/(1\/35). Suppose g = 5*k - 2. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlzvzlhlrrzzlvhlrhl. What is prob of picking 2 z and 1 r?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -1\/7*m**2 + 1686\/7*m - 710649\/7 = 0?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -466 - -468. Let j = -316\/465 - -2\/155. Which is the smallest value? (a) j (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 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 s(z) = 2*z**3 + 41*z**2 - 18*z + 38. Suppose -229*d - 3991 = -835*d - 16717. Give s(d).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*u + 291*u + 325*u + 4*u**3 - 34*u**3 + 55*u**3.\nAnswer: 25*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54521 is divided by 7679?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -124, -167, -190, -187, -152?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 - -1.4. Put -5, s, 0.1 in ascending order.\nAnswer: -5, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 5. Find the first derivative of w - 4*f + 10*f + 4*f + 4*f wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 845860300 to the nearest one hundred thousand.\nAnswer: 845900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 169d7?\nAnswer: 169d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676*g**3 + 12925588*g**2 + 3977152*g + 305936 = 0. Calculate g.\nAnswer: -2\/13, 19121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 32) + (2 + 11 - 6 - 2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 4*h - 5*h - 70 - 12*h.\nAnswer: -26*h - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5\/9 + 14*b**4\/3 + 187*b**3\/9 - 40*b**2\/3 - 92*b = 0?\nAnswer: -3, 0, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*m - 194 = 0, -3*j + m + 112 = 3*m. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f = 26*f + 39*f - 492 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3\/292 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/(-3))\/(38\/(-57)). Solve -k - 7 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2424177 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 6 = 20*u. Suppose -3*w + 5 = 8. Is 14 a factor of (7 - 47)*w*u + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487.7492 centuries in months?\nAnswer: 585299.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 3728576\/119 - 12\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-3 - 0)\/15. Let n = -13 + 16. Sort 0.27, n, t in ascending order.\nAnswer: t, 0.27, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 38*i**2 - 68*i + 147. Let a be u(-36). Let k = -4 - -7. Is k at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 53. Let v = 0 - 0. Suppose v = -l - z*l + 265. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3 - 15304*i**2 + 15302*i = 0?\nAnswer: 0, 1, 7651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 3\/4, -2\/13.\nAnswer: -2\/13, -0.02, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -15191.\nAnswer: 1\/15191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.7. Let j = 73.964 - 74. Let k = -4.964 + j. Which is the second biggest value? (a) 0.1 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxeeafjufj. Give prob of picking 1 x and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -17, 207, -5 in ascending order.\nAnswer: -17, -5, -2, 2, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2133*k + 1. Let w be x(7). Let b = 38070 - w. What is b rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 - y**2 - 4*y**2)*(0*y - 2*y + y) + 963*y**3 - 488*y**3 - 18*y - 541*y**3 as b*y + z*y**3 + d + g*y**2 and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1)\/(t\/((t\/(t**(-11\/2)\/t))\/t)))\/(t*(t*t**(2\/7))\/t*t)**(-16) assuming t is positive.\nAnswer: t**(589\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30025775 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (870\/(-174))\/(2\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 i, and 1 n when four letters picked without replacement from ynynninnnniynnyyinpn.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a factor of 161350711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxggxxgxgxxe. What is prob of picking 1 x and 1 g?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 585 and 50?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -70. Let j be (-7)\/(a\/(-8))*-3. Suppose j*d = x - 114, -2*d = -4*x + d + 391. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121a (base 12) in base 13?\nAnswer: c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3858319474 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101122001201 + -2?\nAnswer: -101122001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b - 2. Let c be r(3). Let p = -26 + 51\/2. Put 3, c, p in increasing order.\nAnswer: p, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1624, 1588, 1522, 1420, 1276, 1084, 838?\n\"Answer: -s**3 - 9*s**2 - 2*s + 1636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*u**6 + 47589*i*u**3 - 2*i - 2*u**3 + 12*u**2 + 5986 wrt u?\nAnswer: 120*i*u**3 + 285534*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-2)\/(24\/(-9))). Let f(x) = -x**2 - 5*x - 6. Let q be f(g). Calculate the common denominator of q\/(-2) - (-129)\/(-14) and -3\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9396 + -9362. What is the greatest common factor of 3145 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - t**3 + 5*t**3 + (t**2 + 2*t**2 - 4*t**2)*((-1 + 2 - 2)*(-1 - t + 1) + t + 3 - 3) to v*t**3 + f*t**2 + k*t + m and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 205460819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*k**2 + 24*k**2 + 16*k**2 + 18*k**2 in the form h*k**2 + t*k + u and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047297184?\nAnswer: 2, 63978037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25952.7*-0.642.\nAnswer: -16661.6334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from onooootouoootnto.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 7*k**2 - 3*k + 7. Let l be z(5). Let f = l + -37. Let u = f + 19. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 844\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 4*n**4 - 2*n**4 - 3*n**4 - 3*n**2 + 7*n**4 as w*n**2 + c*n**3 + p + o*n**4 + s*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -3 - ((20 - (0 - -36)) + 34)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109189869?\nAnswer: 1109189869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 7845.\nAnswer: 141210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/28 + (-25)\/(-4). Let j = v + -6. Solve -4*x + 0*x + 16 = j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7888 smaller than -7877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11141 - 3?\nAnswer: -11144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*r = 25, 4*s - 69 = 3*r - 53 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 11. Determine c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18 = -2*w, -5*m = -4*w - 1 + 11. Suppose -296 = -m*l - 4*g, g - 326 - 280 = -4*l. Calculate the greatest common factor of 190 and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*c - 27, -31*q + 34*q - c + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n - 2*w = 1694, -2*w - 419 = n. Let u be (-4)\/34 - (-460)\/n. Let c = -10 - -15. What is the nearest to 2\/7 in c, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 5*n - 5. Let o be i(-1). Which is the closest to 3\/2? (a) 1\/5 (b) -1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5376\/5 - 1728\/5*g - 6\/5*g**3 - 36*g**2.\nAnswer: -6*(g + 8)**2*(g + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -690945?\nAnswer: -414567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) -1\/6 (c) -5 (d) 3 (e) 34446\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -100. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b - 72. Let j(o) = b*o + 31*o - 1 - 101*o + 35*o. Let z(t) = t**2 + 10*t + 10. Let m be z(-8). Determine j(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/70*(-50)\/(-325).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -24061?\nAnswer: 24060.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8016 + -7901. What is the biggest value in 0.4, 1\/4, 5, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6798 by 6.\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 + 4176*u**2 - 16652*u + 12480 = 0. What is u?\nAnswer: 1, 3, 1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a - 2. What is l(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 7) in base 14?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -289, -640, -1131, -1762?\nAnswer: -2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 10 = 0, t - 4 = -f + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 24*a**2 + 96*a + 1675. Determine b(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 2*v - 8. Let u be m(-5). Suppose -4 = 3*j - u*j. Let f be (12 + -9)\/((18\/(-4))\/(-3)). Solve -w - j = -f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -17*r**4\/12 - 2*r. Let g(z) be the first derivative of 6*z**2 + 5941. Determine h(g(b)).\nAnswer: -2448*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000933 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 0.3 (c) 12.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 261 + 131404286832.\nAnswer: 131404287093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-703)\/(-111) + (-3 - 9))\/((-1)\/(-3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**4\/4 - 17*t**3 + 867*t**2\/2 - t - 188. Suppose m(j) = 0. What is j?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3 - 470576*n**2 - 941140*n - 470568 = 0. Calculate n.\nAnswer: -117642, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) -81\/2 (d) -16.61 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7731 is divided by 775?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - b - 5*b + (4*b + 0*b + 6*b)*(-2 - 4 + 7).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 550 + 3695. Suppose 4*l - z = 3*h, 3*h - 1762 = 2*l - 7*l. Calculate the remainder when l is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*v**2 - 2)*(0*v - 17*v - 16*v) + 0*v**2 + 0*v**2 + 3*v**3 + 0*v**3 - 4*v**3 + 3*v**3.\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1260456 and -55\/4.\nAnswer: 1260456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828096 to the power of 1\/2, to the nearest integer?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-94)\/(-5) + (20\/25)\/4. Suppose 5*b - y = -5*w + 26, 0 = 4*w + b - 21. Solve w*s = u - 10, -3*u = s + u + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 78105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*j - 54*j - 2*j**2 - 4*j**4 + (-2*j - j + 4*j)*(0*j**3 - 3*j**3 + j**3) - 2*j**4 - 2*j**2 + 2*j**2.\nAnswer: -8*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10711211551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10040406791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 7. Let p = 3 - 0. Let w be y(p). Let x be (-1)\/w + (-27)\/(-12). Solve 5*a + 15 = 3*a - v, 2*a + 20 = -x*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -322?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 44, -5, 3 in increasing order.\nAnswer: -5, 3, 4, 6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (3*(sqrt(91) + sqrt(91) + 5*sqrt(91)*3 + sqrt(91)))\/(-1*sqrt(7)*5 + sqrt(56)\/(sqrt(32)\/sqrt(4))).\nAnswer: -27*sqrt(13)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.77 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Suppose -3*n + 2*n = m, v - n + 9 = 0. Let a = v - -30. Solve -3*s = -2*u - a, 2*u + 2*s - 7*s = -27 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 4, 11 in descending order.\nAnswer: 127, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*l - 5*l + 433 - 255 - 177.\nAnswer: -30*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsslss. Give prob of picking 2 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:17 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10 + 3 + 605*q + 4 + 1084*q.\nAnswer: 1689*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 625683829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2) + 1)*0. Suppose k = 3*n, -5*y + 3*n - 12 = -y. Let c be (-3)\/y + (-68)\/84. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92 - -89)\/(48\/(-39) - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 - 6*b + 9. Let d(y) = 21*y**2 + 42*y - 63. Let z(n) = 2*d(n) + 15*r(n). Factor z(j).\nAnswer: -3*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + 7 + (9 - 19) + 6 + -6.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - a = -4, a + 1 = -5*n + 3*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 5*g**2 - 6*g - 19. Let o be k(-6). Does 12 divide o\/(-1) + ((-160)\/(-4))\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1902162 and 1896.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -288*l**2 - 310. Let z(r) = 3*r**2. Give h(z(i)).\nAnswer: -1728*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 0, -37339 in descending order.\nAnswer: 0, -79, -37339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 98. What are the prime factors of r?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13352 divided by 1669.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -684.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -211 (b) -174 (c) -2 (d) 1\/7 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.36? (a) 2.64 (b) 0.141 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4114 = -60*u + 1294 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7753\/915530 - 42\/2255. Calculate the common denominator of s and 7\/290.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*(-1)\/2*57\/(-1197)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17378851.8 rounded to the nearest one thousand?\nAnswer: -17379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499057, 499059, 499061, 499063, 499065?\nAnswer: 499067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 14*x + 15. Let i be z(-14). Suppose 0*t - 5*t + i = 0. Find the third derivative of -2*w**3 + w**2 + w**3 + 7*w**3 + 3*w**t wrt w.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1440\/17 or -1\/463?\nAnswer: 1440\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 5*b, 3*n - 31 = -4*b. Let d = -167 - -172. Let c be 49\/5 + (-2)\/(-10). Solve c + n = d*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5 + (-23)\/(-5). Let m(d) = -3*d**2 - 1. Let i(a) = -13*a**2 + 5*a - 7. Let z(l) = i(l) - 4*m(l). Calculate z(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132573 is divided by 44159.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*v - 20*v + 37 + 1643 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c - 5 + 2*c + 7*c - c**2 - c**3 - 4*c**3 + 2*c**2 in the form z + a*c + g*c**3 + f*c**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344105985 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x**2 - 2*x**2 - 4*x**2)*(-4*x + 4*x + 4*x**2) - 2*x**4 + 0*x**3 - x**4 - x**3 to j*x + w*x**2 + y*x**3 + f*x**4 + a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**3\/6 - m**2\/2 - 2*m. Let k be d(-3). Let z = k - -1. What is the greatest common factor of z and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 246470721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21400 is divided by 102?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1516 (base 11) to base 6\nAnswer: 13013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1011011011101 (base 2) to base 10\nAnswer: 5853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 20*m**2 + 20*m + 8. What is u(-19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 561*n**3 + 26*n**2*y + 189144*y wrt n.\nAnswer: 1683*n**2 + 52*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + 40. Let s = f - 33. Let m = s + -53. Solve m*q + 37 = -4*j, -4*j = -3*q - 5*j - 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -0.44. Let g = -0.5 - x. Which is greater: 4\/3 or g?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*q + 2*q**2 + 8687 - 8680 + 169*q + 229*q as f*q + x*q**2 + r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) + 5\/2. Suppose 3*g + u*a + 5 = 1, 0 = -4*g + 4*a + 8. Solve -2*s - q = 1, s + g*q + 13 = -3*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 4*z**2 + 2*z**2)*(-1 + 1 - 2)*(3 + 0 - 1).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21248, 42483, 63694, 84875, 106020?\nAnswer: 127123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 80773123, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -221*s + 220*s - 150. Calculate the common denominator of (-1382)\/s - (-5 + 13) and -55\/7.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26746674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 38\/8. Suppose 23 = 3*m + i. What is the highest common factor of 42 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 15*d + 32*d - 76 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -17817?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**28\/c**24)\/(c\/c**19)**21 assuming c is positive.\nAnswer: c**382","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 * 1\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/4727 - -181273\/2911832. What is the common denominator of 13\/12 and i?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k - 162. Let h be i(-11). Let g be h + (-4)\/(-2) - (-156)\/27. Put -0.5, 0.4, -2, g in descending order.\nAnswer: 0.4, g, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 27*p - 76. Give y(-29).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183 - -582. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 9*a**2 + 4*a - 8. Let p be g(9). Let y be ((-1946)\/(-4))\/(63\/p). Let o = 216 - y. What is the second biggest value in 1, 4, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/14*14\/4. Suppose 5*u = -5*j + 50, 5 - 21 = -4*j. What is the greatest common divisor of n and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34001 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68790692.\nAnswer: 2, 349, 49277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.176 - 3.2. Let f = v + 3.024. Sort -1\/7, f, -0.06 in decreasing order.\nAnswer: f, -0.06, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 - 49. Let j = 118 - k. Let f = 52 - j. Does 5 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**12*r))\/r)\/r)**(-10) assuming r is positive.\nAnswer: r**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18129080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220111010 (base 3) in base 9?\nAnswer: 56433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -58, -63, -72, -85?\n\"Answer: -2*c**2 + c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/20)\/((-28)\/((-2380)\/(-459))).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(8\/5) - (-86)\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/15, 1351, -0.1, -2?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/238 - (-3396)\/34. Solve 12*q - 136 = -t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -q - 11, 4719*i + 1 = -3*q + 4718*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2\/(-16) - (-186016)\/512*(-20)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3070 and 4912.\nAnswer: 24560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 0, -93 in ascending order.\nAnswer: -93, 0, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 20 = -2. Suppose 0 = 5*k - 5 - 10, m - 2*k = -49. Let u = m - -34. Is x > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 35 + -121 + 106\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*-2 - (-1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15869975 and 1100?\nAnswer: 63479900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 6*l - 5. Let b = 41 - 36. Let y be 21\/5 - b\/25. Let q be z(y). Solve q*x + x = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1152990312 to the nearest integer?\nAnswer: 33956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2832 and 39888?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = 25*k + 108 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)*d)**(2\/3)*(d**(-2\/7))**11)\/(((d*d**0)\/d*d)**(-1\/4)\/(d**0*d\/(d\/(d*(d*d**(-4))\/d*d)*d))) assuming d is positive.\nAnswer: d**(-769\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45296, -181240, -407814, -725018, -1132852, -1631316?\n\"Answer: -45315*x**2 + x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.04, -15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.9 + -26.3. Which is the closest to 0.1? (a) 1 (b) -1.2 (c) o (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-17\/3)*r*r**3)\/(r**(-7\/8)*r*r*r**16\/r))**(-4\/19) assuming r is positive.\nAnswer: r**(427\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792589 is divided by 1321?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -7*k**2\/2 + 155*k + 68. Does 31 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 633*z**3 - 319*z**3 - z**2 - 42 + 42 - 309*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 5. Let f(x) be the third derivative of -1\/60*x**5 + 0 + 1\/8*x**4 + 0*x - 5*x**2 - 1\/6*x**3. Let u(j) = j - 1. Calculate k*f(b) - u(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3707612510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -321071.2 + -2391912.\nAnswer: -2712983.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -122, -241, -358, -473, -586, -697?\n\"Answer: r**2 - 122*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u - 54*u - 29 = -3*k - 127*u, 4*k - 3*u - 48 = -0*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46\/75 - -103\/25. Find the common denominator of 121\/12 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 29*g - 1741. What is j(60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2682.69 - 2645. Let i = 1.54 + -37.74. Let n = i + q. Round n to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1111.2 - -1110.68895. Round r to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*r - 147 - r**5 + 147 - 14*r wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*m - 4 = 321*m - 2*f, -4*f = 5*m - 8. Let a be 24\/116 - 6\/27. Which is bigger: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -1106, -1745, -2490, -3377, -4442, -5721, -7250?\nAnswer: -9065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54*(-28)\/(-6)*291\/6111.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/12)\/((-32)\/(-192))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 1 + 1 + (4 + 0 - 5)*(-n + 0*n + 0*n))*(n**3 + 3*n**3 - 2*n**3 + (-n + 4*n - n)*(-2*n**2 + 3*n**2 - 3*n**2)).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11553777 is divided by 3851252.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4410012 + 215?\nAnswer: 4410231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(1\/11)))\/(z*z\/(z\/z**(-18\/13)))*z**(2\/17)*z**33 assuming z is positive.\nAnswer: z**(81665\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 9. Let a be p\/2*(-48)\/6. Suppose -a*z = 5*o - 20, o + 3*z - 9 = 6. Solve o*u - 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -94 - (60 + -81).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18117549.\nAnswer: 3, 61, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11594*j + 15*j**3 + 11594*j.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:03 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4427 + 5738. Solve -n*j = -1317*j - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 259?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0383849ml to litres.\nAnswer: 0.0000383849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(57)\/sqrt(3) + -2 - sqrt(228)\/sqrt(108)*3) + (5*(sqrt(228) - -2*sqrt(228) - sqrt(228) - sqrt(228)))\/(1*sqrt(192)))**2.\nAnswer: -17*sqrt(19) + 5555\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 115*z + 22. Let w(r) = 39*r + 8. Determine 6*s(m) - 17*w(m).\nAnswer: 27*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 33990*l**3 - l**2 - 67972*l**3 + 2*l**4 + 8 + 33986*l**3 as k*l + x*l**4 + j + p*l**2 + w*l**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 18 - 39 = 0. Suppose -w = -5*c - 4. Let f = c + -3. Is -1 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = d + 1 - 0, 3*d = 4*k + 25. Suppose 28 = -d*s + 10*s. What is the second smallest value in -1\/4, s, 0.02, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 240278619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494 by -13.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*d**3\/9 + 50*d**2\/9 - 38*d\/9 + 4\/9 = 0. Calculate d.\nAnswer: 1\/8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 290.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104800 and 109247450?\nAnswer: 6550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 651794261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d - 120. What is i(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 + 0 = 0. Let i = 3 - w. Let y(x) = -x**2 - 14*x - 4. Let g be y(-13). Solve -h = i*h - g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 96204, 384941, 866206, 1539999, 2406320, 3465169?\n\"Answer: 96264*z**2 - 55*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2515, 2458, 2369, 2248, 2095?\n\"Answer: -16*n**2 - 9*n + 2540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 2)*-15*-1. Suppose 2*s + 10 = 0, 5*r - 5 = -3*s + t. Suppose -3*j + b + 16 - 1 = 0, -5*b = -5*j + 35. Solve -j*g + 13 = -r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1869\/(-1869)*-9*4\/(-4)*1\/(-7).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65*(147136\/(-1573))\/(-152)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 7) to base 11\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 9:24 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10 = 0, 4*s - 675 = -s + 5*z. Let w = s + 96. What are the prime factors of w?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139835737*h**2 + 8346*h + 17949.\nAnswer: 279671474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7112 and 1684648?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**3 - 3*g**2 - g - 9. Let v be f(8). Let n = 20375\/9 + v. Calculate the common denominator of n and 21\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 451\/22)\/((-3)\/6). Solve q = 40 - x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(9\/7)\/(z\/z**(-2\/35))*(z*z*z**(-3)*z*z*z)**(16\/3) assuming z is positive.\nAnswer: z**(1144\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v**2. Let r(t) = 6*t**2. Determine r(i(m)).\nAnswer: 864*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 403533771*p + 112009395 wrt p?\nAnswer: 403533771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 516d4 (base 16) in base 4?\nAnswer: 1101123110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2743 + 2763. Solve -4*y + 4*r = y - d, -4*r = 2*y + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581391?\nAnswer: 2581391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-66))\/((-6)\/48*-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 7*x + x + 4*x in the form i*x + u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (3478 - -3) + (4 - 3)*2 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23592 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68 - 3a09a?\nAnswer: -3a146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.99 (b) 0.3 (c) -120 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5. Suppose -n + 0*o = 3*o + 16, -4*o - 24 = 2*n. Put n, 2, i in descending order.\nAnswer: 2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/(-5 + 208\/40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 12*l**2 + 19*l - 2. Let x be o(-13). Let r = x + 10448\/25. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*d + v = -52*d + 7, -12*d + v = -63 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/59, 2, 5, -0.11, 0.026 in decreasing order.\nAnswer: 5, 2, 2\/59, 0.026, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Suppose 5*l - 21 = -s, s - 2*s + l - 3 = p. Which is the closest to s? (a) 0.4 (b) -0.3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q + 90*q + 70 = -2*t, 0 = -q + 3*t - 10 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*b + 6*b. Sort -5, 1, b in descending order.\nAnswer: b, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34454 and 1798370?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 12*h + 1. Suppose 9 = 3*y + 66. Let s be k(y). Let c = s - -328. What is the remainder when c is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Let l(b) = 3*b**2 + 15*b + 15. Let j = -6 + 11. Let p = 10 + j. Calculate p*u(w) + l(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -30*o**2. Let k(w) = -521*w + 1057*w - 527*w. What is k(l(n))?\nAnswer: -270*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/9, 1, -4\/3, -23?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -24)\/((-909)\/6868)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 164*j**3 + 2*j**2 - 140*j - 11861086 wrt j?\nAnswer: 492*j**2 + 4*j - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-7 - 5) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/6)\/(-7 + 208\/24 - 1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 114 = 9*r. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*w + 4, 5*z - 3 + 2 = -3*w. Solve z*j = 6*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/58 in 0, 2\/25, 4, -3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 759442981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = 2*m - 12, 2*m - 6 = 2*p. Calculate the least common multiple of 9776 and m.\nAnswer: 29328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4) + -6 + 45 + -38.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 3*g + 8. Let w be f(4). Suppose -10 = 2*m + 4*t, -m + w*t + t + 23 = 0. Suppose 8*a - m*a - 265 = 0. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/13636843 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n + 10. Let a(l) = -2*l + 3. Let g(t) = 20*a(t) - 6*o(t). Let d be g(-1). Suppose -4*c = 5*u - 25, -c + 1 = d*u - 19. Solve c = 2*q - 2 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000107141 to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 18717308*z**2 - 74869256*z + 74869264.\nAnswer: 2*(z - 2)**2*(z + 9358658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 e when three letters picked without replacement from rllelllrelrlllllelle?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-50)\/(-2))\/(-4*3\/(-12)). Solve -q - 10 = -7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.177 + 7.\nAnswer: 7.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 divided by -17130.\nAnswer: -77\/5710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3864550838.\nAnswer: 2, 8111, 238229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3855\/7, 0, 0.2, 3\/4, -13\/6 in descending order.\nAnswer: 3\/4, 0.2, 0, -13\/6, -3855\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 22 + 79*l**2 + 34*l - 76*l**2 + 19*l. Is x(-23) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 divided by 23.\nAnswer: 388\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16 = -4*q. Let r be (-2)\/4 + (-1)\/(-2). Solve -p - q*p - 25 = r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1119 * 2655\nAnswer: 2970945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -11*o**6\/120 - 49*o**3\/2 + 187*o**2. Let p(r) be the first derivative of q(r). Let g(j) = 4*j**2. Give g(p(m)).\nAnswer: 4356*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*((2 - 1 + 0)*(-2 - 2 + 3) - 4 + 0 + 2 + 0 + 4 - 3 - 3 + 3 - 1)*(-30*d - 1542 + 1542).\nAnswer: -90*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -54. Let l = 31\/58 + -1\/29. What is the third biggest value in l, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71.484 + -0.484. Which is the closest to -2? (a) s (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/36*180\/(-40)*(-2)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -55, -81, -107, -133?\n\"Answer: -26*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) -1\/5 (c) 4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*b + 3*b - 55, -b + 70 = 5*r. Suppose -2 = -4*o - 2*c - 0, 0 = -5*c - r. Let p(l) = 23*l**o - 234*l + 234*l. Let y(u) = u. Give p(y(w)).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 81, 677, 2293, 5439, 10625, 18361, 29157, 43523?\n\"Answer: 85*j**3 + j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4072198\nAnswer: 5\/4072198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 7. Let q be 4\/10 + w\/35. Suppose 4 - 1 = -p. Which is the second biggest value? (a) q (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528125181 to the power of 1\/3, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1728164375\/2302 + -750723. What is the common denominator of m and 91\/10?\nAnswer: 11510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - (-162)\/30) + 3316\/10 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 4. Suppose 2*c = 21 - 29. Let d(s) = 5 - 4 - 2*s + 2 + 0. Let m(h) = c*d(h) + 3*i(h). Let a(p) = 11*p. Give a(m(v)).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8085731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.9. Let d = n + 4. Let t = -5 + d. Put -5, -2\/13, t in decreasing order.\nAnswer: -2\/13, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (59\/(-3) + 18)\/((-10)\/(-24)). Let s(u) = 4*u - 1. Determine s(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = l - 0*l - 12, 0 = 4*f + 5*l + 35. Sort 5, f, 26 in increasing order.\nAnswer: f, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j. Let r(p) = 179*p + 9. Let y(t) = 172*t + 12. Let h(u) = -8*r(u) + 6*y(u). Determine h(l(f)).\nAnswer: -1200*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 209*v - 430415 - 208707. Calculate the least common multiple of v and 2.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from cuurcjrnjjjc?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 6*m + 5. Let u be g(-6). Suppose -3*h + h = u*o - 1178, -4 = 4*h. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74487 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let w(l) = 47822*l**2 - 127*l. What is w(j(g))?\nAnswer: 47822*g**4 + 127*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/65 - (-1454)\/13?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/60 - o**4\/24 - 2*o**2. Let h be y(3). Suppose -2 = d - 2*d. Solve -d*r - 3*s + 4 = 0, -4*s - 2 = -4*r + h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, 115, 429, 1047, 2071, 3603, 5745, 8599?\n\"Answer: 17*y**3 - y**2 - 4*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -618731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4289266 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = 5*f + 4*w, 2*f - 1218*w = -1217*w + 41 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12592849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 867258787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1. Let d(x) = x + 6. Let o(c) = d(c) - 2*m(c). What are the prime factors of o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k + 16. Calculate the remainder when j(8) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + 395. Let q = -2558\/5 + p. Let 2\/5 + 16\/5*o + q*o**2 = 0. What is o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -773, -816, -859, -902, -945?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 6*z. Let t be 34\/(-4) + (-10)\/20. Let o be 1 - (t + 5 + 0). Determine v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 8784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355847797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 2. Let z be u(-6). Let i(h) = 2*h - 6. Let r be i(z). Let g(p) = p + 0*p + 2 - r*p - 3*p. Let d(s) = -7*s + 4. Determine 3*d(m) - 5*g(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 7*k**2 + 10*k - 5. Let d be q(-6). Let s = 29 + d. Let g be ((1 - s) + -1)\/(3\/(-1)). Solve g = 4*i + y + 20, -y + 2 = -i - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:47 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 11*v**3 - 33*v**2 + 5*v + 50.\nAnswer: -(v - 5)**2*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 449 - 181 = 0. Let w = -1 + -6. Let u be (4\/w)\/(m\/35). Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -22, 7, -4.\nAnswer: -22, -4, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0) + (0 - 2). Solve 6 = p + u, -18 = -5*p + u - c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 637*q - 1997. Let v(i) = 30*i - 1. Give x(v(p)).\nAnswer: 19110*p - 2634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2286 and -5\/8?\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 12 = 4*d + 7*y, 4*y - 6 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192782 is divided by 605?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22957, -22973, -22991, -23011, -23033, -23057, -23083?\n\"Answer: -h**2 - 13*h - 22943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 48. Let p = -434 - -486. Let u(s) = 22*s + 31*s - p*s. What is u(v(m))?\nAnswer: 2*m - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 8*y + 11 - 2*y**2 + 3*y + 11*y. Let w be z(-3). Suppose 5*p = w*f + 135, -8 - 74 = -3*p + f. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -549574, -1099123, -1648662, -2198191?\n\"Answer: 5*k**2 - 549564*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(3*sqrt(88) + sqrt(88)) - sqrt(88))\/(sqrt(8) - (2*sqrt(56))\/sqrt(7)))**2 + ((sqrt(1100) + -1)*3 - sqrt(33)\/(6*sqrt(6)\/sqrt(2)))**2.\nAnswer: -179*sqrt(11) + 372179\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**2 - 15*p**2 + 7*p**2)*(0 + 2 + 0).\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11298636750 and 208.\nAnswer: -11298636542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 7:47 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/868 and -31\/1169?\nAnswer: 144956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -18*n + 39. Let q be (108\/126)\/(9\/21). Let w be k(q). Calculate the greatest common factor of 75 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 8*y**2 - 8*y - 5. Let h be n(-7). Suppose 5*r = -5, -2*k + h*r = 2*k - 26. Calculate the remainder when (-1 - -2) + 1 + 8 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j - 2. Let k(x) = 128*x**2 - 4*x + 3282. Let c(h) = -2*f(h) + k(h). Find the first derivative of c(i) wrt i.\nAnswer: -6*i**2 + 256*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f = -55*f - 105*f + 70*f + 592 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*i - 17, -7*i = -2*i + y + 25. Let k be i*90\/(-4) + (22 - 22). Calculate the highest common divisor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 50 - (-46 - -59 - (28 - 5))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1668, -1618, -1568, -1518, -1468?\n\"Answer: 50*r - 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**(3\/13)*s\/(s\/(s*s\/(s\/s**(-25))))*s*s*s**(-2)*s*s**(-5\/6) assuming s is positive.\nAnswer: s**(-1685\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2 - 33*g - 21*g**2 + 4 - 4 + 17*g**2. Let r be d(-8). Solve r = 4*k - 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49369.3044 plus -0.4?\nAnswer: -49369.7044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/24*38 - 8\/(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13020 - -41?\nAnswer: -12424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6224 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 15 = 3*w, 5*v - 12 = -2*w - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204 - 129. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61812 divided by 51\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10147482, 20294957, 30442428, 40589895?\n\"Answer: -2*o**2 + 10147481*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22974.45 take away 5?\nAnswer: -22979.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -235, -354?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*1346721\nAnswer: 2693442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4685 and 81\/290.\nAnswer: 271730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 0.585.\nAnswer: 6.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24747824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.895 + -425.895. Let u = -424.9342 - g. What is u rounded to 3 dps?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekkweeewwweeew. What is prob of sequence eew?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Let h = -1 + b. Suppose 4*t + 6276 = 2*q, -2*q = -h*t + 2*q - 3132. Round t to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 divided by -3?\nAnswer: -362\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2406 and -558.\nAnswer: -557.7594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - 24*o. Let q(d) be the first derivative of -d**3\/3 + 4*d**2 - 6. Let z(s) = 7*q(s) + 2*w(s). What is the second derivative of z(y) wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:27 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (174\/(-8))\/(16\/60*6255\/2224)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**2 - 40*k + 60 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 9. Which is bigger: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11362650*i - 2*i**3 + 11362664*i + 5*i**3.\nAnswer: 3*i**3 + 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 6*z**2 + 3*z - 9. Give w(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*n + 2844, 2*n - 3*n - 3*p + 719 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4228638 by -6.\nAnswer: 704773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -461 - -464. Suppose y*s + 8 + 4 = 0, 4*s + 1149 = g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 40*y + 474. Determine w(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5 + 26*k**4 - 97554*k**3 - 488114*k**2 - 781136*k - 390600 = 0. What is k?\nAnswer: -225, -2, -1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1189, 2, 7, 0.2, -12 in descending order.\nAnswer: 1189, 7, 2, 0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -345, -345, -353, -375, -417, -485, -585, -723?\n\"Answer: -y**3 + 2*y**2 + y - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 5 - 5 - 3*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a = -79784 + 79121 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22731, -23078, -23657, -24468, -25511, -26786?\n\"Answer: -116*z**2 + z - 22616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5 + 12792*m**4 - 3272060*m**3 - 3387168*m**2 + 26125072*m + 39417792 = 0 for m.\nAnswer: -3436, -2, 3, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23050?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 - (8 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4 + 4*f**3 - 174*f**2 - 1072*f - 1760 = 0. What is f?\nAnswer: -5, -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4620)\/7392)\/((-15)\/216)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/30*-2 - 702\/195. Which is the second biggest value? (a) 0 (b) -0.086 (c) o (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 760542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 814?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -19. Let y = 56 + q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 6*l**2 + 12*l + 89. Let f be t(-5). What is the nearest to -3 in f, -0.092, 0.1?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 1 + 186 + (1 - -10)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8673, -8672, -8671?\nAnswer: -8670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrix when four letters picked without replacement from xxxryikrrirri.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 12. Let y = c + -2. Let l = 2 - 2. Is y != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -28*n**2 - 7*n - 3. Let w be l(-2). Let i = 301\/3 + w. What is the second biggest value in 0.1, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/30 - t**5\/20 - t**4\/8 - 4*t**2. Suppose 4 = -v - v. Let b be g(v). What is the greatest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212216 at most as big as -1.836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554137498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 435. Let r = t + -88. Calculate the highest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/24 + 5*b**3\/12 - 3*b**2\/2 + 67*b + 2. Determine u so that g(u) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -110, 1177?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a**2 - 7*a**2 - 2*a**2 + 3*a**2 + 0*a**2 - a**2 + (-3*a - 4*a + 4*a)*(2*a + 0 + 0) - 45*a + 45*a - 34*a**2 to z*a**2 + o + f*a and give z.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 733.21, 6, 2\/7 in descending order.\nAnswer: 733.21, 6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 7 + 0*d**4 + 2*d + 0*d**2 - 1\/5*d**5 + 0*d**3 + 2\/21*d**7 + 0*d**6. Let k(q) be the first derivative of t(q). Factor k(r).\nAnswer: 4*r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*y - 2. Let k(g) = -g**2 + 5*g. Let i be k(4). Suppose y*b - 6 - 8 = -i*z, 0 = z + 1. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let i(v) = -287*v + 3. Let o(n) = -1432*n + 16. Let y(f) = -16*i(f) + 3*o(f). Calculate y(c(q)).\nAnswer: -592*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/25445 + -9078778\/25445. Suppose -916 = -4*d + 516. Let v = m + d. Sort -2, -5, v in decreasing order.\nAnswer: v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 21 - 5*q**2 + 2 + 3*q**2 + 54.\nAnswer: -2*q**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 9:05 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -0.3, 0.12, -12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -122 (b) -1\/6 (c) -0.5 (d) 396\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.599 - 1.61687. What is l rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1932102 by 58.\nAnswer: 966051\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 2*i**2 + 28*i**3 + 5*i**2 - 2*i**2.\nAnswer: 28*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.025 - 0.375. Let g = -18 - -17.7. Which is the closest to -2? (a) g (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 6)*(-8 + 9 + 9 + (-1 + 3 - 1)*(5 - 4 + 2) - 2 + 3 - 3)*(2*k**4 - k**4 - 2*k**4) to c*k**3 + d + p*k + x*k**2 + u*k**4 and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o**5*s - 6218*o**4*s**3 + o*s**3 + 32*o*s**2 - 137*o*s wrt o.\nAnswer: -120*o**3*s - 74616*o**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68.92 + 68.2. Let v = 1.28 - q. Suppose -2*k - 60 = 3*k. Sort v, k, -2\/7 in decreasing order.\nAnswer: v, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 4:49 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40695, -81331, -121969, -162609, -203251?\nAnswer: -243895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17024 and 801472.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792351 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37455 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 18. Suppose 3*v = 4 + p. Let z = -11 + 15. What is the lowest common multiple of v and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/91)\/(-1)*(-2)\/1. What is the nearest to 0.3 in -0.03, w, 0.3, 6\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37693922 or 37693920?\nAnswer: 37693920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -401, 131 in decreasing order.\nAnswer: 131, 4, 3, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 7, k: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t**2 + t - 2. Let n(q) = -8*q**2 + q - 2. Suppose -10 = -4*v + b, 4*b + 6 - 29 = -5*v. What is v*n(l) - 4*j(l)?\nAnswer: 4*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncvvtndnttvnt. Give prob of picking 1 n and 1 t.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2528138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 + 1414 = 4*r. List the prime factors of r.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -24*j - 30. Determine u(3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u**3 + 4*u**3 + 12*u**3 + 11*u**3 + 2*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*r**2 - 8*r**2 + r**2)*(8*r - 6*r - 5*r) + 5*r**3 - 3*r**3 - 4*r**3)*(1 + 3*r - 1).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -179. Let a(f) = 4*f**3 + 95*f**2 + 3 - 3*f**3 - v*f**2 + 6*f. What is a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-216)\/(-60) - 4)\/((-2)\/5). What is the common denominator of -7 + 4 + s\/(-30)*14 and -25\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -5*k - 4*d + 330, 2*d + 272 = 4*k. Suppose 12 - k = -2*h. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -113 and -0.34.\nAnswer: 38.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 8*h**2 - 8*h + 4. Let f be (-2)\/(-1 + -1)*(12 - 5). What is d(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b. Let i(c) = -30*c**2 - 18*c - 9. Let m(u) = -15*u**2 - 10*u - 5. Let f(n) = 5*i(n) - 9*m(n). Give f(s(v)).\nAnswer: -2160*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/((-97185)\/39246) - 37?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 878 divide 64967322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -523?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*x - 256*x - 630*x = 36451 - 118680 for x.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115429991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22886 + 48855. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 427 or -23\/4?\nAnswer: 427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 35, 5 in descending order.\nAnswer: 35, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523146*n + 523297*n - 7097 = 0 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-195))\/((-108)\/(-10))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 3 + -1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 17\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*n - 16. Let o(w) be the third derivative of -w**5\/60 - w**4\/6 + w**3\/6 + 2*w**2. Let t be o(n). What is the closest to -2\/3 in -0.3, 4, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 v when three letters picked without replacement from {f: 6, t: 2, v: 8, c: 1, h: 1}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + 3.6. Let u be (2 - -20)\/((-9)\/18). Let w = u - -263\/6. What is the second smallest value in -2\/7, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/92680 and 95\/74144.\nAnswer: 370720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36459420 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1 = -2*k - 1, 4*l = 3*k + 13. Let m(q) = q**2 + 4*q + 3. Let x be m(k). Suppose x = -5*t + 58 - 18. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxxxuxuuxxuuuxuxuux. What is prob of sequence xx?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 1\/20*f**5 + 0*f - 34*f**2 - 179\/6*f**3 + 0*f**4 + 2 - 1\/105*f**7 + 0*f**6. Find the first derivative of h(t) wrt t.\nAnswer: -8*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*h - 1474, 2*h + 14*y = 12*y + 592. What is the remainder when h is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 19*x**2 - 156*x - 9. Let t be u(-6). Put 2, -4, t, 5 in increasing order.\nAnswer: -4, 2, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 93. Let n = -68 - w. Let q = 10 + n. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 1)\/(2\/(-21)). Let 3 - a - 25*v - 2 - v**2 - 4*v**2 = 0. Calculate v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -31*i + 20*i. Let m(h) = h**3 - h**2 + 3. Let w be m(0). Sort 1, w, i in decreasing order.\nAnswer: w, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*p - 5*v - 204, 5*p = 3*v - 292. Let d = p + 68. Calculate the lowest common multiple of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11024 + -44323\/4. Let d = p - -57. Let v = -0.8 + 1.3. Which is the nearest to d? (a) 1 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 2*a**2 - 15*a - 15. What are the prime factors of r(-4)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from crcetct.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, 535, 1736, 3407, 5542?\nAnswer: 8135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13730, 26464, 39208, 51968, 64750, 77560, 90404, 103288?\nAnswer: 116218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 195 + 54 + 212 + 2*i to t*i + m and give m.\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 2*r = -3*f - 63, 2*f = -19*r + 8*r - 274 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/89571847 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/4 - s**3\/2 - s**2. Let d = 10 - 14. Let p(t) = -t - 1. Give d*p(a) + g(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - 9*p - p**3 - 6*p**3 + p**3 + 10*p to n*p**3 + b*p**4 + r + l*p + v*p**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01404700009 rounded to 6 decimal places?\nAnswer: -0.014047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3174*z + 7272. Give o(2).\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -1.5, 1\/3, 0, -0.2, -0.3 in descending order.\nAnswer: 70, 1\/3, 0, -0.2, -0.3, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -n + 2, 29 = -3*n + 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*t + 52*t - 2224 - 1116 = 0 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8183081*0.1.\nAnswer: -0.28183081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**7\/210 - 17*a**6\/600 + 7*a**5\/100 - 11*a**4\/120 + a**3\/15 + 3*a**2. Let p(h) = 0. Calculate h.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.45 - 50.95. Let s = y + -8.6. Let t = -59.907 - s. Round t to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*(sqrt(700) - (1*sqrt(700) + sqrt(700))))**2.\nAnswer: 70000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8503*l**5 - 5*l**4*v**3 - 233*l*v**3 - 37*l*v**2 + 3*v**3 - 2 wrt l?\nAnswer: -170060*l**3 - 60*l**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziiiiziizziiiiiizii. Give prob of sequence zzi.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10*((-96)\/(-18))\/8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z. Let k(u) = -19*u - 27. Calculate 6*i(s) + k(s).\nAnswer: -s - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*p**2 + 36*d**3*p + 815*d**3 + d**2*p**2 wrt p.\nAnswer: 2*d**3*p + 36*d**3 + 2*d**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(67\/(-268)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 573769\/316 - 7263\/4. What is the common denominator of 542\/48 + 2\/6 and n?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 15) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*((-2*-2*sqrt(66)*-3)\/(-4*sqrt(6)*-1*-2) + -3).\nAnswer: -6*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*z**3 + 4*z**2 - 33*z**3 + 20*z**3)*(-1 - 2 + 1) in the form m*z + t*z**3 + f + g*z**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -147*k - 2003. Calculate z(-14).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99 (base 13) to base 6.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k - 3. Let a(h) = h - 1. Let b = 45 - 44. Let g(o) = b*m(o) + 2*a(o). Give g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*20.2\nAnswer: -0.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -673 + 3869. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*v**5 - 2*v**4 - 27*v**2 - 3*v wrt v.\nAnswer: 2100*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - q + 1. Let h(k) = 5*k**2 - 17*k + 17. Suppose 0 = -3*l + l + 8. Let p(x) = l*g(x) - h(x). What are the prime factors of p(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1220\/((-2196)\/18)*(3\/36)\/((-4)\/(-12))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 49 + 19)*(3*z + 2*z - 3*z)*(-2 - 7 + 3).\nAnswer: 780*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18074.7 + -18075. Suppose 8*u - 3*u = -3*n - 64, 5*u + 80 = 5*n. Let z be 1 - (u\/10 + 2). Which is the nearest to 1\/4? (a) x (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvipkddvddvzvpzvvid. Give prob of sequence vpp.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 v when three letters picked without replacement from {n: 11, x: 3, s: 4, v: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/4)\/(8\/32). Suppose 3*g - 2 = -5*o - 6, -o + 30 = v*g. What is the highest common factor of 49 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4428 = -18*t. Suppose 0*v + t = 3*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.599404098 and -0.205.\nAnswer: 4.394404098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 2*l**4\/3 - l**3\/3 + l**2 + 7*l. Let a be o(1). Determine n, given that a - 10 - 5*n**4 + 2 + 2*n**3 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**34\/((((p*p\/p**0)\/p)\/p)\/(p\/p**6*p)) assuming p is positive.\nAnswer: p**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 19.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 5) in base 16?\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**4\/4 + c**3\/3 - 3*c**2\/2 + 378. Let k(a) = 2*a**3 - 3*a**2 + 7*a. What is -3*k(o) - 7*v(o)?\nAnswer: o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 2*(0 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 16 = 39. Calculate the remainder when ((-16)\/5)\/1*-10 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -136*x + 69*x + 2597. Calculate the least common multiple of 30 and x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4}. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2646)\/105*35\/(-49).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005799 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -114, -149, -208, -297, -422, -589?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246642711?\nAnswer: 3, 7, 43, 71, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 0*b + 5*b - 1 - 7*b. Let t be q(-2). Determine x, given that -5*x**2 + 3*x**2 + 10*x**2 - t*x**4 + 6*x + x**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 126253042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24988, -199947, -674834, -1599613, -3124248?\n\"Answer: -24994*k**3 - k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 274 - 275. What is the closest to 1 in 0.1, h, -3, 46?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.3 - 1.3. Let g = 5.8 - l. Let f = -0.3 + 0.2. Sort g, f, -5 in descending order.\nAnswer: f, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 18 = -4*c, -2*c + 5*h = 2*h - 21. Suppose -14*m = -c*m - 40. Suppose -l + 2*f - 4 = 0, l + 3*f = 2*l + m. Is l equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190145322 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1325*k**3 - 153680*k**2 + 2320*k.\nAnswer: -5*k*(k + 116)*(265*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**17*l*l\/l**3*l)\/((l\/((l\/(l\/l**14))\/l))\/(l\/(l\/((l\/l**(5\/2))\/l)))))**(2\/143) assuming l is positive.\nAnswer: l**(53\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w - 5 + 5)*(-2 - 3 + 2)*(-4*w - 2*w + 4*w) - 36*w + 36*w + 9*w**2)*(-5*w - 2*w + 3*w).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -218332, -873318, -1964960, -3493258, -5458212, -7859822?\n\"Answer: -218328*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 464990.652 nanoseconds in weeks?\nAnswer: 0.00000000076883375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -304.51 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + -3 + -1 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a**3\/2 + 186773*a**2\/2 = 0.\nAnswer: 0, 186773\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -10010001001110111?\nAnswer: -10010001001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*c = -18, -2*d - 6 + 19 = c. Suppose 4*z + d = 12. What are the prime factors of (-1)\/z + 2025\/18?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9462, 15879, 22296, 28713?\nAnswer: 35130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 - 0.03886.\nAnswer: -53.03886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*g = -0*g + 4, -3*b = -2*g - 7. Let w = b - 3. What is the derivative of -4*f**2 - f**3 + 17*f**3 + 4*f**w - 20 wrt f?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8)**(4\/3)\/((((((j*j*(j\/(j*(j**(-2)*j)\/j*j*j))\/j)\/j)\/j)\/j)\/j)\/j**(5\/11)) assuming j is positive.\nAnswer: j**(466\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 37*j**5\/20 + 35*j**4\/6 - 35*j**2 - 1. Find the second derivative of r(f) wrt f.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 7, -4, 27, -5 in descending order.\nAnswer: 27, 11, 7, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 451 - 405. Calculate the remainder when 287 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrs when four letters picked without replacement from srsssrssrrssr.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46713 and 77855?\nAnswer: 233565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42515.9 + -42516. Let s = -212 + 3389\/16. Which is the closest to x? (a) s (b) -1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -53 + 41. Let z(v) = -15*v**3 + 21. Let r(w) = -16*w**3 + 19*w**3 - 13 + 9. Calculate g*z(p) + 21*r(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4669*l - 2480 - 81562 = 0 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 2*a - 167. Let d be w(0). Let x = d - -182. Calculate the greatest common factor of x and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3093418660 to the power of 1\/2, to the nearest integer?\nAnswer: 55619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -43. Suppose 4*z + 148 = p*h - 0*h, -3*h + 2*z + 115 = 0. Calculate the highest common divisor of 41 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2074, 4 in decreasing order.\nAnswer: 4, -1, -3, -2074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 117, 125, -45, -483, -1279, -2523, -4305?\n\"Answer: -15*c**3 + c**2 + 110*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1901979 and 2128455.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {d: 1, i: 4, w: 1, x: 3, r: 1, h: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -19832.\nAnswer: 13\/9916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515763 is divided by 1348?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/256856 and 121\/5496?\nAnswer: 176460072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208441.\nAnswer: 208441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 - 15*c**2 + 15*c + 13. Let t(p) = 4*p**3 + 7*p**2 - 8*p - 7. Give -5*b(r) - 9*t(r).\nAnswer: -11*r**3 + 12*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v**2*x**2 - 2*v**2*x - v*x**2 + 1014*v + x**2 - 2871*x wrt v?\nAnswer: 2*v*x**2 - 4*v*x - x**2 + 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*l**2 - 736*l**2 + 2564*l**2 - 732*l**2 - 735*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f + 100*f + 92*f + 9100 = -17*f for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-9)*(-7)\/14)\/((-55)\/66)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*w - 36, w + 17 = r + 4*w. Suppose -3*q = -0*v - v - 2, -r*q - 3*v - 6 = 0. Factor 2\/7*d**2 + 2\/7*d + q.\nAnswer: 2*d*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**4 + 537*x**3 + 18480*x**2 - 80268*x + 82368 = 0.\nAnswer: -33, 2, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-22)*(23 - -1). Let t be 1*-6*6\/k. What is the derivative of 16*b**2 + t*b + 8*b - 3 - 11*b wrt b?\nAnswer: 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -37. Let h(q) be the first derivative of -4 + 26*q**2 - 16\/3*q**a - 12*q. Factor h(r).\nAnswer: -4*(r - 3)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p + 3. Let r be v(0). Suppose 0 = -4*g + 4*q + 8, 3*g + 2*q - 24 = -2*g. Suppose g*a - 3*a - 13 = 0. Solve a = 2*t + r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 633205092, 633205094, 633205098, 633205104, 633205112, 633205122?\nAnswer: 633205134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*t - 72, 0*t - 4*t = -2*n + 46. Suppose n = 3*k - 23. Solve c + 2*c = k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22671 - 22666. Which is the nearest to 2\/7? (a) 2\/15 (b) y (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2064 divided by 248?\nAnswer: -258\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 37 - 31. What is the derivative of j + 84 + 92*j**2 + 128 - n*j + 22 wrt j?\nAnswer: 184*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k + 107349 + 82587. Is (2 + k\/(-3))\/(-4 + 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 6434.355?\nAnswer: 6434.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 11*w**2 - 7*w + 12. Let b be y(8). Suppose k = -151 + b. Let j(d) = 3*d**2. Let p(a) = 2*a**2. Determine k*j(m) + 5*p(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b25a (base 12) to base 7.\nAnswer: 342241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 29.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 682\/99)\/((-4)\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 956.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456820656.\nAnswer: 2, 3, 103, 92399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17481*o**3 + o**2 + 1087038*o?\nAnswer: 104886*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35\/207 + 9\/23. Let c = 440 - 445. Let l = 4.4 + 0.6. What is the smallest value in c, l, n, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 9:56 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69791.\nAnswer: 101, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((55 - -3) + 11 + 8 + -32)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 121*n = -122*n - 5, 5*d = -4*n + 31 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = 4*s, -s - 4*s = -15. Suppose 0 = -0*x + 3*x. Put x, 3, y in decreasing order.\nAnswer: 3, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 4*u + 8. Let n be y(6). Let t(z) = z + 7. Let l be t(n). What is the second derivative of -28 - l*w + 4*w**2 + 28 wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*-89\nAnswer: 231.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 188753 (base 9) in base 15?\nAnswer: 24e59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 7) to base 8\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047421195?\nAnswer: 5, 7433, 28183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 19 (c) 0.1 (d) -2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 3*u + 2. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -33, -44?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**8\/336 - b**7\/35 - b**6\/30 + b**5\/10 + 5*b**4\/24 + 12*b**2 + 125. Let j(g) be the second derivative of r(g). Factor j(h).\nAnswer: -h*(h - 1)*(h + 1)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a + 0*a**3 + 3*a - 6*a**3 + 0*a**3 - a**4 - 3*a**2 wrt a.\nAnswer: -24*a - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -0.36. Let h = t - -0.3. Let n = -0.01 - h. Which is the nearest to -2\/3? (a) n (b) -3\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 788278323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 - -1.5061309394?\nAnswer: 1.6561309394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c - 28. Let u be v(-4). Let i(p) = p**3 + 8*p**2 + 2*p + 19. Let s be i(u). Solve -s*n + 2*n**2 - 3*n - 58 + 38 = 0 for n.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254613 + 145452 = 4330*j + 241569 for j.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37182 divided by -6?\nAnswer: -6197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042105 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 7*y = 96. Let r be (1\/(-3))\/((-44)\/y). Which is the third smallest value? (a) 0.2 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7858727.163 rounded to the nearest one hundred thousand?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - 10*z. Let m(i) = -i**2 - i - 1. Let n(t) = 2*t**2 + 4*t + 4. Let v(c) = -4*m(c) - n(c). What is g(v(q))?\nAnswer: 16*q**4 - 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5 + 1*(-3*sqrt(704) + -2) + -5)*-3)**2 + -2.\nAnswer: -342362 - 5184*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, w: 2, f: 1, p: 1, y: 1}. What is prob of picking 1 f, 1 y, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 14. What is the lowest common multiple of (c - -8 - -2) + -3 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1200, -1244, -1288, -1332, -1376, -1420?\n\"Answer: -44*i - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1238017 by 112547.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1)*1 + (44 - 0). Let o be z + -14 + (-4)\/(-2). Find the common denominator of 107\/12 and ((-96)\/(-120))\/((-2)\/o).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u - 1316*u**2 + 16*u.\nAnswer: -1316*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49731828?\nAnswer: 2, 3, 47, 88177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -90, -748, -1428, -2136, -2878, -3660, -4488?\n\"Answer: -v**3 - 5*v**2 - 636*v + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314920.5 kilometers to nanometers.\nAnswer: 314920500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 4)*(4 - 4 + k)*(1 - 1 + 2)*(-3*k + 9*k + 3*k) in the form b*k + z + u*k**2 and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 - 4*t**2 + 19*t**2 - 9*t**2 + t - 1 - 7*t**2 - 2 - 3*t**3 to the form i*t**4 + h*t**3 + n*t**2 + s + q*t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13 = 2*q + q, -5*q - o + 16 = 0. Suppose t + q*g - 172 = 0, t + 2 = -5*g + 178. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/4040 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10278 + -61669\/6. Let h be 1 + ((-9)\/5)\/3. Which is the biggest value? (a) -2 (b) p (c) h (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + c - 2*c = 8, 5*j + 19 = c. Let t be 4\/4 - (j + 1). Let p be 0\/(2 - t) + 5\/1. Solve p = -l + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 2684*o**3 - 47448*o**2 + 282960*o - 564192.\nAnswer: -4*(o - 653)*(o - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 5*j**2 + j**2)*(4*j**2 - 4*j**2 - 2*j**3) - 2442*j - 4 + 2442*j - 465*j**5 + 2*j**2 - 2*j**5 - j**4 + j**4.\nAnswer: -465*j**5 + 2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Suppose 124 = 3*n + 5*m - 59, -i*n + 109 = -m. Is 0 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {s: 3, p: 3, i: 2, v: 1, g: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v**0\/v*(v*v**(-2))**(1\/37))\/(v**5*v*v\/(v*(v\/v**(-3))\/v*v)*v*(v*v\/(v**(1\/2)*v*v)*v)**0) assuming v is positive.\nAnswer: v**(-1\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.67 - -19.57. Let m = -1583682455 + 1583682436.89999726. Let o = m - x. Round o to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*r + 113 = -384*r + 5885. Let n be ((-61)\/(-3))\/((-4)\/12). Let h = -41 - n. What is the lowest common multiple of r and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**2 + 12. Let u(y) be the third derivative of -y**5\/20 + 5*y**3\/6 - 26*y**2. What is 5*f(n) - 12*u(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63923 - -9.9?\nAnswer: 63932.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 0*h**3 + 0*h + 0*h**5 - 7\/6*h**6 + 21\/2*h**2 + 9 + 0*h**4. Find the second derivative of d(g) wrt g.\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3190 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 25. Suppose 139*g - 228*g = -7209. Calculate the remainder when g is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -512.8*0.3\nAnswer: -153.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.1*-0.2.\nAnswer: 4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4 + 5609*j**3 - 22424*j**2 + 22420*j = 0.\nAnswer: 0, 2, 5605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1775257 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let n(m) = m**2 + 55*m + 56. Let w be n(-54). Let y(s) be the second derivative of 0 + 0*s**w - 5\/12*s**4 + 0*s**3 + 2*s. What is y(z(c))?\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -229, -461, -709, -967, -1229, -1489, -1741, -1979?\n\"Answer: p**3 - 14*p**2 - 197*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506660 and 18620.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 210*g + 489*g - 3866. What is the smallest common multiple of 10328 and g?\nAnswer: 30984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 3, j: 1}. Give prob of sequence sjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z - 5*z + z**2 + z**3 - 9*z - 12 - 8*z in the form p*z**2 + m*z**3 + k + r*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 9*s - 84. Suppose -s*z = 2*z - 191700. What is z rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -50. Let s(j) = 2*j**2 - 5*j**3 + 28471 + 0*j**2 - 28470 - v*j. Let n(i) = 11*i**3 - 5*i**2 + 9*i - 2. Give 4*n(z) + 9*s(z).\nAnswer: -z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 26*x**2 - 6*x - 88. What is p(-26)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-3*w + 3*w - w**2) + 0 + 0 + 3*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 15\/4, -2, -22, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 513 + -134. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 + 3*w**3 - 11*w**2 + 16*w**2 + 10 + 3*w**2 + w. Let r be l(8). Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.70936 * -23.\nAnswer: -476.31528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 + (-28)\/(-6). Suppose -4 - d = c. What is the units digit of (36\/c)\/(3\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1193)\/6*(-855)\/105 + -2. Let c = 1618 - m. Calculate the common denominator of -101\/1094 and c.\nAnswer: 7658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/12 + h**3\/3 - h**2\/2 - h. Let p be v(-3). Let y be 560004\/(-8) + 1\/p. Round y to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 + 11*b + 4. Let h(m) = -6*m**2 - 10*m - 3. Let q(f) = -6*h(f) - 5*t(f). Let l be q(4). What is the greatest common factor of 85 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 1. Let p be w(0). Let u(g) = 12*g - 14. Let d be 2\/(-7)*(16 - 30). Let i(s) = 4*s - 5. Let t(x) = d*u(x) - 11*i(x). What is t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k\/(k*k**(-1\/2)*k))\/k)\/k**6*(k*k**(-2))**(-3\/47)*(k*k**(-3))\/k**(2\/3)*k**(-1)\/k**(-1\/10) assuming k is positive.\nAnswer: k**(-6347\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/44730 and 163\/6390.\nAnswer: 44730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2120)\/9275 - 3*2\/30.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**4 + 22*k**2 - 5*k. Let b(g) = -g**4 + 11*g**2 - 3*g. Let p(d) = -5*b(d) + 3*f(d). Find the third derivative of p(y) wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 149, 255, 399, 593, 849, 1179, 1595?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 24 = -6*l. Suppose -5*j + 105 = -r, -j - 76 = -l*j - 2*r. What is the least common multiple of 18 and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10692 by -22.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -852744118154221 - -2\nAnswer: -852744118154219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15927618.\nAnswer: 2, 3, 7, 89, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2. Let k(x) be the third derivative of 17*x**5\/60 - 10*x**2. Calculate m(k(i)).\nAnswer: 578*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -460.2 + 462.621. Round o to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27*6\/18)\/((-9)\/15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:57 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 9. Let f(l) = 9*l**2 + 0*l**k - 2 + 1. Calculate f(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 57. Calculate the greatest common factor of o and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.6 and -27.06498.\nAnswer: -638.733528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q - 6. Suppose 12 + 8 = q*l. Suppose 4*y = l*y - 26. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 15*g - 32 = 0. Suppose 7*z - 2*z + 170 = 0. Let s = 146 + z. What is the greatest common divisor of s and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 14. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -685 or -671?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.414847nm?\nAnswer: 0.000002414847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0 - 1\/6*y**3 - 3*y - 3*y**2. Let u be b(-5). Let i(z) = -8*z**3 + 2*z**2 + 2*z + 1. Determine i(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47366776 - 5\nAnswer: 47366771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 234*s. Let k(d) = 2*d**2 + 5*d**2 - 2 + 2 - 8*d**2. Calculate k(j(g)).\nAnswer: -54756*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a - 7c?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(18) - sqrt(72)\/sqrt(4))\/sqrt(9) - -3*sqrt(8)\/sqrt(4))*-6.\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*y - 44 + 44)*(-6*y + y + 3*y - 2 + 5*y**2).\nAnswer: -385*y**3 + 154*y**2 + 154*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z + 2*z - 2*z + (-5*z + z + 2*z)*(1132 - 522 - 534) as x*z + y and give x.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)*c**(1\/5))**(-29))**(-2\/11) assuming c is positive.\nAnswer: c**(-174\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-277*j - 254*j + 316*j)*(6 - 3*j - 6).\nAnswer: 645*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136274 is divided by 19457.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 0.74408.\nAnswer: 6.69672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - -2.51. Let s = 3 - q. Let h = -2\/273 + 188\/819. What is the second biggest value in 5, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.169 + -69.169. Let d = 65.9 + r. What is d rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 69 = 3*x, -3*t + 53 = 2*x - x. Suppose -t - 34 = -4*m. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*z**4 + 29*z**4 + 6*z**2 - z**5 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 r, and 1 h when three letters picked without replacement from {g: 1, f: 1, u: 1, h: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 162 = -2*x. Calculate the remainder when 70 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119\/171 + -9\/19. Let d(h) be the second derivative of -1\/18*h**4 + g*h**3 - 1\/3*h**2 + 0 + 4*h. Factor d(f).\nAnswer: -2*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15226.\nAnswer: 2, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2+-1761.6\nAnswer: -1759.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -335663 in increasing order.\nAnswer: -335663, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/9, 3, 0.5, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - 2064?\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c - 0*c + 40. Solve 13 = c*j - 2*k, -2*j + 5*k = 1 - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 5*t + 5*j = 5, 0 = -t - 4*j + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/sqrt(40))\/sqrt(4).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 24 + -77 + 40 - (0 - (1 - 119))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 192057427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-90))\/((-7)\/(-21))*2\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d**2 - 6*d**2 + d**2)*(4 - 3 - 2) + 5*d**2 + 11*d**2 - 26*d**2)*(4*d + 1 + 5*d - 2*d).\nAnswer: -56*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g**2 + 22*g - 3. Let a(h) = 3*h**2 + 1. Let t = 56 - 59. Let p(j) = t*a(j) - x(j). Let d(w) = 3*w. Calculate p(d(y)).\nAnswer: 18*y**2 - 66*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, p: 11}. Give prob of picking 2 p.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(1 + sqrt(432))**2.\nAnswer: 24*sqrt(3) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192\/5 + -38. Suppose q - 209 = -3*m, 274 - 60 = 3*m + 2*q. Let w = m + -135\/2. What is the closest to s in -0.5, -3\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -25*v**3 + 1645*v**2 + 2005*v + 335 = 0?\nAnswer: -1, -1\/5, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 11:27 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*u + 5428*l**2 - 862334*l*u**4 - 82*l wrt u.\nAnswer: l**2 - 3449336*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6*t - 4*t + 65, -3*q - 2*t = -61. Suppose -2*b + 2 = g - 11, -2*b = -g + q. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*g = 0, -5*v - g = -0*v - 8. Let l(p) = p**2 + 2*p + 2. Let o be (3\/5)\/((-6)\/(-30)). Let f be l(o). Solve -7 = v*z - f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/283 and -49.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-6) + 69\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 954 - 3969. Let r = -1422 - x. What is the highest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.359139 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(1\/(3*8\/(-120)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = v - 2, 2*v = -j + 6 + 34. Calculate the greatest common factor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/((-22)\/(-77)*-1)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/5, -2\/5, -3\/65, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/15)\/((-71)\/(-1065)). Solve -6*g - 12 = b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*d + 45*d + 2838386 = 266586. Is 39 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15 - 1 = 0. Suppose -3*v - 3 = 4*t - 0, -t = -l*v + 15. Suppose 10 = 3*n - 4*a - 15, -5*a + 16 = v*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/102 - 62*f**3\/51 + 961*f**2\/17 - 3304*f - 1. Solve m(v) = 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + 4*l)*(0 - l**2 + 0) + 244 + 13*l**3 - 244 + (0*l + 0*l + 2*l)*(5 - 3 + 0)*(l**2 + 0*l**2 + 0*l**2).\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 783 and 1539639.\nAnswer: 4618917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.218 and -3.\nAnswer: -4.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28223786 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 57. What is the remainder when j(20) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4522194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -460*r**4 + 2 + 461*r**4 - 4 + 2*r**3 - 8*r**2 + 45*r + 11*r**2 in the form k*r + f*r**2 + h*r**4 + m + u*r**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/3*(1 + -1). Suppose k = j + j - 2*m + 14, 0 = 5*j + 2*m + 28. What is the tens digit of (-3)\/(-6) - 57\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:46 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 239605*y - 471490 wrt y.\nAnswer: 239605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6811*a**4 + 758748*a**2?\nAnswer: -163464*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2512761?\nAnswer: 3, 47, 71, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 72. Let p = 43 + j. Let u = -21 - p. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h + 4. Let y = -3\/2533 - -5087\/17731. Is h greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.0379, -0.2, 4 in descending order.\nAnswer: 4, 0.3, 0.0379, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)**8*(h**1)**15 assuming h is positive.\nAnswer: h**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -41*b**2. Let l(u) = 2*u**2 + 8*u + 4. Let h(z) = -4*z**2 - 14*z - 7. Let w(t) = -4*h(t) - 7*l(t). What is w(g(r))?\nAnswer: 3362*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464386 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3270)\/6210 + 2\/9. Sort 3, 2, c in ascending order.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 0.2 (b) 0 (c) -38 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - -3.68. Let r = 4 - m. Let s = -0.20003 + r. Round s to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**2 + 20*a + 12. Suppose -3*o - 2*o = -4*i - 16, 3*i + 5*o + 12 = 0. Let z(g) = 9*g**2 + 21*g + 12. Let t(b) = i*z(b) + 5*n(b). Factor t(q).\nAnswer: 4*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316520 (base 9) to base 7\nAnswer: -1413402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + sqrt(171) + -1)*-5 - (sqrt(171) + 0)*3) + -2)**2 + 0.\nAnswer: -234*sqrt(19) + 28908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(931) + 0) + -5)**2 + (sqrt(931) - (1*sqrt(931))**2)*4*-2)*-2.\nAnswer: -81978 + 952*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142000 - -10?\nAnswer: -141440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48636, -48628, -48614, -48594, -48568, -48536, -48498?\n\"Answer: 3*w**2 - w - 48638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 7, t: 2, i: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1872)*2 - sqrt(1872) - sqrt(1872)) + 1 + 4)**2 + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/514561641 or 1?\nAnswer: -1\/514561641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Suppose 0 = -2*q + 3*s - 5, -4 = h*q - 2*s - 19. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0066 * 6323\nAnswer: -41.7318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/30 + 740\/75. Let v = q + -12. Let h(u) = 2*u + 3. Determine h(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 27302?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -314504?\nAnswer: 314503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 14 + -4 - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -651*c - 517. Give y(-1).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2. Let u(c) = 18*c. Let k(q) = q. Suppose -2*l = -7*l. Suppose 3*i - 4*v + 0*v = -10, 2*i - v = l. Let f(g) = i*u(g) - 44*k(g). What is h(f(w))?\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2682*z - 2760. What is s(1)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1434, 2789, 4144, 5499, 6854, 8209?\n\"Answer: 1355*p + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u. Let x = -13 - -36. Let d(w) = -x*w**2 - 20*w**2 + 42*w**2. What is d(f(n))?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/1*1*2\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q - 13 + 4*q - q**2 + 4*q + 0*q**2 as v + w*q + d*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9))**38*(k**1)**10 assuming k is positive.\nAnswer: k**(166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 6*k**2 + k - 4. Let w be d(6). Suppose 2*b = b + w. Let i(h) = 2*h + 2*h - 3*h - 2. What is i(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 22*i - 23*i + 4392 = 0, -3*h - 5*i = 6614. Is h not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435105 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 48. Calculate the common denominator of 5\/4 + (-146)\/d and 71\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 77. Let s(d) = 2*d - 2*d + 34*d**2 + 1 + d. Let w be s(-1). Calculate the highest common divisor of q and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emmlglttoggeegt. What is prob of picking 1 g and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 9. Let r(l) = l + 1. Let k(i) = -5*r(i) - z(i). What are the prime factors of k(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 6047*t**5 - 2*t**3 + 649059*t**4 - 2*t**2 - 248*t - 4 - 649059*t**4 wrt t.\nAnswer: 362820*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667 a factor of 5765717643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1069920 and -77\/288?\nAnswer: 1069920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/252 - ((-1022)\/(-63) + (14 - (-390)\/(-13)))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54877373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 22. Let w be f(7). Sort -3, -2, w, -4 in descending order.\nAnswer: -2, -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -2*j**5\/5 - j**4 + 2*j**3\/3 + 2*j**2 - 24. Factor t(a).\nAnswer: -2*a*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 24822*d**2 + 273053*d + 134. What is x(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2509, -5102, -7761, -10522, -13421, -16494?\n\"Answer: -6*j**3 + 3*j**2 - 2560*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 35 = 5*z. Suppose -2*y = -z*y + 25. Which is bigger: y or 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20292409 to 3 dps.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 2*h - 2. Let r be n(-2). Find the third derivative of -14*y**3 + 13*y**2 - r*y**2 + 22*y**2 wrt y.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/((-90)\/(-24)) - (-1 - -1). Calculate the common denominator of ((-1302)\/(-162) - 8)\/(t\/(-318)) and -143\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 164*h = 165*h - 15, -18*t + 5*h = 61 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*r + 54 = 0, -24*w + 21*w = -2*r - 61. Solve t - 7 = a - 8, -3*a = t + w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12332323233 + -1?\nAnswer: -12332323300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -3, -13, -11, 9?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162261 is divided by 162175.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -40 (c) 1 (d) 1.6 (e) -2\/5 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/13 + 229946*d**2\/13 + 1149680*d\/13 = 0. Calculate d.\nAnswer: -114968, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + 2*r**3 - 20 + 27 - 7.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9508716.\nAnswer: 2, 3, 7, 97, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 26*d + 48 = 4*a, -4*d - 48 = -4*a. Solve -2*k - a = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*w + 44*w - 54. Which is the smallest value? (a) -2 (b) -16 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.3804577 - -19.38. Round y to 5 dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 196\/24 - (-21 + 29). Let s = -0.02 - 0.38. What is the closest to 0 in 104\/5, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*s + 1)*(9*s**3 - 11*s**3 + 17*s**3) + s**4 + 0*s**4 - 4*s + 5*s to a*s**4 + q*s**3 + p*s + f + x*s**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 285\/109, -0.3, -1\/6, -0.5 in ascending order.\nAnswer: -0.5, -0.3, -1\/6, 285\/109, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2120212110?\nAnswer: -2120212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + -3 + -5 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.7 and 54105.\nAnswer: 54108.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/17 and 7.88 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 57*c - 20. List the prime factors of p(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15998.4 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3470577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*j - 4624 = 1647*j - 805*j for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.119 + -0.181. Which is the second smallest value? (a) -0.1 (b) -0.21 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -554 > -556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 13*r + 6 - 6*r - 8 + 12. Let z(q) = 6*q + 9. Let t(n) = -5*w(n) + 6*z(n). Calculate t(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7650 - -1.\nAnswer: -7649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197 + 134 + 166 - 3*h**3 to the form q*h**2 + w*h + t + v*h**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b - 40. Let m be x(-6). Solve -m*z = -5*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 19 - 113 = 0. Let d = -28 - j. Suppose 2*h - 3*h + d*o = -37, -2*o = 3*h - 60. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 2730.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Suppose -z = a*z - 16. Factor u**5 + u - u**4 - 3*u**z + 6*u**3 + 0*u**4 - 4*u**2.\nAnswer: u*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(26 + 11 + -36) + 4 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -13. What is the third derivative of s*f**5 + 0*f + 4*f**2 - 5*f**5 + 0*f wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzu when three letters picked without replacement from {s: 1, m: 2, u: 6, z: 1, j: 2, v: 6}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 224 + 4?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94537.\nAnswer: 17, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 5*n + 6. Let h(b) = -2*b**2 + 6*b**2 + 0*b - 13 + 2*b**2 - 10*b**2 - 11*b. Let a(p) = 12*p + 1. Let i be a(1). Give i*v(s) + 6*h(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 - 242?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11321*h**3 - 12*h**2 + 66*h - 6. Let z(i) = 1154743*i**3 - 1222*i**2 + 6721*i - 611. Calculate -611*j(g) + 6*z(g).\nAnswer: 11327*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35096021, 35096015, 35096009, 35096003?\nAnswer: 35095997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*w, -5*x + 25 = 2*w - 1. Suppose -1053 = -3*t + q, -q = -4*t - x*q + 1385. Suppose 0 = 7*v + 14 - t. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.193 (b) -2\/15 (c) -2\/23 (d) 0.4 (e) -2\/3 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**4\/4 + 11*x**3\/3 + 2*x - 273. Calculate t(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Let k = -1 + p. Let m = -1.94 + -0.06. Which is the second smallest value? (a) k (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 11. Let d be i(-8). Let n(g) = -g**3 - 4*g**2 + 6*g + 1. Calculate n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 7*b**2 + 36*b - 4. Let o(y) = 3*y**3 - 20*y**2 - 128*y + 8. Let d(p) = -2*o(p) - 7*r(p). Determine d(9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3449 is divided by 290?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 259017 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 572255863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1529 and ((-26)\/(-338) - (-886)\/(-10842))\/((-32)\/(-18)).\nAnswer: 12232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/4)\/(5\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + r - 5. Suppose -7*v = -2*v. Suppose v*i - 2*i = 0. What is y(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43329 less than -0.4?\nAnswer: -1.83329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -225.\nAnswer: -1\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40178 divided by -20089.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9878109 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4794 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:41 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -788, -1453, -1986, -2387?\n\"Answer: 66*x**2 - 863*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*t - 0*j - 20, -5*t + 3*j - 45 = 0. Calculate the common denominator of 1 - (-3 + (1 - (-9)\/t)) and -37\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12055103, -12055102, -12055101?\nAnswer: -12055100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 0 - (-1 + 2 + sqrt(12))) + ((sqrt(240) - -1*sqrt(240))\/sqrt(4))\/sqrt(5).\nAnswer: -1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -68928?\nAnswer: -68928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/2 - 4*f**3 - 13*f**2\/2 + 16*f + 18 = 0. What is f?\nAnswer: -2, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1617433 (base 10) to base 11\nAnswer: a05224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmmhhhampttmmmtmp. What is prob of sequence mpt?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**3 - 60*s**2 + 2*s + 995 wrt s?\nAnswer: 18*s - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 not equal to 21189\/4147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1842 - 81958.\nAnswer: -83800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11658, -46352, -104136, -185004, -288950?\nAnswer: -415968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*h + 3*h + 4*h)*(0*h - 2*h + 4*h) + 20*h**2 + 41 - 41)*(h - h - h) as a*h**2 + l + c*h + x*h**3 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 4*a - 4. Let n(g) = 6*g**2 + 8*g - 9. What is -4*n(r) + 9*t(r)?\nAnswer: 3*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596 - 50221*a + 25109*a + 25115*a.\nAnswer: 3*a + 596","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t. Suppose -2*w - 416 - 304 = t. Round w to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*11\/(-132))\/(((-125)\/(-70))\/5)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148335*-0.3.\nAnswer: -44500.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-1 + 1 + -2 - (-3592 + 3591)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1478 + 13.\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15*q + 6. Let g(l) = -7*l + 3. Let h(f) = -13*g(f) + 6*v(f). Suppose 24 = 3*c - 0. What is the units digit of h(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540569 is divided by 6744?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6461*x**5 + x**3 + 112553*x - 2?\nAnswer: -129220*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnn when three letters picked without replacement from {b: 1, t: 1, q: 2, f: 1, l: 7, n: 2}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 34cb635?\nAnswer: -34cb634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 46. Let l = -10.08 - -0.08. Let w = l - -8. Which is smaller: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(1452) + sqrt(1452))*3 - sqrt(1452)) + sqrt(1452))*-1)\/(sqrt(1296)\/sqrt(9) - sqrt(32)\/(sqrt(8)*-3 - sqrt(8) - sqrt(8))).\nAnswer: -495*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 352.76 + -359. Let f = -6 - b. Round f to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0238257 to 4 dps.\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (98 + 14*t - 98)*(0*t**3 - t**3 + 2*t**3) + 3*t**4 - 3*t**4 - t**4 in the form j*t + a*t**4 + g + r*t**2 + n*t**3 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -2*p**2 - 1\/8*p**4 + 0 - 1\/6*p**3 + 0*p. Let o be z(1). Sort o, 0, 3 in decreasing order.\nAnswer: 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1267735?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 33. Determine n(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1315*y**6 + 62*y**2 + y - 3 wrt y.\nAnswer: -157800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 10. Let l = -0.081 + -0.019. Which is the closest to l? (a) 3\/7 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8935 is divided by 173?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.051 * -108.\nAnswer: -5.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2324*q - 23248. Calculate s(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2304000 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15029627869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-2)\/(-20))\/1)\/((-298)\/(-745)). Which is the second biggest value? (a) 9 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 71*p**2 - 16*p - 16. Let y(z) = 40*z**2 - 9*z - 9. Let v(l) = -9*t(l) + 16*y(l). Let m(x) = 2114*x**2. Calculate m(v(k)).\nAnswer: 2114*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3996 < 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1600)\/30)\/(-10))\/(10\/30).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -10\/3*z**3 + 0*z**2 - 5\/6*z**6 + 5 + 0*z**5 + 0*z + 0*z**4. Find the third derivative of i(p) wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59.63 - 60. Let u = a - 0.03. Let b = -133.7 + 134. What is the nearest to 0 in u, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93222*h**3 - 614899*h wrt h.\nAnswer: 559332*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 0*c**3 + c**3)*(-1 + 1 - 1) + 8*c**3 - c**3 - 1 - 5*c**3.\nAnswer: 3*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - -84. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91010608 and 2432.\nAnswer: 728084864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*(-8)\/6. Suppose 2*i + 8 = b, 4 = -b - 2*i - p*i. Solve -q + b*k - 10 = -3*q, 0 = -3*q + k - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -8 + -13 - 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22536452\/8789 - 28203\/11. Let h = 10111\/17 + -595. Let p = h + u. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 989686 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*v + 27\/2*v**4 + 72*v**3 + 27\/2 + 69*v**2.\nAnswer: 3*(v + 3)**2*(3*v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256.526 kilometers in micrometers?\nAnswer: 2256526000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 less than -103\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 90*p - 462. What is s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1149*t - 1197*t + 80304. List the prime factors of t.\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35510500339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4739182 or 33174276\/7?\nAnswer: 4739182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1716*i - 558*i + 88008 = 0 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, s: 3, q: 1, b: 6, n: 3, u: 1}. What is prob of picking 1 n, 1 q, and 1 u?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 1220 (c) 1\/8 (d) -1 (e) 0.4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-18) + 1645\/(-210).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-219)\/26280*-1400*3\/(-5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000110 (base 2) to base 10.\nAnswer: -582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*d - 14 - 351*d + 1739*d - 351*d - 350*d - 354*d.\nAnswer: 2*d - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/7 + 1 - -7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 6 = 0. Let z = r + -1. Let t(b) = 6 + 4*b**2 + 4*b**2 - 6*b**2. Let l(v) = 1. Determine z*t(d) - 5*l(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 30, 25, 2, -45, -122, -235, -390?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84079573?\nAnswer: 67, 293, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001730954 to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjl when three letters picked without replacement from lgmvvjs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14113\/70 + -3733\/20. Let b = -61\/4 + g. What is the closest to -2\/7 in 5, b, 0.5, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let p = 19 - 19.2. Which is the smallest value? (a) -5 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s = 15. Let g(k) = -k - 2. Let m be g(-5). Suppose -f - m*f = -64. Solve j = -s*j - f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.7 - 15. Let k = -0.4 + v. Which is the closest to -0.4? (a) k (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-704)\/(-66)*(8 - 261\/36).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-15 - (-3 + -7) - -6).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*v**3 - 172*f**3 - 26*f**2*v**3 wrt v.\nAnswer: -6*f**3*v**2 - 78*f**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*g**2 - 9*g**2 + g**4 + 3*g**2 - g - 962 + 960 - 16*g**2 as n*g**4 + r + u*g**2 + m*g**3 + x*g and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 3, -30, -109, -252?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 989908.2 millilitres in litres?\nAnswer: 989.9082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -146626198.9 to the nearest 1000000.\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {y: 8, r: 2, p: 1, s: 4}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*n. Suppose 0 = -3*g + j + 6 - n, 4*g - 3*j - 2 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 782, 1646, 2584, 3572, 4586, 5602?\n\"Answer: -4*a**3 + 61*a**2 + 709*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 3*c + 48 - 46 + (-2 + 0 + 0)*(-c + 2 - 2) to the form j + x*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*o - 524 = -2498 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4426561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-27)\/(f**37\/f) assuming f is positive.\nAnswer: f**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 6*q - 5. Let k(l) = l. Let g(c) = -b(c) + 2*k(c). What is g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-21) - 0)\/(4\/(-6)). Let c(h) = -12 + 14 + 66*h**y - 2. Let v(b) = -9*b + 13. Let x(f) = 2*f - 3. Let g(z) = 6*v(z) + 26*x(z). Give g(c(q)).\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23060 - -1\nAnswer: -23059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3929549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2) + 2)**2 + 2)*4.\nAnswer: 32*sqrt(2) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 179011943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5401569 + 1?\nAnswer: 5401570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 + 2*v**2 - 2*v - 1. Let b(n) = 160 + 159 + n**3 - 318 + n - n**2. Give -2*b(c) - o(c).\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d - 9 - 147 - 21*d + 11*d - 89 as l*d + y and give y.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 402 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11a4 - -5?\nAnswer: 11a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2447 + 3500. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 0.493.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 359 = -925. What are the prime factors of w?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108b2 (base 15) to base 5.\nAnswer: 3140332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1125*x - 216. Let l be a(2). Calculate the highest common divisor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 1 + -9 + 531\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14054 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 2. Let u(o) = -4*o**3 - o**2 + 3*o - 2. Let q be u(1). Let r = q + 1. Let l(i) = i**2. Let p(a) = -a**2 - 1. Calculate r*l(z) + t*p(z).\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5114307 is divided by 4192.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-3\/5)))\/(w**(-1\/3)\/w))**(1\/5)*(w*w**(-1\/5)*w*(w**(-1\/9)*w)\/w*w)**13 assuming w is positive.\nAnswer: w**(7997\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 = -2*a + a, 0 = 2*a + v. Let o = -20 + 34. Let b = o - a. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -3*o - 40, -10 = 966*o - 967*o - 4*c for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 3*x**2 + 0*x**2)*(2 - 3 + 2) - 5*x**2 + 4*x**2 + 6*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3619590 (base 11) in base 8?\nAnswer: -30040731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -93, -205, -337, -489?\n\"Answer: -10*h**2 - 82*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -365 - -213. Let w = 54 - 119. Let x = w - b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-6)\/(-84))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 279 - 273. Suppose 2*w + n + 3 = 0, -3*w - r*n = -0*w + 18. Solve 2*h + 10 = -w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 24 = -4*z + 4, -3*z = -2*s - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.01 - -495.01. Let q = 488.99999454 - d. Round q to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 65*p**2 + p - 47. Let s be f(9). Suppose -31*d + s = 794. Calculate the remainder when d is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhaa. What is prob of sequence hha?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -10 - (10 - (52 + -25)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:58 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -152 bigger than -1960\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.7559 + 1.5.\nAnswer: -12.2559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1755 - -8777\/5. Which is the closest to r? (a) -19 (b) 10\/3 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.5 - -3. Let g = x + 10. Which is the nearest to 0.1? (a) g (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 82.193124 and 10.\nAnswer: 821.93124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5983, 10692, 15407, 20134, 24879?\n\"Answer: i**3 - 3*i**2 + 4711*i + 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156 + -172. Is -16 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiyiyiywyy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.12. Let q = u - -0.08. What is the third smallest value in q, -3, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.474416 + 15.504. What is x rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 9. Let o = n - 2. Let l be (-19)\/((-23)\/o + -3). Calculate the highest common factor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 422719 and 422720 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5))**(-28)*(u**(-5))**(-18\/7) assuming u is positive.\nAnswer: u**(1038\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 1167.00687\nAnswer: -1140.00687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -21*u + 352. Calculate k(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 19. Give l(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (60 + (-1932)\/46)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -51. Suppose n*x - x - 16 = 0. Suppose 3*b = 12, -y - 2*y + 20 = -4*b. What is the least common multiple of x and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4089*a**3 + a**2 + 24183*a**3 - a**2.\nAnswer: 28272*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4598125453.\nAnswer: 4598125453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -7*i. Suppose -3*y = -4*h + 151, i*y = -4*h - 5*y + 175. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*s = -145452, 2*g - 102*s + 107*s - 96958 = 0. Is g a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227570, 455602, 683634, 911666, 1139698?\nAnswer: 1367730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 100*v - 3134. Calculate w(24).\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -15.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -993, 55, -5, 33, -6 in ascending order.\nAnswer: -993, -6, -5, 33, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 + 9*y - 37. Calculate h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6492*n + 168*n**2 + 3250*n + 2 + 3244*n)*(-29*n - 16*n + 65*n).\nAnswer: 3360*n**3 + 40*n**2 + 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -63, -94, -123, -150?\n\"Answer: t**2 - 36*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 315*z**3 - 5*z**2 - 82 - 47 - 317*z**3 + 4*z**2 + 4*z**2 in the form d*z**2 + r*z + g*z**3 + a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-14))\/((-1)\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1\/5 (b) -0.3 (c) -0.7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r**3 - 2*r**3 + 3*r**3)*(-556 + 409 - 505) to a*r**2 + p + l*r**3 + u*r and give l.\nAnswer: -3912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -787*n**2\/6 + 195439*n\/2 - 745\/3 = 0?\nAnswer: 2\/787, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3899 = -3*r, -844 = 3*r - 2*o - 4715. Does 80 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002961 to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 88, 5, -4 in increasing order.\nAnswer: -4, -1, 5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/68*48\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4777 + 4783 = 0, -3*d - 5*h = -127 - 81 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 43*n**2 - 35*n - 1. Calculate the remainder when j(38) is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 7 + -28 + -2 + -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235236*b**2 - 235236*b**2 - 72*b**3.\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(65)\/sqrt(5) - sqrt(117)\/sqrt(36))*6)**2*1.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13371 - 6756 = 30*o + 5415 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*t + 5*t - 706, 5*t - 363 = n. Let w = n - -621. What are the prime factors of w?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3320986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z + 3. Let u be -3*(12\/(-9) + 1). Let r be -1 + (0 - 2) + u. Give j(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010186 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2921*m - 36419. Give n(12).\nAnswer: -1367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 3\/4 (c) -9 (d) 2\/5 (e) -3\/2 (f) -6\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 515.5 - 515. Which is the closest to -2\/9? (a) 3 (b) -0.19 (c) -4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 194*s + 1845. What is l(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*3)\/sqrt(10))\/(sqrt(12) - 1*sqrt(1200)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 3*m = 10. Let d(v) = 27*v - 16. Let o be d(m). Let c = o + 78. Calculate the greatest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10327466 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 4:41 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 23396825?\nAnswer: 23396829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40631 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8750 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 6906465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5036*a - 5018*a - 5021*a + 20094*a - 5018*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873 = -104*i + 2051 - 5004 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let m(c) be the third derivative of -11\/30*c**5 + 0*c + 0 + 0*c**3 + 5*c**2 + 0*c**4. Calculate j(m(g)).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntkxc. Give prob of sequence ktc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*n + 25. Suppose 8*h - 72 = 4*h. Calculate the smallest common multiple of n and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 2. Let w be (-13 + 4)\/(3\/6*-2). Suppose -k - w = -0*k. Let y(l) = -2*l**2 - 16*l + 15. Let p be y(k). Calculate u(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 0, 3*f = -t - 3 + 1. Solve -b + 20 = t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595391 is divided by 209?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n - 2*n + 18*n)*(-3*n**2 + 2*n**2 + 3*n**2) + (n - 3*n + 0*n)*(0*n**2 + 3*n**2 - 5*n**2) + 15*n**3 + 21*n**3 - 14*n**3)*(-n - 2 + 2).\nAnswer: -56*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 579 (base 13) to base 10\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11194678.85 rounded to the nearest one thousand?\nAnswer: 11195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 197404*a. Let s(y) = -8*y. What is s(f(u))?\nAnswer: -1579232*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2204 (c) -8 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-5*n**4 - 5*n**3 + 7*n**3 + 4*n**3)*(6 + 7 - 3)*(-3 + 3 - 3).\nAnswer: 150*n**4 - 180*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -11\/4, 4, -222, -3?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3 - 36*o + 220?\nAnswer: -9*o**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c - c**3 + c**3 - c**3 + 6*c**2 - 3 + 4. Let d be w(5). Is (d - -24)\/(-1 - -2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185 - -241. What is the remainder when 167 is divided by i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 2\/7 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15980\/102 + (-2)\/(-6) + 0. What is the third derivative of 553*n**4 - 295*n**4 + 5*n**2 - d*n**4 wrt n?\nAnswer: 2424*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + t + 7, 60*s - 2 = 61*s + 4*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*i**3)*(4*i - 4*i + i) + 4*i**4 + i**4 + 4*i**4 + 3*i**4 + 3*i**2 + 2*i**2 - i**4.\nAnswer: 13*i**4 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/192 and -89\/2.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(342) + (sqrt(342) - sqrt(342)*1))\/(-1*sqrt(2)*4))**2.\nAnswer: -513\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2\/7 (c) 5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-3 - (-2 - -1))\/(-2)). Let j(q) = -q**3 - 3*q**2 + 2*q + 5. Let k be j(p). What is the highest common factor of k and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = m + 44, 0*m + 76 = 5*s + 4*m. Find the second derivative of -1067 + 1067 + s*a**3 - 7*a wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6)\/((-8)\/(-144)). Suppose -2*n - v = n. What is the smallest common multiple of (-20)\/(((-16)\/n)\/(-2)) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5603646 by -20.\nAnswer: 2801823\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 6*l + 1. Suppose 5*g + 19 + 6 = 0. Let n be 9\/g*180\/54. Give h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71.59198 - -71.6. What is h rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*o - 16*o - 4*o**2)*(-89*o + 153 - 153)*(24 + 7*o - 24) to the form d*o + m*o**2 + h + f*o**3 + s*o**4 and give s.\nAnswer: 2492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 6, z: 2, j: 10, i: 1}. What is prob of sequence zzi?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(8\/(-40566)))\/(462\/924) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62177 or -62178?\nAnswer: -62177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - d + 2*t + 75004, 49992 = 2*d + 4*t. Round d to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1734.02892 - -1734. What is q rounded to 3 decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 - 69 - -44) + -42.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuyuuoyyyyyo. What is prob of sequence uoo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189293235 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3933 - -1.4. What is i rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 71, 163, 283, 425, 583?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 165887 - 3?\nAnswer: 165884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.082 and 435950711319.\nAnswer: 435950711318.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3\/6*64\/(-12)*-33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7775574523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252 - -249. Let m = -4.98 + -0.02. Let v = -3 + 2. What is the closest to v in 5, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 7:16 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*h + 6. Suppose -5*r = h + 3. Let u = r + 4. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 475710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7853.\nAnswer: 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/6 + 23*408\/552\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-7)*q*q**(4\/11)*(q**(1\/3)\/q)**(2\/13) assuming q is positive.\nAnswer: q**(3973\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 - 11922*h\/7 - 11844507\/7.\nAnswer: -3*(h + 1987)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/90)\/((-14)\/(-70)))\/(-2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.955237 to two dps.\nAnswer: 57.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (43 - 51) + (3 - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/3*(0 - -3). Suppose -4*a + x = 3*h, -h + 3 = 2*a - a. Is a equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)\/(10\/(-50)). Let m = -0.05 + -0.25. What is the third biggest value in m, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let x(t) be the second derivative of 0*t**3 + 0*t**4 - 1\/2*t**2 + t + 0 - 1\/60*t**5. Let u(s) be the first derivative of x(s). Determine j(u(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2272 - -40?\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Calculate 0.1 - -1267.44.\nAnswer: 1267.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -408884 bigger than -408858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48896809?\nAnswer: 13, 3761293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 124701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -2768, -4644?\nAnswer: -6520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (-5*((-2 + -1 + 1 + sqrt(468))*6 + 5))**2).\nAnswer: -1267290 + 37800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*(a*a\/a**(2\/27))\/a)\/a*a)\/a)\/a)\/a**(1\/3))\/(a**(-2))**(-1\/7) assuming a is positive.\nAnswer: a**(-131\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + -10)\/3 + 4. Are o and -2\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.5, -4, -845?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 110?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - (-7 + 4 + 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -507*l**2 + 9068*l + 86. Calculate r(18).\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201098 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 352 + -816. Let l = j - -474. Calculate the greatest common divisor of l and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-5)*(-45)\/(-6). Suppose 0 = -2*i + 3*w + 13, 4*i = -w - 7 + u. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14354 = -1579*a + 3015 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/10)\/(108\/(-120)))\/((-10)\/(-330))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-20) + (-5)\/25. Suppose -n*k - 933 = -4*s + 3*k, -1163 = -5*s + 3*k. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -7\/64496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 - 239*d - 6 + 2 + 2 + 34*d + 3. Let a(s) = -2*s**2. Calculate l(a(m)).\nAnswer: -20*m**4 + 410*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744 is divided by 176.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016878142 rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170591410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27035352 is divided by 533.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/((-3)\/1431). Let a = -51 - w. Let d = a - 140. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2 + sqrt(720) + sqrt(720) - sqrt(20))\/(sqrt(96)\/sqrt(6)).\nAnswer: 23*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -24733238255?\nAnswer: 24733238255.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14954*p - 5204*p - 25287*p.\nAnswer: -15537*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 19 = 3*i, 13*n + 24 = 17*n - 4*i. Let y be 2*4\/(2*1). Put y, n, 2 in ascending order.\nAnswer: n, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3870*u + 340544. Calculate k(-88).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o + 3 - 2 + 1. Let v(k) = k**2 - 3*k - 13. Calculate the remainder when w(-4) is divided by v(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 4. Let s be g(-3). Let x be (s - 4)\/(-4*(-1)\/(-10)). Suppose -10*h = -x*h - 555. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 192 and -0.13.\nAnswer: -24.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3509 and 580899?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/1)\/22)\/(2\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 - 10682465.\nAnswer: -10682542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(3) - (sqrt(27)*-1)\/sqrt(9))*-5 - (-2 + 1*sqrt(12)*3))*-3.\nAnswer: -3 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109055387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 105 = -5*x - 8*z, 0 = -2*x - 5*z - 30. Let p = -16 - x. Suppose -3*v = -p - 24. Calculate the remainder when 21 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 181192*x - 181188*x + 4*o + 24, -10*x = -5*o - 45 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -21*w - 297. Suppose p = 5*j - 0*p + 69, 0 = j - 2*p + 12. Let y be m(j). Which is the nearest to -0.4? (a) 3\/5 (b) y (c) 6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011001110101 + -11?\nAnswer: -1111011001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.886944km?\nAnswer: 2886944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3662*n - 858*n + 280629 = 1881*n - 77827 for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = -4984 + 4760 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2834*k + 115. What is t(0)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 9:15 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 111355 = 132455. Suppose -12*d - 3*d = -r. Is 43 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 58502, 5 in ascending order.\nAnswer: -5, 1, 5, 58502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4824.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -192 (b) -0.5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 8*u - 6. Let n be p(7). What is the common denominator of 38\/20 - (-1)\/(-4) and 27\/(-10) + (n - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2563, 5, 4 in decreasing order.\nAnswer: 2563, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1295.7 and -1.\nAnswer: -1296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 - -21011?\nAnswer: 12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t - 38 + 71*t - 7 - 9 - 4.\nAnswer: 85*t - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 + 2 = 0. Suppose 12 = a*f - f. Solve 2*h - f*n + 4 = -0*h, 3*h + 7 = 5*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -1, 32, 101, 218, 395, 644, 977?\n\"Answer: 2*h**3 - 5*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123551\/27 + -4577. Find the common denominator of v and 1 + (-34)\/22 + (-126 - -14)\/(-336).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18472508 is divided by 1113?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.91 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - d90a1?\nAnswer: -d90a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - -2) + 13 + -11 - (-106 + 106)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.037 - -0.263. What is the nearest to 11 in o, 1\/8, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -195*n**2 - 91*n - 91. Let x(s) = 13*s**2 + 6*s + 6. Let z(g) = -6*r(g) - 91*x(g). Let k(a) = -9*a**2. Determine z(k(t)).\nAnswer: -1053*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11606, -11602, -11598, -11594, -11590?\n\"Answer: 4*k - 11610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**3\/6 + 5*m**2 + 3*m. Let i be g(10). Let c be 2\/(i + -1) + 2. Solve -5 + c = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 7 + 2 + 5 + -2 + 259 + -248.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 3936 + 3936.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*16\/(-160)*-4. Solve 2\/11*j**n + 8\/11 - 10\/11*j = 0 for j.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p - 8*p + 0*p + (-4 - 3 + 6)*(1 - p - 1))*(32 + 15 + 6).\nAnswer: 265*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22583?\nAnswer: 11, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, 3, 12, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -24a839?\nAnswer: 24a842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -107, -211, -313, -413, -511?\n\"Answer: m**2 - 107*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4421 - -9062. List the prime factors of d.\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 6*z - 5. Let u be t(6). Let w = u + 9. Suppose -5*b = -2*y - 106, -5*y + 1 = 16. What is the lowest common multiple of w and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*p**3 + 40*p**3 + 3*p**3 + (-2*p - p + 5*p)*(p**2 - 4*p**2 + p**2) to the form g*p**3 + s + a*p**2 + j*p and give g.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-22)*8\/(-6)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(12\/11))\/(f**(4\/9)\/f) assuming f is positive.\nAnswer: f**(46\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3263994, 13, 1\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-248)\/7254)\/((-54)\/(-351)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179834.\nAnswer: 2, 3, 17, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 53539.8642855 and -0.1.\nAnswer: 53539.7642855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8)**(1\/13)\/(l**(2\/11)*l\/(l**(1\/20)*l)) assuming l is positive.\nAnswer: l**(1383\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/54*-6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9785 and 13110?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46646*q**2\/3 - 2612186*q\/3 - 560\/3.\nAnswer: -2*(q + 56)*(23323*q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (2 - 0) + -6 + 14 + -19.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -10. Let w = 5 + -9. Suppose 0 - 2 = -2*m. Which is the biggest value? (a) k (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(10\/(-12) + 12221\/14685). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r - 2*r + 2*a, -4*r + 5*a + 3 = 0. Suppose 6*g = 11*g + 2*z - 3280, r*g + z - 1313 = 0. What are the prime factors of g?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9781981.92 rounded to the nearest 1000?\nAnswer: -9782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**8\/336 - 3*n**7\/70 + n**6\/10 + 1349*n**4\/8 + 34*n**2 - 1. What is the second derivative of m(f) wrt f?\nAnswer: -20*f**3 - 108*f**2 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 54573526.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 6. Let f be p(4). Let h be (0 - (-1)\/3)*30. Suppose f - h = -y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12208\/6 + 210\/(-126). Round f to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x - 310111 + 880832 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - (13 + -9 - -2)) + (-6 - -3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*h - 423*h = -576. Which is the closest to 1? (a) h (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 564 and 9732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + -1 + sqrt(432) + -3*(0 + sqrt(432)) - 4*(1 + sqrt(432) + sqrt(432))*4))**2.\nAnswer: 528768*sqrt(3) + 17989776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -241477*s**2*x**2 + 3*x**2 + 66*x - 31 wrt s.\nAnswer: -482954*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 5, 0.13, 0.2, 3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/150 - 26*y**4\/3 - 13520*y**3\/3 - 410*y**2 + y. Suppose c(j) = 0. What is j?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2420, 2592, 2764, 2936, 3108?\nAnswer: 3280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 + 6*c**2)*(-4*c**2 + 2*c**2 + 6*c**3 - 4*c**3) + (c**3 - c**3 + 2*c**4)*(5*c - c - 2*c).\nAnswer: 16*c**5 - 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.819 - 0.121. Let k = g + -0.06. Let b = -118 + 114. What is the nearest to k in -3\/4, -1\/2, b?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4253978896 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91122117 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-20) + (-3)\/6. Let d = 4.1 - -30.9. Let f = d + -38. Which is the biggest value? (a) 4 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1005687 by 131.\nAnswer: 7677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = -9. Suppose 3*m - 4*o + 10 = 0, 4*o - q = 2*m - 2. Let x(j) = -j. Let u be x(0). Sort u, m, -5 in descending order.\nAnswer: u, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**7\/105 - w**6\/75 - w**5\/50 + w**4\/30 + 3*w + 1. Let m(s) be the first derivative of a(s). Find l such that m(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97324 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 1 + 7. Suppose 4*p + 32 = 4*c, 5*c - 32 = c - x*p. Suppose l = -i + 4*i - 26, 3*i - 2*l = 25. Calculate the least common multiple of i and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.53 + 202.97. What is q rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-5)\/20*2484\/(-23)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7721 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 10:05 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/31)*y*y\/(y*y\/((y**(1\/24)\/y)\/y)))\/(y**(-20)*y*(y**12*y)\/y) assuming y is positive.\nAnswer: y**(4447\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 326616379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - 4*c)*(37*c - 48*c - 99*c)*(5*c**3 - 3*c**3 - 4*c**3).\nAnswer: -880*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + c**2 - c**2)*(-c - c - 4*c) + 5*c**4 - 11*c**4 - 15*c**4.\nAnswer: -27*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6389 = -21*v + 20*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -3)*22\/6. Suppose -l*x = 8*x - 570. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {s: 1, d: 1, p: 1, q: 1, c: 2, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810 and 9.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -3216a?\nAnswer: 3216d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o - 73*o - 17 = 0. Let z(x) = x**3 + 7*x**2 + 13*x. Let g(u) be the first derivative of -u**2\/2 + 1. Let r(y) = o*z(y) - 5*g(y). Determine r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 1, t: 1, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/156)\/(91\/(-5772)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509855 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 8, -7 in ascending order.\nAnswer: -7, -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 105, 236, 419, 654, 941, 1280?\n\"Answer: 26*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/3 - 1177*f**2\/3 + 8410*f + 28752 = 0.\nAnswer: -1198, -3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/((-1)\/3). Let r = -2 - -1.7. Let v = r - -0.5. What is the closest to x in 4, -2\/41, v?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1918308055.\nAnswer: 5, 31, 47, 263323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 2. Let b be m(6). Let r(a) = a**2. Let y(f) = -5*f**2 - f + 5. Let d(p) = 4*r(p) + y(p). Calculate d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4 + 0*n - 3 + n. Let w be d(2). Let z(b) = 4*b - 4*b**3 + 3*b**2 + w*b**3 - b - 4. Determine z(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let m(x) = -5*x**2 - 3. Let k(i) = i**2. Let y(g) = -4*k(g) - m(g). Let w(b) be the first derivative of y(b). Calculate w(p(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 20 = d + 3*d, -20 = 5*d. Suppose -f*k + 11 = -9. Calculate the remainder when 16 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43797, 175239, 394325, 701067, 1095477, 1577567, 2147349?\nAnswer: 2804835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6864 divided by 8\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -935, -647, -359, -71, 217, 505?\n\"Answer: 288*c - 1223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, m: 1, c: 1, o: 1}. Give prob of sequence zz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*81\/(-126) - 6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkrjttknl. What is prob of sequence klnr?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*a + 187*a = -1040. What is the nearest to a in 4, -4, -2, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1668 + 56084*q**2 + 1668 + 28*q**3 - 72*q**3 - 56084*q**2.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 6bacc (base 16) to base 11\nAnswer: 2813a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1400 and 22985900.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52 - 11*y - 81 + 132 + (0 - 2*y + 0)*(1 - 6 + 3) - 6*y - y + 4*y.\nAnswer: -10*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3528*w - 6 + 3.\nAnswer: -3528*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7998, 16017, 24050, 32103, 40182, 48293?\nAnswer: 56442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 a factor of 829519160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -166, -248, -332?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/10 and ((-68)\/(-10))\/((-40)\/250).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61.1 + -199.9. Let f = w + 260.99052. What is f rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -121, -120, -119?\n\"Answer: u - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, b: 2}. Give prob of picking 2 b and 2 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 419406653 or 419406654?\nAnswer: 419406654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39050.04 litres in millilitres?\nAnswer: 39050040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wah when three letters picked without replacement from {c: 1, a: 4, w: 1, z: 2, h: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -2, 4 in decreasing order.\nAnswer: 4, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -30 + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -4 + 0 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = l + 25, 2*q - 9 = -l - 55. Is (-4)\/14 + (-1371)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-1 + -1 + 1). Suppose -5*k = -4*t - 35, 5*k + 14 = 7*k + 4*t. Suppose -i*l - 24 = -k*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + -9. Let q = j - -26. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26404739 to the nearest integer?\nAnswer: 5139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -908, -1842, -2760, -3662, -4548, -5418?\nAnswer: -6272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 15230*y + 5466*y + 5382*y + 5810*y.\nAnswer: 1428*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 186\/(-32) - 162\/864?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 + 313*i + 548. Let v(r) = -r. Calculate y(v(s)).\nAnswer: 5*s**2 - 313*s + 548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 5*f + 3. Let h be n(-6). Suppose -4*z - h = 3, -4*s = -3*z - 49. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -81*z**2 - 5*z - 41. Calculate a(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3869, -3760, -3651, -3542, -3433, -3324?\nAnswer: -3215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -13 - -1 - -20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (2 + 0 - -1) + (-200 - -184).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-256)\/(-6)*(-6)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7 = -3*c. Which is smaller: c or 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0*w**4 + 6*w + 0*w**3 - 5\/6*w**6 + 0*w**5 - 13\/2*w**2 + 0. Differentiate p(z) with respect to z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4 + g**3\/3 - 3*g**2\/2 - 3*g + 7. Let k(o) = 17*o**3 + 4*o**2 - 13*o - 13. Calculate -26*a(f) + 6*k(f).\nAnswer: -2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:52 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 66 = -4*h, k + 6 = -0*k + 4*h. Let x be 42\/k + (4 - 0). Let l be (-1)\/5*(-30)\/16. Which is the third smallest value? (a) l (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:56 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jojo when four letters picked without replacement from {o: 8, j: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 26, 23, 20, 17?\n\"Answer: -3*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 696 + 10*n - n - 4*n - 1397 + 701. Let o(a) = -644*a**2 + 98*a - 98. Let x(y) = -33*y**2 + 5*y - 5. Let f(w) = -5*o(w) + 98*x(w). Calculate q(f(k)).\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.889 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 588*r - 1110*r + 612*r.\nAnswer: 90*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 + -263. Let u(j) = 2*j**2 + 12*j - 3. Give u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -79 (c) -0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-4)*21*-1. Let b(r) = r + 23. Let j be b(n). Is (-1)\/j + (-1194)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 10*z**2 - 10. Let h be u(10). Let c = 6 + h. Let q(i) = i + 7. Calculate q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrnuz. What is prob of sequence nq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2187386 divided by -14486.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -406320.89 to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 5*c - 2. Let m be g(-3). Is ((-22)\/m + -2)*250\/4 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9088812 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = -0*p. Let v(y) = -12*y + 14. Let o be v(p). Let w(a) = a - 20. Calculate w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:07 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73674148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 0 - 1\/9*l**2 - 1\/9*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/1411 and -83\/136.\nAnswer: 11288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*k - 5*p - 15 = 405*k, 4*k - p = 24 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nizzningzniiniigiiz. What is prob of picking 1 n and 1 z?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1055 - -1061. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -120. Let v(k) = -k**3 + 4*k**2 - 7*k + 4. Let b be v(4). Let x = b - r. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 458758 + -702?\nAnswer: 458056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 5 (c) -4726 (d) 0 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 - 51*b**2\/5.\nAnswer: 3*b**2*(b - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0*l - l**3 - 2*l - l**2 + 2 - 3. Let x(q) = -10*q - 93. Let n be x(-9). Is d(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80, -140, -200, -260?\n\"Answer: -60*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-42))\/2*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 3*c - 2. Let r be q(5). Suppose -1892 = -30*v + r*v. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*t = -4*o + 25, 2*t - 10 = -4*o. Solve 3*u = -z - 8, o*z + 20 = z - 4*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogo when three letters picked without replacement from {f: 1, g: 2, o: 2, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = -15*r + 12*r + 125. Let y(k) = 3*k**2 + 2*k + 1. Let f(z) = 4*z**2 + z + 2. Let h(v) = -4*f(v) + 5*y(v). Give h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 33760.\nAnswer: 708960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -8, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 19*a - 23. Let w(f) = -2*f**2 - 36*f + 41. Calculate -3*w(s) - 5*x(s).\nAnswer: 6*s**2 + 13*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 300969.09 and -3.\nAnswer: -902907.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18) - (sqrt(18) - (sqrt(198) - -1*sqrt(198))\/sqrt(11)))\/(-4*(sqrt(6)*2 - sqrt(6))) - (-2 + -1 + 2*-3*sqrt(3))) + -4)**2.\nAnswer: -11*sqrt(3) + 367\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/9)\/((-2)\/162*3)*1. Calculate the greatest common divisor of 387 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.1868627.\nAnswer: 0.05605881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3 - 1636*p**2 - 18117*p = 0.\nAnswer: -11, 0, 1647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5661 + 5669. Solve 0 = 21*f + x*f - 145 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/120 - s**5\/20 - s**4\/12 + 38*s**2. Find u such that p(u) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 5*c + 1. Let o(q) = -9 + 314*q - 313*q + 9. Give -2*o(p) - v(p).\nAnswer: -p**3 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/2 - 6441*i\/2 - 48420 = 0. What is i?\nAnswer: -15, 6456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 0.2. Let q = 26 - 25.68. Let m = 1.68 + q. Put 0.3, m, h in descending order.\nAnswer: m, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/2730*-7*(-4)\/35*-9.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.8 - 8.8. Sort 1\/11, q, -5, -1\/6, 0.15.\nAnswer: -5, -1\/6, 1\/11, 0.15, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 680566 and 658.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -90.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -u + 384 - 49, -2*u + 640 = -5*d. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v + 2. Let m(o) = 1 - 9781*o + 4895*o + 4881*o. Determine -5*m(f) + 2*w(f).\nAnswer: 7*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 minus 2131502?\nAnswer: -2131501.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(0 + 4\/(-6)). Let t = 2 + n. Let m(z) = -3*z + t*z + 7 + 2*z. What is m(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 34*n**2 - 958*n + 4855. Determine t(6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 times 1001\nAnswer: 16016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*s**4 - 2*s**2 + 84*s wrt s?\nAnswer: -1848*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3225139707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/25*(-13)\/(5850\/(-125))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13007 divided by 3\nAnswer: -13007\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3081 - 3050. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:47 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 1. Suppose c + 2*c - 3 = 0. Let k = 2 - c. Let v be t(k). Solve 0 = r + v - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*q**2 - 81*q**4 + 90*q**4 + 4*q**2 wrt q.\nAnswer: 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6913 * -11\nAnswer: -7.6043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21102220110101 - 2?\nAnswer: 21102220110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30620471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (1*sqrt(2736))**2)*5.\nAnswer: -13680 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7786*-0.02\nAnswer: -155.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*s + 401, 3*s - 6*s = -3. Let p = 103 + h. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 71948.4 millennia?\nAnswer: 71948400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.049003 * -0.2.\nAnswer: 0.0098006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*z**3 - 2 + 40*z**3 - 47*z**3 + 4 + 3*z**3 - 4 + (0*z**2 - z**2 - z**2)*(5*z + 0*z - 3*z).\nAnswer: 23*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 0.3, -210, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44236*a**3 - 118198*a**2 + 1.\nAnswer: 265416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2101110012112 (base 3) to base 15\nAnswer: -1a0d3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -3461.9?\nAnswer: 1730.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-20))\/(1\/5). Let v(g) = 6*g**2 - g - 3*g**x + 6*g. Let y be v(-5). Calculate the greatest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + 2. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32083 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41652?\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 2*t - 12 = 0. Suppose -20 = 3*j + t*j, -4991 = -3*i + 5*j. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284648?\nAnswer: 2, 7, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.476454ug?\nAnswer: 0.000000008476454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -859630 divided by 14570.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a + 0*a + 5*a)*(-3*a**2 + 3*a**2 - 2*a**3) - 4*a**4 - 7*a**4 - 8*a**4 to u + d*a**2 + x*a + v*a**3 + h*a**4 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*h + h - 20 = 0, 0 = -k + 2*h - 14. Let l be (-3)\/(-6)*k\/(-1). Let o(b) = -b**3 + 4*b**2 - 2*b - 2. Give o(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749117?\nAnswer: 101, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.260136 rounded to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*f**3*n - f**2*n - 44*f*n + 2 wrt f.\nAnswer: 126*f*n - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4078281*a**3 - 7257221*a?\nAnswer: -24469686*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135910261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/150 and -91\/116.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.1898.\nAnswer: 0.3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0285968 and 14.\nAnswer: 0.4003552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99978469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-837)\/(-2))\/93 - (1 - (0 - 19))?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412810 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyza when four letters picked without replacement from {l: 3, y: 1, h: 6, z: 3, a: 1, m: 6}?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*x, -15 = -3*a + 5*x + 14. Let f = a + -11. Suppose -4*u - f*r = 2*r - 92, -2*r + 28 = u. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (0 + -1 - -1). Suppose -4*o + 5*o = x. Is o at least 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -225 (b) 1\/156 (c) 3 (d) 0.2 (e) 401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3350980 rounded to the nearest 10000?\nAnswer: -3350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -812*h**3 + 3*h**2 + 9*h - 3. Let y(p) = -p**3 - p**2 - 3*p + 1. What is 2*f(d) + 6*y(d)?\nAnswer: -1630*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 661985?\nAnswer: -3\/661985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001011000 (base 2) in base 15?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*s**4 + 0*s**3 + 0*s**3 - s**4 + 11*s**2 wrt s.\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3 (b) 296 (c) 7744\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**5\/60 - j**4\/8 - j**3 + 7*j**2 - 1. Let p(u) be the second derivative of l(u). List the prime factors of p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) - 136\/(-36). Suppose 0 = 2*u - j*u + 424. Suppose 0*v + u = 4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 15 = 3*t. Let u be ((-28)\/16)\/(t\/(-24)). Let b(p) = -2*p - 7. Let s be b(-6). Solve 0 = o - v - 7, v = s*o - u - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 - -1.9. What is the second biggest value in -0.3, k, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = z - 2*o + 7, 2*o + 3 = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**6\/24 - 3*d**5\/10 - 39*d**4\/16 - 4*d**3\/3 + 15*d**2\/2 - 1412. Let z(y) = 0. What is y?\nAnswer: -3, -2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -1450935, 3\/17 in ascending order.\nAnswer: -1450935, 0.04, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/((-7)\/((-56)\/12)). Let h = q + -26. Let f be h*1 + (6 - 6). Solve -k - f*k + 3*i + 27 = 0, -3*i + 3 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433907?\nAnswer: 31, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 + 118 = 0. Let x = -268\/7 + i. Which is the closest to x? (a) 0 (b) 0.3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6076 - -49972. What is the ten thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 22. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**2 + 11380*g + 6475220 = 0.\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 - 0.82. Let a = -0.95 - r. Let o = -0.31 + a. What is o rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 - 97 = 2*l, 0 = 3*l + h + 147. Let g = 20 + l. Let d = g + 100. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -498472, -25 in decreasing order.\nAnswer: -21, -25, -498472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -168, -161, -154, -147, -140?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*p = -5*y, 0 = -3*y + p - 1. Let z = -3.2627 + 0.2627. What is the closest to y in -5, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1535 and 2456?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 9898 = -4*w - 9974 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*l + 8 = 0. Let y(f) = -f**3 + 4*f - 2. Is y(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 2:18 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c - 63*c + 24616 = 63*c + 29*c for c.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 36. Let a(r) = 2*r - 2. Let q be a(3). Suppose -q*m = 14 - 42. What is the remainder when f is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14833, 59582, 134163, 238576, 372821, 536898?\nAnswer: 730807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - -8)*-18*(-210)\/(-1). Suppose -68*t - w = -82*t. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -21. What is the greatest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 915710 or 3.36?\nAnswer: 915710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttkktktkdd. What is prob of picking 1 k and 2 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**3 + 2671790*g**2 - 220835378*g.\nAnswer: 48*g + 5343580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 13*c**2 - 29*c - 10. Let d be v(15). Suppose -5*k = z - 11, 5*k = d*z - 1 + 6. Calculate the lowest common multiple of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66680 is divided by 16545?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5552 - 0?\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 1\/6*j**4 - 46 + j + 25\/2*j**2 - 10\/3*j**3. List the prime factors of q(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 - 27 = -7*u. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-193086)\/643620*3\/((-3)\/(-55)).\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 + 628*n - 9870 = 0.\nAnswer: -329, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6912, -13795, -20682, -27579, -34492?\n\"Answer: -x**3 + 4*x**2 - 6888*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 221419140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 33 = -5*a - 10, 5*a - 11 = -2*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, -9 in decreasing order.\nAnswer: 24, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*b - 10*b - 9*b - 33*b)*(1 + 0 + 2) as i*b + f and give i.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7*j + 72. What is the remainder when -3 - (-6)\/4*24 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 473139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 + 17.77. Let d = -27 + 45. Let m = d - g. What is the closest to m in 4\/3, 2\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 805495.\nAnswer: 16109900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o + 13*o - 5*o - 70 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371 and 1057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 16*y - 9. Determine b(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, h: 4}. What is prob of sequence hh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2549 less than -188.37422?\nAnswer: -188.62912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*c - 157 = -c + 659 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - ((1 + sqrt(180) - sqrt(180)) + 2)) + -1)**2*3.\nAnswer: -144*sqrt(5) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.37 - 12.37. Which is the nearest to 0.15? (a) -0.2 (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (700\/60)\/(240\/32).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5946.6 and -83.\nAnswer: 493567.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 33. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1357 = 207*o + 5497 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9380 divided by -1.\nAnswer: -9380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1226.4, -4, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 40, -755 in increasing order.\nAnswer: -755, -29, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 160417 divided by 41\nAnswer: 160417\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - 4*o)*(-o + 3*o + 0*o) + 99*o**2 + 1 + 71*o**2 - 229*o**2 + o.\nAnswer: -63*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28525418 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69409450 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2473.6 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17467653?\nAnswer: 3, 7, 17, 113, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:33 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*f + 48*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*g = -270, -12 = -4*g - 0. Suppose 13*r - 85 = -826. Let z = a + r. Which is bigger: z or 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/1 - (1 - 18). Suppose 0 = y - 3*y + 48. Suppose x*b = 9*b + y. Let r(k) = k + 1. Let i(p) = -2*p**2 + 8*p + 6. Give b*r(l) - i(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-2)*-24169*2. Let t = 87521 + s. What is t rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -3*o**4\/8 - o**3\/2 - 3*o**2. What is the units digit of u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 1:23 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10486 and 402290?\nAnswer: 43045030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*sqrt(5)*1 - (sqrt(80) + sqrt(5) + -2))**2 + ((sqrt(15)*2*3)\/((sqrt(54)\/sqrt(3))\/sqrt(6)))**2.\nAnswer: -216*sqrt(5) + 2634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23981.\nAnswer: 23981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**2 - 9401*z**3 + 0*z**2 + 1 - 39*z**4 + 9398*z**3 wrt z.\nAnswer: -936*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2618 (base 11) to base 4.\nAnswer: -311033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8527800 to the nearest 100000.\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11873, 47495, 106873, 190013, 296921?\n\"Answer: w**3 + 11872*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 14*a**2 - 4*a - 25. List the prime factors of q(13).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 4*o**2 - 6*o - 3. Let g be j(-2). Suppose 607 = g*c + 13. Which is smaller: 67 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 29*d**2 - 14*d + 13. Calculate h(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = -3*o + 13*k + 44, 0 = -2*o - 5*k - 15. Let y(c) be the second derivative of -c**4\/12 + 3*c**3\/2 + 3*c**2 + 7*c. Calculate y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 404.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 - -118. Suppose -x = 5*t + 674, 0*x + 4*x + 4*t + 2760 = w. Let r = 7640\/11 + x. Which is bigger: 8 or r?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 7) in base 4?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 13*y + 4*y + 444*y**2 + y**3 + 2*y**4 + 252*y**2 - 2*y to r*y**2 + m*y + a*y**4 + k + v*y**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**3 + 6*i**2 + 2*i - 2. Let t(g) = -g**3 - g**2. Give h(m) + 6*t(m).\nAnswer: -m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (964\/3 - (-3)\/(-9)) + -3 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 306*m**2 + 10404*m - 117912.\nAnswer: 3*(m - 34)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1907092*t**3 - 2*t**2 + 6788472 wrt t.\nAnswer: -5721276*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-43))\/c*c)\/c*c*c**(7\/3) assuming c is positive.\nAnswer: c**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1104 - -1101. Let m(v) = -2*v**3 + 3*v**2 - 5*v - 2. Let f(u) = -u**3 + u**2 - 3*u - 1. Determine n*m(j) + 5*f(j).\nAnswer: j**3 - 4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x + 118994 + 130402 = -1384554. What are the prime factors of x?\nAnswer: 2, 3, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/4 - -4. Which is the second biggest value? (a) -2\/13 (b) -5 (c) 1.4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u = 39 + 121 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, v: 4, j: 2, t: 2}. What is prob of picking 1 j, 1 t, and 2 w?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 429 times -3\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/48334 and 11\/11271?\nAnswer: 41905578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -19 (b) -4 (c) 1\/6 (d) -0.3 (e) -130\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*p - 351*p + 5323 + 45*p.\nAnswer: -388*p + 5323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 + 3 + (-1 - 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r. Let n be l(-1). Suppose 2*h + 6 = n*h. Suppose a - 4*a = -4*a. Solve a*x = x + h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*x + 94. Let s be 11\/6 + (-2)\/x. Suppose -5*g + 216 = s*i, -3*g + 5*g - 2*i - 78 = 0. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3784727 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150981 is divided by 3355.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/76 - -307\/228. Let k(l) be the first derivative of 0*l**2 + b*l**3 - 9 - 4*l. What is p in k(p) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 2*-7*4\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 167, 384, 679, 1046?\n\"Answer: -q**3 + 48*q**2 - 4*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 61 = -5*y, 6*m + y = 11*m + 21 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 + 5.5. Let i = x - 2.9. Which is the second smallest value? (a) -2 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0593018 take away 0.4?\nAnswer: -0.3406982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5308 (base 9) to base 3.\nAnswer: -12100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -911048912 divided by -227762228\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 4*n - 12 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*p - 3*f, -7*p = -2*p + 5*f - 45. Solve -p = 2*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + f + 928, 5*f - 1868 = -5*c + 482. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*g**2 - 79*g**2 + 141*g**2.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 100111 (base 3) to base 13\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = 81 + 109 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**3 + 60771*w**2 - 2*w - 33957?\nAnswer: 12*w + 121542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56515\/16 + 3529. Calculate the common denominator of w and 69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/17, 5, -3.\nAnswer: -3, -1\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o + 49*o = -64 - 49 + 77 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 250896?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/10 + (85\/25 - 3). Let m = 184 - r. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640121 = -45*k - 330979. What is k rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -12 - 3. Let h = 4 - p. Suppose 5*m - 66 = -2*q, 2*m - 30 = q - 0. What is the highest common factor of h and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2396.572 litres?\nAnswer: 2396572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69975 = -9*g + 8577. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -275 + 129. Suppose -y = -2*o + 2, 4*y - 4*o = -55 + 51. Is y smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - 0) + (-357)\/27 + 18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2 + 21\/(105\/170). Let f(i) = i**3 - 6*i**2 + 3. Let r be f(6). Suppose v = r*k + 3. Is 7 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - x - 12. Suppose x*r + 13 = 2*r. Let q = r - -28. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(363) + (sqrt(363) + -1 + sqrt(363))*-5) - (-1 + sqrt(363) + 3)*-6) + 1 + 4)**2.\nAnswer: -2772*sqrt(3) + 640341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3692\/9469 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**7\/14 - s**6\/5 - 3*s**5\/20 + s**4\/2 + 10*s. Let a(i) = 0. Calculate i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 365954 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose 14 + 6 = h*n. Let x(f) = f**2 + 2. Let d(r) be the second derivative of r**4\/6 + 5*r**2\/2 + 986*r. Calculate n*d(p) - 10*x(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 22*i + 96. Let b be o(6). Let q be 68\/782 + b\/23. Let c = -153 + 263. What is the highest common divisor of q and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 10*z**2 + 10*z - 15. Let r be x(10). Let p be r - 20\/(-5)*-1. Suppose -p = -5*m + 79. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137433555 to the nearest integer?\nAnswer: 11723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000001111 (base 2) in base 5?\nAnswer: 144114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + f - 22 + 32*f + 20*f.\nAnswer: 53*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4 - 8.6. Let h = -0.02 - 11.98. Let o = h - f. Which is the nearest to 1? (a) 0.3 (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*m - h, 3*m - 3*h = 177 - 162 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 10655\nAnswer: 112\/10655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -100?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q + 10. Determine k(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.816 - -7.856. What is the third smallest value in 2\/13, s, 19, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*p = 189*p + 28. Solve -p*i + 34 = 62 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1080*l. Let k(x) = 3*x. Determine k(b(n)).\nAnswer: -3240*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -385? (a) -16\/7 (b) 0.4 (c) -10 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i + 16. Let m be l(-2). What is the second derivative of -7*u**2 + 21*u + m*u**2 - 11*u**2 - 11*u**2 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*81\nAnswer: 226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 8*r - 5. Calculate the remainder when l(6) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8664 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*i + 3 - 3*i**3 - 12*i - 12*i as r*i + p*i**2 + k*i**3 + c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 14*f - 27\/2.\nAnswer: -(f - 27)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 15 = -0*y + 4*y, 0 = 2*y + 4*a + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 + -79. Suppose -2*z = -4*z + b. Suppose u = -0*u + z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 3, c: 3, s: 2, h: 1, v: 1, b: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 - -2. Let o = -99.31 + 99. Let j = -4.69 + o. Which is the biggest value? (a) j (b) 1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 361\nAnswer: -25\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 95. Suppose 3*v - 26 + 38 = 0, -2*z - c*v = -2306. What are the prime factors of z?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4992 and 11211?\nAnswer: 16203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1516655.\nAnswer: 5, 7, 17, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 39. Which is the closest to 1? (a) 0.4 (b) y (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (sqrt(363) + sqrt(363) + -1*sqrt(363))*3 - sqrt(363) - (sqrt(363) + 0 + -2))**2.\nAnswer: -176*sqrt(3) + 5812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 + 1337 = 299*f - 1954. Which is the biggest value? (a) 4 (b) -0.5 (c) 2\/33 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 18418*v\/5 + 11787528\/5.\nAnswer: 2*(v + 692)*(v + 8517)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 403488983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 7*i**2 - 5*i - 3. Suppose 0 = -4*d - 0*d. Suppose d = -0*w + 5*w - 25. What is the remainder when c(w) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/3119194 and 63\/10.\nAnswer: 15595970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083*z - 542*z + 115 = -5*d + 546*z, 2*d + 19*z = 416 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 60\/96 - ((-7134)\/(-16))\/29?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2791268 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*v - 57 + 105. Let m be (-376)\/39950*(-15)\/v. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003257 rounded to 7 decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10*(-3)\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1, 5, -0.09?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*4\/6*3. Let z = b + 16. Let o(f) = -2 + z + 4 + 2*f. What is o(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12851046*w**2 + 11312867*w?\nAnswer: 25702092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ab8 (base 13) in base 4?\nAnswer: 130301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 21*a - 75. Give t(-6).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 - (4 + -2) - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - (-19 - -26)) + -18 + 41\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4445 + -4444. What is the smallest value in -4\/5, l, 13\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1929159, -3858509, -5787859, -7717209?\n\"Answer: -1929350*p + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 6*l + 2*l + 0*l - 19512.\nAnswer: -8*l - 19512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*p + 3*d + 8, 3*p - 5*d = 37 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 3*l + 3. Let n(q) = -q**3 + q**2 + 5*q + 6. Let y be n(-3). Suppose y = -10*p + p. Give x(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v**2 - 5*v - 8. Suppose -2*j + j = 1. Let c(g) = g**2 + g + 1. Calculate j*x(o) - 6*c(o).\nAnswer: 2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + (5 - -1) - (257 - 234))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 79965.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 832 + -208. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000221322 (base 4) to base 6\nAnswer: -34310534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -56. Solve 7 = 4*n + m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 + 206. Let a(u) = -32*u + m*u - 25*u. Let w(i) = 41*i**2. Give a(w(l)).\nAnswer: -123*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -2*b**2 - 4. Let n(d) = -2*d**2. Give m(n(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Suppose -15 = -3*d, 0*t + 2*d = 3*t + 13. Let a be w(t). Is 3\/50 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2046\/7*q - 3\/7*q**2 - 348843\/7 = 0.\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1246*n + 1262*n - 2501*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.547131568 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*s - 7*s + 7*s)*(-4*s - 2*s + 0*s) - s**2 - 1 + 1 + (-2*s - 2*s + 2*s)*(-2*s - 3 + 3) + 0*s + 0*s - 2*s**2 in the form r + t*s**2 + i*s and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*p = -2. Let n = 1 + p. Suppose n*r + 9 = r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 111*y + 2843. Let w be h(-71). Solve 3*g = w, 3*c - 5*g + 10 + 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -448, -449, -450?\n\"Answer: -p - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 17*o**2 + 47*o - 135. Let k be s(17). What is k rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 1186 - 3*l**2 - 2*l**2.\nAnswer: -l**2 - 1186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -4*n - l - 167, -20 = -4*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/97, -0.27, 26\/955?\nAnswer: 26\/955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 18541862.\nAnswer: 37083724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 46. Suppose 6*a = 2*a + 2*l + c, -a + 5*l + 31 = 0. Suppose -8*u = -a*u - 58. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 51.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*v**3\/5 + 838746*v**2\/5 + 372752*v\/5 + 41416\/5.\nAnswer: 2*(v + 5177)*(9*v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**2. Let i(c) be the first derivative of -8*c**3\/3 - 2*c + 3861. What is i(l(n))?\nAnswer: -288*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1648 and -1648 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12561632*d + 11149721?\nAnswer: -12561632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 22 + 3 = 3*f, -3*p - 15 = 4*f. Suppose -3*h - k + 6 + 15 = f, 0 = h + 4*k - 18. Calculate the lowest common multiple of h and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**5\/20 + 119*k**4\/6 - 7198*k**3\/3 + 13924*k**2 + 503*k. Factor t(q).\nAnswer: -(q - 118)**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 8) to base 13\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 431567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -29*k**2 + 19*k**2 - 105*k - 64 - 541. Let g(t) = t**2 - t. Let p(j) = -5*g(j) - o(j). Factor p(l).\nAnswer: 5*(l + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**3*w*y - 3*i**3*y + i**2*y + 4*i - 150933*w**2*y - 2*w*y - 128*y + 7 wrt w?\nAnswer: 3*i**3*y - 301866*w*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 160855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 45 and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*x**2 - 361*x**2 - 388*x**2 + 1291*x**2.\nAnswer: 146*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-122)\/14 + 2\/(-7). Let i(k) = -k - 4. List the prime factors of i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/15)*i*i*i**(-2\/13)*i\/((i\/(i\/(i\/(i**(-5)*i))))\/i*i)*i*i**(-1) assuming i is positive.\nAnswer: i**(-394\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 27289081?\nAnswer: 27289071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - -0.5. Which is the closest to -3\/7? (a) 5 (b) q (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-8))\/(((-756)\/(-36))\/336)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1890 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -468979 to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1338 (b) 2\/11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 58*c + 56*c - 12 = 0, 0 = -3*c + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 3*l**2 - 4*l + 3. What is the lowest common multiple of o(5) and 6 + 6354\/126 + (16\/(-14))\/(-2)?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + sqrt(931)*-2)**2 + sqrt(931))*3.\nAnswer: 21*sqrt(19) + 2793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**3 + 2*g**2 - g. Let t be w(1). Let s(p) = 2 + p**2 - t*p + 2*p**2 - 3 - 4*p**2. Is s(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 9*j - 14 = -5*j, 5*v - 45 = 3*j. Solve 0 = 4*x - 2*x - v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = -3*x, 0*a - 5*a + 4*x = -31. Sort a, -1, -50, -5 in descending order.\nAnswer: a, -1, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 1001\/4*k**2 + 1618\/3*k**3 + 2933\/8*k**4 + 20\/3*k**6 + 49*k - 524\/5*k**5 - 51. Let x(v) = 0. Calculate v.\nAnswer: -2\/5, -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2777, 2631, 2491, 2369, 2277, 2227, 2231?\n\"Answer: 2*r**3 - 9*r**2 - 133*r + 2917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a = -69 + 173 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**5\/20 - 5*v**4\/6 + 11*v**3\/6 + 9*v. Let d be f(-11). Solve n = -d*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1359\/9274 or 0?\nAnswer: -1359\/9274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6846*q - 7435 = -7241*q + 5995 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77433401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19548200 or 19548202?\nAnswer: 19548200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 + 21*q + 9*q**3 - 21*q.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 10:15 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**4\/24 + 11*x**3\/6 + 3*x**2. Let j be p(-6). Let u be (20\/(-8) + 3)*0. Sort j, u, -3.\nAnswer: -3, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 7*s + 18*s = 60 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43143422 (base 7) to base 12\nAnswer: 129272b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -7*i + 1, -c - 15611*i + 15609*i = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3+310\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -25*t**2 - 8*t**4 + 112\/3*t**3 + 6*t - 11. Factor i(g).\nAnswer: -2*(g - 3)*(4*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0089275169 to four decimal places.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -34. Suppose 5*r - 62 = f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -1\/2*i**2 - 1\/3*i**3 + 4 + 2*i. Find a such that t(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ihifiisuifhisffh.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 take away -10.3?\nAnswer: -33.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 6 + 9. Let o be ((-4)\/(-3))\/(1 + n). Suppose 5*x + 17 = -4*p, 5*x - p + 30 = 3. What is the closest to x in -3, o, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, z: 1, n: 4, u: 2, s: 1}. Give prob of sequence nzus.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, -1.39, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*l - 5*a - 2, -2*a + 12 = 4*l. Solve p - o = -1, 3*o + 5 = -p - l*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32331302 + -2?\nAnswer: -32331310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 5:01 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 0)\/(1 - 0). Let r be 0 + 26 + 2 - 2. Suppose o = u - 4*u - 2*q + r, 5*u - 5*q = 10. Calculate the remainder when 16 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-35) - -1)*((14 - (-10 - -5)) + -9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 192622 and 192801 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p + 3*p**3 - 1 - 33*p**3 + 8*p**3 + 10*p**3 + p**3 to a*p**3 + i*p + m*p**2 + h and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/10*(3 + (-22)\/(-6)). Suppose -y*l = -15*l - 45. Suppose 0 = l*i + 10 - 25. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4887 + -3736. Is w a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 b when three letters picked without replacement from oyeebbbeee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 - 100*l - 620. Let x be r(-25). Suppose 3*c + 12 - 30 = 0. Let j be (5\/(-4))\/(c\/(-30)). Is j smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 6.7. Let x = -10.9 - f. Let j = 0.3 + -0.32. Which is the biggest value? (a) j (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 times 5.5?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (18 + (-1095)\/60)*-568732 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.31647 and 1.2?\nAnswer: -2.779764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 9. Let s = 755103 - 755106. Sort d, -1\/7, s in decreasing order.\nAnswer: -1\/7, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 4*p - 14 + 15. Let n = -33 + 30. Let l(k) be the second derivative of k**3\/3 - k**2 - k. Calculate n*l(a) - 8*r(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38763544 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2095 + -25705.8.\nAnswer: -23610.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14176*0.3.\nAnswer: -4252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v + 11. Let u be ((-2)\/(-2))\/(1\/2). Suppose 0 = -u*s + s. Calculate i(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 953, 4370, 10067, 18044, 28301, 40838?\n\"Answer: 1140*g**2 - 3*g - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10410.4 - -10342.3984. Let o = 2554 - 2486. Let a = p + o. Round a to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.26 - 77.94. Let w = j + 81.2. Put 1\/3, -4, w, -41 in increasing order.\nAnswer: -41, w, -4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2652\/364 + 5*-1 + -2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 841*c**2 + 4899*c**2 + 2492*c**2.\nAnswer: 8232*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173912?\nAnswer: 2, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4 + 45*j**3 + 2167*j**2 + 6171*j + 4050 = 0 for j.\nAnswer: -27, -2, -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -36432700 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.7622512 minus 0?\nAnswer: -87.7622512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-3 + 1))\/(7 - 21).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 313 + 327. Let a be q\/(-12)*(60\/8)\/(-5). Calculate the highest common factor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1. Suppose q - s*q + 360 = 0. Suppose 2*l + 3*l = 60. What is the highest common factor of q and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/13)\/p)**(-12\/19)\/((p*p\/p**(-1\/19)*p)\/p*p\/(p*p*p\/(p**(-8)*p*p*p))) assuming p is positive.\nAnswer: p**(1354\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77477 is divided by 520?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5487.1? (a) -4 (b) 0.677 (c) -3 (d) -0.2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0, 7386, -2\/77?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Suppose 2*c + 8 = 4*f + 24, 0 = -4*f - m. Solve 0*r + c = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 69105*v**2 - 1 + 33*v - 35*v - 1543*v**2 + 0.\nAnswer: 67562*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013539324 to 7 dps.\nAnswer: 0.0001354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/40 in 4, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3875 is divided by 95.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 314 + 281 = 0. Put 4, s, 13 in decreasing order.\nAnswer: 13, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -r - 10, 3*r + 1063 = -l + 1055 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at least as big as -135\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/3)\/(4\/(-6)). Let r = -6 - f. Let g = 35 - 173\/5. Which is the second biggest value? (a) 5 (b) -3 (c) r (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 27. Let l be 2 + 3 + (1 - 1). Put s, -3\/4, l in descending order.\nAnswer: l, s, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {u: 2, h: 1, j: 1, p: 1, e: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 9 = -5*q - 0*z, 17 = q - 3*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -0.5, -2, 13, -3 in descending order.\nAnswer: 13, 5\/6, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 + -105. Suppose 3*c = -3*a + z + 22, -5*c = -3*a - 13. Solve 7*o - 4*o = 15, -5*l + c*o = 35 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9095709 or 9095715?\nAnswer: 9095715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2555, -2553, -2551, -2549, -2547?\n\"Answer: 2*w - 2557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -322, -1 in decreasing order.\nAnswer: 5, 0, -1, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 787950227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26036010 and 1312740.\nAnswer: 156216060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**3\/3 + 7*n**2\/2 + 4*n + 1. Let b(f) = -3*f + 1. Let h be b(-1). Suppose h*i - 12 = 0, 3*l + 8*i - 5*i = 0. What is g(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1848 and 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -39. Let r(o) = 2*o + 14. Is r(u) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -72. Let v be 2\/169*15\/(-10)*1. Which is greater: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010110011000000 (base 2) to base 16\nAnswer: 22cc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-84)*(-20)\/(10\/2)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 342.7 + -343. What is the biggest value in x, -2, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362732593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -181, -216, -407, -832, -1569, -2696, -4291?\n\"Answer: -13*r**3 + 56*r - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 3*i + 16. Suppose 0 = 1545*t - 1557*t + 1704. What is the remainder when t is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**15)\/(z**(3\/11)*z) assuming z is positive.\nAnswer: z**(-168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40865 and 1045?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 253263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1758*r**3 + 1257*r**3 - 931*r**3.\nAnswer: 2084*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 4:00 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2811*f**4 - 3*f**3 - 4*f**2 - 1026453.\nAnswer: -11244*f**3 - 9*f**2 - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/20)\/(5\/((-75)\/(-18)))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 867\/51 - 57.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g - 1. Let u(v) = 2*v. Calculate r(x) - 5*u(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2422*u**2 - 8*u - 30. Let j(b) = 1616*b**2 + 5*b + 21. Determine -10*j(v) - 7*z(v).\nAnswer: 794*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -29. Put -0.4, u, -0.2, -4 in descending order.\nAnswer: u, -0.2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 324.\nAnswer: 11\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 3. Let z(p) = -p + 1. Let d(b) = -y(b) + 6*z(b). Let o be d(2). What is the closest to -0.2 in -2\/17, o, 1\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112753732001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, k: 1, y: 1, j: 1, h: 1}. What is prob of sequence ujyk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*u**3 - 963714*a*u**2 + 400134*u**3 wrt u?\nAnswer: -6*a + 2400804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13830 + -7337. Calculate the greatest common divisor of 172 and i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 87, 146, 223, 324, 455, 622?\n\"Answer: f**3 + 40*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 4.37637.\nAnswer: 65.64555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*x - 33*x + 135*x + (-4 - 1 + 7)*(4*x + 0*x - x).\nAnswer: 157*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/60 - 11*b**4\/6 + 14*b**3 + 237*b**2. Let n(k) = 0. What is k?\nAnswer: 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 12*182\/(-104)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15252 - -15255. Let u(h) be the first derivative of 0*h + 28\/3*h**z + 4*h**4 + 12 + 0*h**2. Find the third derivative of u(n) wrt n.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130204 is divided by 2881.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 9*v - 15*v. Suppose 4*f + 12 = v*f. Let g(p) = -9*p - 4 + 6*p + f*p. Determine g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/((-24)\/6)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5544.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, -1, -12, -39, -88, -165, -276, -427?\n\"Answer: -t**3 + t**2 + 3*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3 (c) -1 (d) -3 (e) -0.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/10)\/((-18)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17 + 23 + 6 + 19 + 54*a wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -2\/13 (b) -2\/33 (c) -0.54 (d) -3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (230\/(-575))\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 2. Let k(g) = 233*g + 15. Calculate 3*k(f) + 21*p(f).\nAnswer: 720*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -199, -251, -333, -451, -611?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (162\/(-8))\/(9\/36). Let q = d - -242. Suppose -5*k + q = 1. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217 + 394. Let p(b) = -50*b - 275. Let o be p(-3). Let w = y + o. 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 the common denominator of 86\/21 and 35\/226918266?\nAnswer: 1588427862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-5)\/15*3. Suppose c*n + 0*n - 30 = -2*t, 0 = n - 4*t - 6. What is the derivative of 38 + 16*d - n - 41*d + 18*d wrt d?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1475 + -761. Calculate the greatest common factor of g and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 + p**2\/2 + 7*p + 8. Is 7 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 19*b + 83. Let f be z(23). Let p be -5 + ((-21)\/(-4) - f\/(-36)). Solve -2*a + a = p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 2*g + 3. Let o = 12 + -10. What are the prime factors of y(o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4711 - y**2 - 4880 - 4861 + 14634.\nAnswer: -y**2 + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7092 and 14?\nAnswer: 49644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 7*b + 7. Suppose w + 77 = 83. Let a(h) = -h**2 - 6*h - h**2 + h**2 - 6. Let q = 8 - 1. Give q*a(r) + w*z(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44.0553 decades?\nAnswer: 440.553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tctttccttttc. Give prob of sequence ct.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-4)\/(-2) + 1). Let v be -92*(10\/2 - 3). Let g be (-1)\/((-12)\/9 - v\/120). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 3*r = -2*y - 66, y + 4*r = 23. Let z(m) = -25*m. Calculate the remainder when z(-1) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 17 = 7. Let h(n) = 2*n**2 + n + 10. Let o be h(0). Let g = o + y. What is the lowest common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-18) - 4141\/(-3).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*q - 38 = 0, 7*t - 5*t - 4*q = -4. Solve 5*b = -4*x + t, 2*x + 10*b - 5*b = -2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18405, 18406, 18407, 18408, 18409?\nAnswer: 18410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 3*q + 352. Let t = q - -36. Let z(u) = 9*u + 81. Let w be z(-8). Solve t*j = j + w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*m - 171 = 0, -2*v - 2*m + 156 = -0*v. What are the prime factors of v - (-1 + -2 + 2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 16*p**2 + 16*p + 18. Let j be c(-15). Solve -j*a + 15 = -2*z, -4*a - 4*z + 2 + 18 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*w = 9, -8 = 2*v - 7*v - w. Let o(a) = 1 - v - 3*a. What is the units digit of o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 7. Let q = h - 6. Suppose 0 = 2*r - q*x - 30, -71 = -5*r + 3*x - 2*x. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66250027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*h - h + 3*z, 3*h + 6 = z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0 + 0 - 6*l - 2. Let o be c(-5). Is 807\/7 + (-8)\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 163451906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from popbfpzofff?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 653432.9l in millilitres?\nAnswer: 653432900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 3*b + 1. Let z be v(-4). Let o(u) = u**2 + 2*u + 1. Let c be o(z). Let a be (-2)\/c - 9\/(-2). Solve a*h = -h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 1. Let j be n(-2). Find the second derivative of -4*x**j - x + 5*x**5 + 0*x wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000000111011011011101 (base 2) to base 16\nAnswer: 2076dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -391 <= -391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 9*w**2 - 6*w - 12. Determine c(-5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266106 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000089244 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 940 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-152)\/(175560\/21861).\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 8, 2, -3, -14.\nAnswer: -14, -4, -3, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/23 - -14\/69. Let x = 13349 + -13328. What is the closest to x in -4, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:06 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233258745.\nAnswer: 3, 5, 29, 536227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 145?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.958 + -3.042. Let v = 8 - 11. What is the closest to -1 in w, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2220 + -2221. Let f be 4\/(-34)*1\/2. Is f greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6 = 3*w, 5 = -2*a - 1. List the prime factors of (3 - (0\/3 - 1151))\/w.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/195*(-4 - (-77)\/28).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.35871 millimeters to centimeters.\nAnswer: 0.335871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/16 and 41\/162496?\nAnswer: 162496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30914 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18519, 37036, 55553, 74070, 92587, 111104?\nAnswer: 129621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*i**3 - 19*i**3 - 11*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*u + 77*u + 22 = 0. Solve -3*t - 6*f + f + u = 0, 0 = -5*f + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333 times 3.8?\nAnswer: -8865.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2447268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n - 9. Let d be ((-3235)\/n)\/((-182)\/6). Let a = -29\/91 - d. Calculate the common denominator of a and -107\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43326232 + 1?\nAnswer: -43326231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141411 (base 7) in base 11?\nAnswer: 19288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*o**3 + 2 - 1136*o - o**2 + 1136*o.\nAnswer: 333*o**3 - o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-111 - (-72 - -7)) + 54\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, x: 2}. Give prob of picking 3 z and 1 x.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 5. Let u be f(-4). Let p = 0 + u. Let n be ((-6)\/(-21))\/((-3)\/(-9)*3). Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 + 24*a**2 - 13*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 99*l - 817. Let k be r(39). What is the third smallest value in -6\/7, 4, -4, k, -3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -106. Suppose -875 = -m + 4*n, -8*m + 4*m + 5*n + 3478 = s. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*o = -332, 0*u + 4*u + 244 = -3*o. Let l be (-4)\/(-6) - u\/(-72). Which is the biggest value? (a) l (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629090 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k - 1. Let c(n) = -4*n - 1. Let q(o) = -2*c(o) + 3*d(o). Suppose 4*z - 496 = -3*a + 45, 4*a - 718 = -2*z. Let h = 178 - a. What is q(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/8*i**2 + 3\/2*i - 15\/8 = 0. Calculate i.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 78.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*q + 25*q + 28. Calculate the remainder when 13 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1082569857 or 1082569858?\nAnswer: 1082569858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24738 and 146010.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 41.78577 days?\nAnswer: 3610290528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 6*q**2 - 26*q - 32. Determine t(-4).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, -0.004, -4 in ascending order.\nAnswer: -4, -0.3, -0.004, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 16028 = 5*x, 4*t = -6*x + 5*x + 3188. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11.9 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -15. Let j = 11 - v. What is the least common multiple of j and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 36 + 69. Suppose -2*c - i - 7 = 0, 4*c - o = 5*i - 70. Does 11 divide c\/4*(-3040)\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-23) + 455*130\/(-575575)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 749 - 103 = -78 - 472 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5025\/8708 - 7\/1244. Put -4\/7, 4, 127, m, 0.4 in descending order.\nAnswer: 127, 4, m, 0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-98)\/(-6)*(-4 - 2). Let o be 4\/(-18) + x\/(-36). Let f = 5 + -9. Which is the third smallest value? (a) f (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*r**2 + 1409*r**2 - 721*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 801168983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276068 is divided by 190.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220794 (base 14) to base 2.\nAnswer: -100011001101110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*((b*b\/(b\/b**3*b)*b)\/b*b)\/b*b*b*b\/b**(-3))\/(b**(-6)*b**0))\/((b**3*b**(-4))\/((b*b**(-3\/4))\/b*b**(-2\/11))) assuming b is positive.\nAnswer: b**(751\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2. Let j(a) = -2*a**2. Let t(m) = -5*j(m) + 3*v(m). Let s(q) = -33*q**2. Determine s(t(n)).\nAnswer: -132*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 10, 1, -5 in increasing order.\nAnswer: -5, 1, 3, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 200e78 (base 16) in base 9?\nAnswer: 3851744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 = s. Suppose -5 = 4*g - s. Let c(k) = k**3 - 9*k**2 + 8*k + 57. Let q be c(5). Is q at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2022 + 743*c + 2022 - 39*c.\nAnswer: 704*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28840 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2\/3 + 2*g - 3 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -81. Suppose 0 = -4*p + h + 108, -205 = -f*p + 2*h - 67. Differentiate -p*g**2 + 13*g**2 + 13 - 9*g**2 - 6*g**2 with respect to g.\nAnswer: -56*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 1)*(-5)\/(-80)*-4. Let t = -4 - -7. Let s be ((-3750)\/t)\/o*-1600. Round s to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a centimeter in micrometers?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 7 = 3*x, 1187*x = 1185*x + 2*h - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.56336 - 0.56336. Let x = 0.38 + 0.02. What is the third biggest value in v, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 + -34. What is the least common multiple of 6 and a?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 75689, 2 in descending order.\nAnswer: 75689, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 298 + 606 - 308 - f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 4, -0.046, -3?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4. Let h(g) = g - 187. Let u(x) = 2*x - 280. Let r(l) = -3*h(l) + 2*u(l). Give -r(m) + t(m).\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(30)\/(sqrt(6) + sqrt(96)))**2) + 3.\nAnswer: sqrt(5) + 14\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnf when three letters picked without replacement from iiznfiiz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 49 - 39. Let m be (3 - (-4 + 7))\/t. Suppose -2*j - x + 92 = m, 2*j - 3*x = 7*j - 232. Calculate the remainder when j is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1102)\/133)\/((-42)\/49))\/(4\/(-12))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*t**4 - 99 + 99 + (-3 + 3 - 3*t)*(3*t**3 - 2*t**3 + 0*t**3) - 2*t + 2*t + 15*t**4.\nAnswer: 68*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64522027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 68690453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/406 and 53\/49648.\nAnswer: 347536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 7*a - 287. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let p(v) = 114*v + 173622. What is w(p(g))?\nAnswer: -114*g - 173622","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180774 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**2 - 3*i**2 - 4*i**3 + 3*i**3 + 0 + i**4 - 2 in the form f*i**2 + q + t*i**3 + n*i + o*i**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32222 (base 4) to base 8\nAnswer: -1652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 6*j - 4. Let k be i(8). Suppose 118 - 6 = 14*h. Calculate the highest common factor of k and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -133.601?\nAnswer: 134.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9372 and 301608.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -18507 bigger than -240610\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*i. Suppose i = 5*w - 68 - 12. Let k(n) = -4*n**3 - 6*n**2 + 12*n + 48. Let o be k(-4). Calculate the highest common divisor of o and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 263. Let v = l + -483\/2. Are v and 21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45021963 divided by -21.\nAnswer: -2143903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3 - 3858*u**2 + 2480694*u - 531695414 = 0.\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 271733593 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fge when three letters picked without replacement from {z: 4, g: 2, o: 1, f: 2, e: 2, j: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2690.05 + -2690. Which is the closest to z? (a) -1 (b) 3\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 (base 12) in base 4?\nAnswer: -11223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, l: 1}. Give prob of picking 4 k.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*o + 27 + 3 = 0, -5*o + 45 = 2*n. Let b = n - 6. Calculate the remainder when 34 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/28 and -53\/17963316.\nAnswer: 17963316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -14.\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**3 - 5*d - 122*d**4 + 29*d**3 - 19*d**3 + 13*d in the form r + w*d**2 + j*d + p*d**3 + o*d**4 and give o.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15985 and 4865?\nAnswer: 111895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2172366?\nAnswer: 2, 3, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1089, -4375, -9847, -17499, -27325, -39319, -53475, -69787?\n\"Answer: h**3 - 1099*h**2 + 4*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -3*d - 5*c, 5*d = c + 162 + 20. Calculate the greatest common factor of 74 and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533\/1044 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 429299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a0aa1 (base 13) to base 7.\nAnswer: 125501134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296, -1488, -4466, -8644, -14028, -20624, -28438, -37476?\nAnswer: -47744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101010110110 + 10011010?\nAnswer: -101101000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-15))\/(2\/(-10)). Let q = 36 - 38. Put h, 5, q in decreasing order.\nAnswer: 5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 29*t**2. Let w(m) = -831*m**2 + 823*m**2 + 166 - 334 + 168. Calculate w(p(y)).\nAnswer: -6728*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*165\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 148 + -152 + 5 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -194045 + 194049. Let 0 - 14\/11*t + v*t**2 - 48\/11*t**3 - 2\/11*t**5 + 20\/11*t**4 = 0. Calculate t.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -161022, -161016, -161010, -161004, -160998, -160992?\n\"Answer: 6*b - 161028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -11*d**3 - 27 + 0*d**2 - 14\/3*d**6 + 0*d**5 + 0*d**4 + 0*d. Find the third derivative of u(o) wrt o.\nAnswer: -1680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 24 - (5 - 508226)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**3 + 4*d**3 - 13*d**3 - 5*d**3.\nAnswer: -29*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/3 - (-1 + 4). Solve 0 = 3*o + 4*v - 6 + 20, -t*o - 5*v = 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + (-9 - (0 + -5)). Calculate the smallest common multiple of 14 and (-9)\/g*((8 - 1) + 65).\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 336 - 576. Let k be ((-59000)\/(-6))\/((-4)\/i). Round k to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = p + 21, 0 = 5*p - 0 + 5. What is the third derivative of o**2 + o**4 + o**2 + o**4 + 0*o**y wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 563 - 535. Suppose 6 = h*o + 790. Suppose -2 = 4*f + 110. Is o at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/12*-2 - -4)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4759295 times 0.083\nAnswer: 395021.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 - 14506*a - 52606009 = 0. What is a?\nAnswer: -7253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -1088?\nAnswer: -10a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 541067, 1082129, 1623187, 2164241, 2705291?\nAnswer: 3246337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5750\/259 or -21?\nAnswer: -5750\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - -24. Let i = 62.61 - q. Round i to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10) + 15\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -10*k**2 + 65\/2 - 255\/2*k = 0.\nAnswer: -13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104496.\nAnswer: 2, 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*m + 289 + 199 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 0. Let f be 1 - 1 - (1 + s). Solve 15 = -3*o, f*a = -0*a + 2*o - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/14*4837\/(-10365). What is the smallest value in r, 1, -2\/7, 15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580 (base 10) to base 14.\nAnswer: 2d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 10*k**2 + 4*k - 9. Let y be x(8). Suppose -3*a - t + y = 0, 7*a - 4*a = 5*t + 127. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3 - 508*t**2 - 8816*t + 9328 = 0?\nAnswer: -106, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + j + 68, -r + 26 = -7*j + 6*j. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271944549*c**3*f**3 - 12*c**3*f + c**2*f**2 - 26*c**2*f - c*f**2 + 6*c*f - 321 wrt f.\nAnswer: 1631667294*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 2, -325, -1, -4 in increasing order.\nAnswer: -325, -41, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -84, -47, -22, -15, -32, -79, -162?\n\"Answer: -l**3 + 44*l - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3656929, -3657013, -3657093, -3657169?\n\"Answer: 2*o**2 - 90*o - 3656841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l + 14. Let s be p(18). Let k be (-2)\/s*6*(-48)\/(-12). Let m = 3 - 7. Sort m, k, -0.2 in decreasing order.\nAnswer: k, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5) + 11 + -3 + (15 - (79 + 10)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -5. Suppose -z - l + 2*l = -15, y*z - 4*l = 71. What is the remainder when z is divided by (6\/9)\/((-866)\/(-6495))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1871181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26503309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2633, -2629, -2627, -2627, -2629?\n\"Answer: -q**2 + 7*q - 2639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/11, -1.3396?\nAnswer: -1.3396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 7) + (224 - 238)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3249359 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (87\/(-3))\/((-6)\/(99 + 3)). Let y = 495 - n. Calculate the remainder when 29 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - -11. What is the remainder when 145 is divided by l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - x - 1)*(139 - 6*x + 3*x + 0*x).\nAnswer: 3*x**2 - 139*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8029, 31890, 71701, 127498, 199317, 287194, 391165?\n\"Answer: 6*x**3 + 7939*x**2 + 2*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a year?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -393 - -1573\/4. What is the closest to 0.3 in 2\/5, m, -2\/21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3\/2 + 2545*b**2\/2 - 19880*b + 78880.\nAnswer: -5*(b - 493)*(b - 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + 2*q)*(2*q + 4*q - 5*q) - 19*q**2 + q**2 - 2*q**2.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + (-30)\/(-4) - 3)\/(1\/222). Let r = -1 + 1. Suppose r = b - 2*b - t. What is b rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 1. Suppose -u + 776 = v*r, 4*r - 616 = 3*u - 5*u. Does 32 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvmvy. Give prob of picking 2 v, 1 r, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 12*q**2 + 11. Calculate s(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 80*z**3 - z - 4. Let l(r) = -8*r - 3. Let b be l(-1). Suppose 26 = b*u + 11. Is v(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616 and 109299806?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -235, -241, -249, -259, -271, -285?\n\"Answer: -p**2 - 3*p - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*t - 5*s, -8*s + 12*s - 24 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379825.\nAnswer: 5, 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53573\/10 + -5365. Calculate the common denominator of o and 95\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 + 34*r + 24. Let f be o(12). Suppose -6*z - 13*z = f. Solve 10*c - 8*c - 10 = z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -85, -153, -221, -289?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 3 + 8 - 1. Let o(t) = -5*t - 37. Let m be o(-6). What is the tens digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1797004 (base 10) to base 11\nAnswer: -1018130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Solve -3*n**5 - 11*n**4 + 15 + 6*n**2 - 10*n**w + 107*n**3 - 137*n**3 + 33*n = 0 for n.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22498.43l?\nAnswer: 22498430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 351*l**5 - 6*l**4 - 104*l + 6*l**4 + 104*l - 63*l**2 wrt l?\nAnswer: 21060*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185704*-485\nAnswer: -90066440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8502*z**3 - 4*z**2 + 8*z - 5. Is u(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 9*g**2 + g - 22. Let t be v(8). Calculate the highest common divisor of t and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (-12 + 9 + -2 + 10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -1.1, -90, -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.6, -3, 515, 0.1, 5 in ascending order.\nAnswer: -3, 0.1, 5, 6.6, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29a7 (base 16) to base 6.\nAnswer: 121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d = -104. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5902 + 5913. Sort 2, p, -0.5, -3, 3.\nAnswer: -3, -0.5, 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167702.0198 to the nearest 100.\nAnswer: 167700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5671 - -5672.828. Is 2 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6*f - 23 = 3*f, 19 = 4*u + 3*f. Let n = 10 - 5. Which is the third smallest value? (a) -6 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -11*q**6\/120 - q**4\/12 - 3*q**2. What is the second derivative of v(y) wrt y?\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 618695403 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -19*t - t**2 - 27*t - 23*t + 11*t + 57*t + 31. Give g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(2448) + -3 - sqrt(68)\/(sqrt(20)\/sqrt(5))*3)**2.\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - t**3 - 4*t**3 + (t - 3*t - t)*(-t - 3*t + 0*t)*(-2 + 2 - t).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, b: 8, v: 1}. What is prob of picking 1 v and 1 e?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3283*3.\nAnswer: 9849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -55942.\nAnswer: 27971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227205775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -853, -1708, -2563?\n\"Answer: -855*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2886179958.\nAnswer: 2, 3, 211, 253307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.074 + 2.826. Let p = 11 + -10.9. Let h = o + p. Which is the second smallest value? (a) -2 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295392 and 7756212.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 759594617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39834 - 3?\nAnswer: -39837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768036147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -881, 4, 112, 0, -1 in decreasing order.\nAnswer: 112, 4, 0, -1, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261004, -1043785, -2348340, -4174669, -6522772, -9392649, -12784300?\nAnswer: -16697725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 49. Let w(a) = -5*a + 48. Let n be 2\/(-2*((-115)\/30 + 4)). What is n*y(v) - 5*w(v)?\nAnswer: v + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 3*w**2 + 2*w + 2. Let r be d(2). Suppose 16*h - r*h - 18 = 0. Solve -3*o = -m + h, -2*o - 2*o - 3*m = 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 128254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 1\/(-4) - 94\/(-8). Calculate the highest common divisor of w and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19864025561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 25 = k, -2*n + 5*k = -25. Suppose 0 = 4*x + 5*p + 47, -6*p - 20 = x - 2*p. Let f be x\/(-12)*(-3)\/2. Put n, f, 5 in decreasing order.\nAnswer: 5, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsnsssssnnsnn. What is prob of picking 3 n?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = -7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/8)\/((-1)\/(-4)). Let n = -1 - -3. What is the units digit of n\/(-3)*f\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833048722 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -31. Factor 31*a**2 - 16900 - 17*a**2 - q*a**2 - 567*a + 47*a.\nAnswer: -4*(a + 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1812?\nAnswer: -1812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*286026\/1197. Let l = -358 + f. What is the nearest to -7\/4 in -0.3, -4, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:08 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**7\/42 - 101*x**6\/30 - 65*x**4\/2 + 1644*x. Find the third derivative of d(g) wrt g.\nAnswer: 60*g**2 - 2424*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*v**2 - 190*v + 1195*v**2 - 106*v.\nAnswer: 1924*v**2 - 296*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + 35 + -113 + -72.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*p + 65*p + 20*p to the form z + q*p and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/748 and (9\/(-1020))\/((-30)\/(-315)).\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5389 and 1.\nAnswer: 5390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from xpxlspplxqxxq.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(18).\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492.3142 months in decades?\nAnswer: 20.769285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21725292, -43450587, -65175882, -86901177, -108626472, -130351767?\n\"Answer: -21725295*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14634306?\nAnswer: 2, 3, 813017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 248 + -246. Let i(o) = -o**3 + 8*o**2 - 5*o - 7. Let s be i(7). Suppose 3*b - 5*x - 52 = 0, 0 = -s*b + d*b - 2*x + 66. Is b < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 202 - -47410?\nAnswer: 47612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d + 6 = 0. Suppose d*b + 50 = 7*b. Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51485.8 + -51487. Let b = -19 + 10. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67\/5216 + 3\/163. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*s + 163*s + 427*s + 13239 = 2163 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/14550 and 89\/28740?\nAnswer: 13938900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 1\/2*q**2 - 11 + 12*q. Let g be o(-10). Solve -2*j + g + 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfahpaypahfhpp. Give prob of picking 2 p and 1 y.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.2 (c) 0 (d) 5 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*q = 2, q = -4*h - 2*q - 2. Let i be (h + 1)*972\/8. Calculate the greatest common factor of 27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45108 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 11 - (7 - (6 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 201*r**2 + 38*r + 165. List the prime factors of i(16).\nAnswer: 29, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = -f, 5*d - 45 = -2*f - 3*f. Which is the third smallest value? (a) -3 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 248\/50)*(-5)\/(-2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + k = 952, 7*k - 2*k + 1301 = 4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704975 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5 + u - 4*u - 6*u. Let l(j) = 4*j - 2. Let y(t) = -t + 1. Let r(m) = -l(m) + y(m). Let q(b) = -3*f(b) + 5*r(b). What is q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/3))\/t**(-1\/7)*(t*t*(t*(t\/(t*t**0))\/t)\/t)**(-5\/4) assuming t is positive.\nAnswer: t**(47\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5\/12 + 45*h**4\/8 + 65*h**3\/3 - 945*h**2. Suppose m(l) = 0. Calculate l.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2400 divided by 150?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-3))\/30)\/((-23)\/(-230))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1308695 kilometers?\nAnswer: 130.8695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + 11781308\/112. What is w rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s**2 + 3 - 3)*(70 - 16*s - 70).\nAnswer: -144*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**23\/n)**9\/(n**29\/(n*n**(-1\/8))) assuming n is positive.\nAnswer: n**(1503\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfmkmmkenekkea. Give prob of picking 1 a and 1 k.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -27*d**5\/2 + 4344*d**4 - 344829*d**3\/2 + 497286*d**2 + 3405402*d + 730296 = 0.\nAnswer: -3, -2\/9, 7, 42, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 + 298*o**3 - 10738*o**2 - 22378*o - 11340 = 0. Calculate o.\nAnswer: -1, 70, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2262960 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5557 is divided by 74.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -15*v + v**2 - 17*v - 20*v + 49*v + 1. What is s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30429 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3918*t - 31443. Calculate j(-8).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/152 and 67\/8664.\nAnswer: 8664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/40869?\nAnswer: 2\/40869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -340150 <= -340140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21\/4 - 67\/12. Let w = 3.9 + -3.5. Which is the nearest to 0? (a) 4 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - ((-30)\/5 - -2))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5\/883, -5, 6, -2, 5, -5\/4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1733 + 1732.6. What is the second biggest value in 15\/4, u, -13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 (base 10) to base 2\nAnswer: -11010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151027?\nAnswer: 151027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 56. Let d = k + 9. Let r = d + 11.3. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -2*r + 22, 10 = 330*a - 169*a - 159*a - 4*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129769.\nAnswer: 129769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.5, -9\/2, 0.04?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21*t. Let g(p) = 20*p. What is -3*a(u) + 2*g(u)?\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 7*w + 6. Let n be j(5). Let v be -3 - 960\/54 - (-12)\/(-54). Let o = n - v. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 22 = -237*i + 232*i, -2*w - 8 = 3*i. Which is the nearest to 2? (a) 1\/2 (b) w (c) -0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 42 + 22. Let a(o) = -o**3 + 8*o**2 - 6*o + 6. Is 17 a factor of a(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/72 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 11259.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 8*b - 7. Let w = -12 + 3. Let n be j(w). Solve -2*h - n*a - 20 = -6*h, 22 = 4*h - 3*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 267784*q + 1338895.\nAnswer: (q + 5)*(q + 267779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.21. Let j = v + 0.10968. Round j to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -0.01?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 46.88. Let g = 0.41 - y. Let v = 0.19 - g. Which is the biggest value? (a) v (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/13 + 2\/13*d**2 + 22\/13*d.\nAnswer: 2*(d - 1)*(d + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2179?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r + r**2 + 3 - r + 0*r**2 - 3*r. Let m be u(9). Suppose -m*y = -y - 20. What is the highest common divisor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 9*a + 0*a)*(0*a**2 - 3*a**2 + 4*a**2 + (4 - 3 - 3)*(2*a**2 - 2 + 2) + a**2 - 3*a + 3*a).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a minute in seconds?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + w + 2480. Let q(z) = -13*z - 10. Let b be q(-2). What is the greatest common factor of b and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 62 + -15 + (2 - -1) + -30\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249*n**2 - 1924*n**2 - 2869*n**2)*(-2*n + 5*n - n).\nAnswer: -9088*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6019, -6047, -6077, -6109?\nAnswer: -6143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57, -69, -79, -87?\n\"Answer: t**2 - 15*t - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f - 229. Let b be a(26). Calculate the highest common factor of b and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from {l: 2, t: 1, n: 3, j: 1, m: 4, a: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c**3 - 3*c**2 - 4*c - 2. Let h be a(-2). Let b(t) = 3*t**2 + 39*t + 253. Let i be b(-7). Factor i*f - h*f + 2*f**3 - 65*f - 2*f**2.\nAnswer: 2*f*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**2. Let w(y) = -130*y**2 - 127*y**2 + 261*y**2. What is w(n(o))?\nAnswer: 196*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4496451 and -94.\nAnswer: 4496357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 5 (c) -147\/11521 (d) 4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-32))\/(9\/(-4))*-15.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215529 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -16\/3*x + 10*x**2 + 5\/6*x**4 + 31 - 6*x**3. Factor g(q).\nAnswer: 2*(q - 4)*(q - 1)*(5*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -860, -3231, -7048, -12197, -18564?\nAnswer: -26035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92693902 to the power of 1\/3, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -19*o**4\/6 - 11*o**3\/2 + 37*o**2. Let i be w(-4). Round i to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230 + -248. Let x be 1 + 11199960\/25 - t\/30. Round x to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 68 + 97 + 13*j + 231 - 14*j.\nAnswer: -j + 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200*u + 14 = -1198*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*f**2 + 66*f**2 + 71*f**2 as z + p*f**2 + d*f and give p.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -233613, -233616, -233619, -233622, -233625?\n\"Answer: -3*l - 233610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 12 = 4*l, 3 = 2*q + 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - 2136)\/(-27) + -26 + -1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uludelleeullled. Give prob of picking 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 5*v + 3. Give a(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2371 and 15746.\nAnswer: -37333766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 437458 divided by -62494.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435 is divided by 219?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-4*a - 17*a + 5*a).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 89*k**4 + 17*k**3 - 25. Let g(x) = -30*x**4 - 6*x**3 + 8. Let d(j) = 17*g(j) + 6*z(j). What is the derivative of d(r) wrt r?\nAnswer: 96*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 25 - 8*z**2 - 26 + 0*z + 3*z + z**3. What is the tens digit of j(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 1. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941086061 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: Which is the closest to -3\/2? (a) -0.01 (b) 3 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 4*u, -4*u - 4*r + 3*r + 16 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -351*h - 1004. Calculate the remainder when n(-4) is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 3*t**2 + t. Let m be (-4)\/4*(-4)\/(-2). Let b be r(m). Is (-38)\/(-4) + 1\/b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 0*v**2 + 4*v**2 - 2*v - 3*v + v + 2. Let s be c(2). Let f(q) = 9*q - 7 + s*q - 17*q. Calculate f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3 - 24030*l**2 - 2*l + 7690.\nAnswer: 6*l - 48060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2. Let j(u) = 20*u - 6 + 2*u**2 + 0*u**2 + 6. Let s(g) = 2*g. Let i(z) = -2*j(z) + 20*s(z). Determine i(x(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:28 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + (sqrt(5) - (sqrt(10)\/sqrt(2) - sqrt(5))))*-5 + 0)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2711*o**2 - 127*o + 430. Let g be x(53). Round g to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - 48 - (-65 + 146 - 88).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 795929799 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2\/7, -8, -53 in decreasing order.\nAnswer: 8, 2\/7, -8, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let v(j) = -j - 3. Let o be v(-4). Suppose 0 = -d + o - 2. Which is the closest to d? (a) -0.4 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2165 - 2166. Suppose 0 = -4*u + 5*u - 8. Put t, 0, u, 3 in descending order.\nAnswer: u, 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(27\/5)\/((y*y**(-2\/19))\/y) assuming y is positive.\nAnswer: y**(523\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.52149349 and -1.\nAnswer: 0.52149349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001101020021 (base 3) in base 7?\nAnswer: 16532206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.127184 millennia?\nAnswer: 1127.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*o - 114*d*y + 4*d - 302*o*y - 3*o + 2 wrt d.\nAnswer: 2*o - 114*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2)*(-8)\/4)\/((-2)\/(-4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450626 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 19*c**2 - 107*c - 3. Calculate o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 514*k + 2581. Let v be n(-5). Solve -3*p - 8 = -3*d - v, -5*d - 21 = -p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7289 - 2042.\nAnswer: 5247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/404289 and 139\/810.\nAnswer: 36386010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*d + 745, -4*t + 0*d + 3*d + 3035 = 0. Let z = t - 284. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 22108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxhlxllllhhhjoll. What is prob of sequence ojx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 97 - 102 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, w: 9, o: 1}. What is prob of picking 4 w?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-5)*q*q\/(q\/(q\/q**3))*q**7*q*q**(-4))**(-4\/7) assuming q is positive.\nAnswer: q**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -3\/2 (c) -0.6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58169024 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/29 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**3\/3 + 1. Let p(v) = -1053737*v + 1053736*v + 0 + 0. Give p(b(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 17*i**6\/30 - i**5\/10 - 59*i**2\/2 - 44*i. What is the first derivative of o(k) wrt k?\nAnswer: 68*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 6*r - 5. Let n be (-6)\/33 + (-136)\/(-22). Calculate w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -129, 1, -15, -5, -3 in descending order.\nAnswer: 6, 1, -3, -4, -5, -15, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*d = 80*d - 31*d - 2812 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211 - -9733474.\nAnswer: 9733263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**3 + 0*v**3 - 7*v**3.\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, -18, -2\/13, -8, 5, -8\/53?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/(22\/(-264)). Solve -z = 4*h - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 - 3*s + 3*s. Let o(r) = -86*r - 34. Let q(d) = -11*d - 4. Let u(f) = -4*o(f) + 34*q(f). Give a(u(b)).\nAnswer: -2700*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3233173 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*w**5 - 19236314*w**3 - 2*w**2 + w - 22030899?\nAnswer: -420*w**2 - 115417884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/(-341) + 1 + (-210)\/165.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-1 - 4) + 0. Let i = 24 + y. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 38.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**8\/5040 + 2*a**7\/315 - 4*a**6\/45 - a**5\/15 - 9*a**2. Let g(x) be the third derivative of f(x). Factor g(j).\nAnswer: -4*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 5*g**2 - 6*g + 7. Let y be f(6). Suppose 10 = 2*c - 5*j, -c + j + 4 = -4. Let t = c - y. Is 4 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15.67543104405 and 0?\nAnswer: 15.67543104405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 + 7*o - 5 + 21 - 7 - o**3. Let m be s(-6). Solve 2 = m*a + y - 6, 2*a - y = 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - (-4 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 238, 812, 1946, 3832?\nAnswer: 6662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3954 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.04 - -0.04. Let g be ((-129)\/1548)\/((-1)\/4). Which is the second smallest value? (a) u (b) -2\/17 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeezeeezeeezezez. Give prob of sequence zzzz.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2535 + 2535. Suppose 0 = g + m - 5, 3*m - 4 = -g + 1. Solve -g*y + 2*y = w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.76247ug?\nAnswer: 0.00000000000176247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 3*r - 28. Let c be f(4). Suppose -4*n + 3*p + 2449 = c, 5*p + 977 + 846 = 3*n. What is the greatest common factor of n and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) + (-776)\/(-234). Let i(k) = 166*k - 826. Let m be i(5). Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -5*3\/((-45)\/(-87))*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 641.722 to zero decimal places.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-30)\/(-5)*4\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 154 + 6. Suppose -3*a - 4*w = 32 - 127, 0 = a + 3*w - k. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/((-36)\/(-21621))*5\/(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 473095412 and -0.4.\nAnswer: 473095411.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3312 and -0.5?\nAnswer: -1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 31 - 1 = b, -3*i = 5*b - 38. Calculate the common denominator of 55\/12 and (14\/b)\/(42\/455).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26350, 25613, 24390, 22681, 20486, 17805?\nAnswer: 14638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7*t = c - 742, 3*t + 3*c - 1113 = 0. Suppose 0 = 6*k - 319 - 881. Let y = k + t. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -35783?\nAnswer: 35777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 4*f - 4. Let h(n) = n**3 + n - 1. Suppose 4*v - 2*q + 8 = 0, 3*v - 4 = -4*q + 1. Determine v*z(k) + 4*h(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 3*b**4 + 5232*b + b**2 - 5232*b - 4 to d*b**3 + i + n*b + o*b**4 + m*b**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*m**3 - 1472*l**2*m**2 - l*m**3 - l*m**2 - 578*m**3 + 8*m wrt l.\nAnswer: -4*m**3 - 2944*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(272) - sqrt(17))**2 + ((-3 + 0 + sqrt(17))**2 - sqrt(17)) - (-5*sqrt(136)\/(sqrt(8)*2))**2.\nAnswer: -7*sqrt(17) + 11171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.137532 rounded to two dps?\nAnswer: 18.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 149487, 149489, 149491, 149493?\n\"Answer: 2*m + 149485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -54. Let s(i) = 3*i**2 - i + 3. Is s(d) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s. Let a(c) = 857*c - 274*c - 433*c - 2. Determine v(a(b)).\nAnswer: 300*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -78. Calculate the highest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*((-7)\/(-2))\/7. Let d(j) = -j**3 + 5*j**2 - j + 6. Let c be d(5). Suppose 4*n - 3*h = -4*h + 20, 3*h - 25 = -5*n. Put n, o, c in increasing order.\nAnswer: o, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -9. Let x = 11 + b. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 123 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k. Let l(y) be the first derivative of 3 + 0*y**2 + y + 0*y**3 + 1\/6*y**4. Let g(x) be the first derivative of l(x). What is g(t(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 7*n - 15. Let d be t(-9). Is (-1796)\/(-10) - d\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 1, r: 1, n: 3}. What is prob of picking 1 q and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*(-2 - -1))\/((-2)\/(-374)). Suppose -l = -n - 35. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -16. Let h(y) = y**2 - 8*y + 3. Determine h(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4da (base 15) to base 16\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-2\/3)\/m*m*m)**(-1\/78))**31 assuming m is positive.\nAnswer: m**(-217\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 78*j**2 + 29*j + 34*j - 63*j as w + o*j**2 + m*j and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4 + 6. Let t be (o - 2)*2*-2. Let c(p) = 3*p - 48. Let g be c(18). Calculate the highest common divisor of g and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 152 + 614. Calculate the highest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.319 rounded to 1 dp?\nAnswer: -23.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000847 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5 + 1 = -v, -4*l = 2*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (90\/(-21) - (63\/(-49) + 1))\/46. What is the closest to 0.2 in v, -3\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 3 - 13*d + 8 as m*d + f and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -378\/11 (c) -800\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -4*y - 28, -2*y = 4*i + 152 - 138 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3241272315985 - -0.5?\nAnswer: -3241272315984.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 7*m**2 - 11*m - 22. Let u be o(-4). Let t = -12 + 9. Sort 2, t, u.\nAnswer: t, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192)\/(-864)*(-9)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3, -5*b + 137 = o. What is the remainder when (-2)\/(-2) - o\/(28\/(-7)) is divided by (-2)\/8 + 147\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 + -79. Let h = -8 + 11. Let d = h - k. Which is the second biggest value? (a) -4 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 1331425?\nAnswer: -1331415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -131\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3439636 and 34?\nAnswer: 58473812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13452*k + 254979. Determine u(19).\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*m - 5824 = 0, 3*m - 5720 = -4*c + 104. What is the greatest common factor of 224 and c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 5*h - 5. Let o(x) = -x**2 + 3*x + 3. Let z(i) = -5*o(i) - 3*w(i). Let g(f) = 14*f**2. Determine z(g(p)).\nAnswer: 392*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3500 is divided by 482.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116.093 - 131.81. Let w = a - 0.183. Round w to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 4*s**2 - s + 2. Let j be h(-2). Suppose 0 = 4*t + j*n - n + 3, 3*n = 2*t - 3. Let c be 60\/(-54) - (0 - t). Is -1 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 111 = -w, -2*a - 4*w = -28 - 32. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 368 = 4*a, 20*a + y - 353 = 16*a. Sort 14, 0, a in increasing order.\nAnswer: 0, 14, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, l: 2, p: 1, h: 1}. Give prob of sequence gpgl.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 220, 727, 1718, 3355, 5800?\n\"Answer: 27*p**3 - p**2 - p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 5. Let r be v(23). Let c be 86\/6 + 24\/r. Let d = c + 14. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502, 447, 392, 337?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a milligram in micrograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0, 2\/7, 0.06 in ascending order.\nAnswer: -1\/5, 0, 0.06, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 173 and 21.37.\nAnswer: 3697.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -4*l + 232. Let n be (1\/l)\/(63\/(-84)). Is -133\/5 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2\/13 (c) 4 (d) 355 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3516*t**2 - 3518*t**2 + 46*t**3 + 7034*t**2.\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 3*g**2 - g - 3. Calculate x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2531.3333 to the nearest ten.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -5 + -10 + (23 - (2 + 7))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 43*v - 24. Let k be n(21). Let b(s) = 2*s**3 + 8*s**2 - 2*s - 18. Calculate the lowest common multiple of b(k) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -4 (c) -3455 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -18, -10.4 in increasing order.\nAnswer: -18, -10.4, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 4968?\nAnswer: 173880","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + (-30 - -1))\/1. Let c(h) = -6*h + 11. Let b(y) = y - 2. Give q*b(p) - 6*c(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 3*q + 108. What are the prime factors of a(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (-4 - -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7105912?\nAnswer: 2, 11, 80749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:12 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1252733928 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -10a27?\nAnswer: 10a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-2 - -4 - 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*n - 31 = 0, 4*w - 15 = -3*n + 12. Let z = w - -37. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 75*h**4\/4 - 22*h**3\/3 - 7. Find the third derivative of f(n) wrt n.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 8 + 0 - -2. Suppose -3*i + 8*i - 15 = 0. Suppose i*q - m*q + 24 = 0. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006455166 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4072*z**5 + 439*z?\nAnswer: 81440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l - 5. Determine r(-11).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 smaller than 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let u(v) = -v**3 + 2*v**2 - v - 5. Let n(q) = -5*q**3 + 18*q**2 - 4*q - 44. Let t(a) = n(a) - 9*u(a). Calculate 6*j(k) - t(k).\nAnswer: -4*k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose -w*v = -5*v - 44. Let u = v + 42. Solve -x - 4*z + u = 2*x, 2*x + z = 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - p + 22 = 0, -2 = 4*p - 10. Let d(c) = -x*c - 1 + c**2 - 1 + 6 - 6. Is 4 a factor of d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161143.\nAnswer: 17, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 58. Let w(v) = -6 - r + v + 0*v + 7. Suppose 0*z - 2*z = 3*n, 0 = 2*z - 4*n. Determine w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -6*r**5\/5 + r**4\/8 + 833*r**3\/6 - 45*r**2 - 8*r. What is the first derivative of m(z) wrt z?\nAnswer: -144*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (56\/4)\/(-1*2). Let o be q\/(-35) - (-38)\/10. Solve -t + 12 = -o*x, 3*t = -3*x - 2*t - 32 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 22433 = 4*p, -8*x + 5*x + 5*p + 67313 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 + 16 + 12 - 28.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-1)*(-221)\/442?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3210401 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l + 19. Let h(g) = 1369*g. What is h(m(z))?\nAnswer: -17797*z + 26011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -5*o - 15, o + 2*m + 4 = -6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*2940\/(-350)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-392)\/70*7\/((-1225)\/2250)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2444*w - 2445*w + 4*w**3 - 3*w**2 - w**2 to h*w + t*w**3 + m + u*w**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 356*m + 1422. Give o(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2107771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*j + 65*j = 300. Solve 0 = -4*c - 4 + j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 14) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w + 3. Give v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3861249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 48, 0, -3, -35, 3 in increasing order.\nAnswer: -35, -3, 0, 3, 23, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(69*s**2 - 338 + 338) + (-4*s + 2*s + 3*s)*(3 - 3 - 2*s) + s**2 - s + s.\nAnswer: 68*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1375 + 46.\nAnswer: -1329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 161 - -1?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and 42915?\nAnswer: 42928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 6. Let k be p(-5). Let s be -2 + (4 - 5) + 21. Let g be 26*(s\/k)\/(-9). Solve 4*i + 4*n = -20, 8 = -i - 5*n - g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -93445*z**3 + 560420*z**2 - 839505*z - 2250 = 0?\nAnswer: -50\/18689, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 25 = -2*z. Let h(m) = -3*m - 3. Let l be h(z). Solve v + 3*k - 9 = -2*v, 4*k = 4*v - l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3688436617146 - 0.01.\nAnswer: 3688436617145.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 - (-1 + (-3 - 1)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7))**(39\/4) assuming m is positive.\nAnswer: m**(-273\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11742898 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 171 in 0.4, 34, 3, 2\/13, -557, -1\/8?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19284 * -0.48.\nAnswer: -9256.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-26) - (-3 + (-6)\/39). Let d = 0 + 4. Put y, d, 5 in increasing order.\nAnswer: y, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*l + 214 = -32*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:23 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + -13 + 6 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -473, -576, -731, -932, -1173, -1448?\n\"Answer: m**3 - 32*m**2 - 14*m - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, a: 13}. What is prob of sequence baba?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000861299 to 5 dps.\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-28))\/(72\/96)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -919040 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 1, -147\/4, -1 in decreasing order.\nAnswer: 1, -1, -28, -147\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -1379*w**5\/5 - 6*w**3 - 24*w + 1948. Find the third derivative of o(s) wrt s.\nAnswer: -33096*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 219*l**2 + 4*l - 4. Let z be m(-3). Suppose 4*p = 5*q + 1931 - 330, 3*q = -5*p + z. What are the prime factors of p?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -386 - -546. Let o = -184 + 95. Let f = k + o. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 45*u - 18 + 45*u - 59*u**2.\nAnswer: -59*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 29025580 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfft when four letters picked without replacement from fitnifiztzaatiziii?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 2*i - 1. Determine z(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10\/9, -1\/2, -0.93, -2, 4?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 146183248*f**2 + 6842410 wrt f.\nAnswer: 292366496*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -34*o - 6. Let f be t(-5). Suppose -3*v - h + 15 = 2*h, -3*v - 13 = -4*h. Is f*v + -4 + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/2))**(-7)*c\/(c\/(c**(-2\/19)*c))*c**(-4)\/c)**(-3\/16) assuming c is positive.\nAnswer: c**(-729\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-108))\/((-27)\/81)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(1 + (((sqrt(162) - (sqrt(162) + 5 + sqrt(162) + sqrt(162)*2)) + sqrt(162))**2 - sqrt(162) - sqrt(162)))*-4 + 2.\nAnswer: -2697 - 648*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xom when three letters picked without replacement from exxxeoxomoeox?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxzwwwzzzwwzwzwwww. What is prob of picking 1 x, 1 w, and 2 z?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/3, -36, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.610743 to three dps.\nAnswer: -189.611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - 2*q + 34. Let s be p(-16). Let o = s + 1061. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, -5, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9307780?\nAnswer: 2, 5, 43, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6801\/10 + 1\/(-10). What is the greatest common divisor of p and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/7, -0.1, 2, -0.58, -3 in increasing order.\nAnswer: -3, -0.58, -0.1, 2, 17\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11633 take away 11567693?\nAnswer: -11579326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6\/(i**(-7)\/i)*(i*i**0*i*i)**33*(i**6\/i*i\/(i**(2\/11)*i))\/((i**(-1\/6)\/i)\/i*((i\/i**5)\/i)\/i) assuming i is positive.\nAnswer: i**(8315\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.578 and 54?\nAnswer: 139.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(125)*-1 + 6*(sqrt(5) + -1) + 3*(-1 + sqrt(5)) + sqrt(80) + -1 + sqrt(80) + 4)*-6)**2.\nAnswer: -5616*sqrt(5) + 31716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 6. What is n(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/60)\/((-1)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.27291 millennia in years?\nAnswer: 27272.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:04 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0174 + 0.353. Round u to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5122, 40895, 137966, 326983, 638594, 1103447, 1752190?\nAnswer: 2615471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103556, 103199, 102832, 102449, 102044?\nAnswer: 101611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19 + -18)\/((-2)\/4). Is 2 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*p - 53 = a, -5*p = -20. Suppose 0 = -v - o - 2*o - a, -5*o - 25 = -2*v. Sort v, -2\/3, 0.2.\nAnswer: -2\/3, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + 63 + -64.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0140615281 to 6 dps.\nAnswer: 0.014062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 608694584 to the power of 1\/2, to the nearest integer?\nAnswer: 24672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(2 - 28\/8). Let b be x\/4 - 12\/8. Suppose 4*m = -3*i - b*i + 18, 3*m = -5*i + 16. Is i less than 7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 - 10 = 0. Suppose -5*r + 336 = -6*w + f*w, 5*r - 360 = 5*w. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -1)\/(4 + -6 - -3). What is the tens digit of 180 + c - 2\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -486.3 - -486. Which is the nearest to 0.1? (a) x (b) -0.14 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/12*0\/3. Sort n, 2, 5 in increasing order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 788\/66 + 28\/462?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.013 and 0.0508.\nAnswer: 0.0006604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-297)\/198)\/(1\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2146064?\nAnswer: 2, 134129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6853351.700554 - -6853420.4. Let y = -68.7 + f. What is y rounded to 5 decimal places?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 48*a**3 - 7*a**2 + 7*a + 10. Let f(q) = -24*q**3 + 3*q**2 - 3*q - 4. Determine 7*f(i) + 3*g(i).\nAnswer: -24*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 17 - 4) + -57 + -11 + 22\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -q + r, 22*q - 48*q - 8*r = -19*q - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -33207.09226 to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5168692 and 13578?\nAnswer: 15506076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(n**5 + 229*n**2 - 118*n**2 - 122*n**2 + 2*n**4).\nAnswer: n**5 + 2*n**4 - 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-65*36\/266760)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 7272480*l - 14544940.\nAnswer: -5*(l - 1454494)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2*x**3\/9 - 7*x**2\/3 - 52*x + 470. Determine a so that q(a) = 0.\nAnswer: -6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3103409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.73 - 0.27. Let z = -2.3 - -2. Let v = -0.2 - z. Sort -3, x, v.\nAnswer: -3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -8 in descending order.\nAnswer: 1, 0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 3\/2*g**2 + 1\/4*g**4 - 1\/20*g**5 + 5*g + 1\/3*g**3 + 0. Calculate l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(24)*-1 - (sqrt(133) + sqrt(133) + (sqrt(133) + (sqrt(133)*-1 - sqrt(133)))*-3)\/sqrt(7))**2.\nAnswer: 2299\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 4*b - 5. Let q be a(-6). Suppose 3*m = 1 - q. List the prime factors of (0 - 0) + 12 + m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5921 + -5605. What is the lowest common multiple of 44 and f?\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -267, -531, -1239, -2613, -4875, -8247, -12951, -19209?\n\"Answer: -37*d**3 - 5*d - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in -17, 789, -2\/11, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a**3 - 7*a**2 - 13*a**3 + 7*a**2.\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -2408.\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 1 - 1)*(-1 + 0 + 2) + 0*c**3 + c**3 - 3*c**3 + c**3 - c**3 + 2*c**3 - c**3 - 3*c + 3*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2461, 2332, 2203, 2074, 1945, 1816?\n\"Answer: -129*r + 2590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5924*h + 41476. Calculate t(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:33 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3214*d + 1019*d - 72*d + 1190*d = -294305 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 5*n = 5*u - 13, 0 = -3*n - 5*u + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -316*g - 1264. Let x(w) = w + 8. Determine -3*f(z) - 474*x(z).\nAnswer: 474*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 83*f - 467. Determine h(5).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 105, 195, 301, 429?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/6 + 7652345*w\/6 - 7652347\/3.\nAnswer: (w - 2)*(w + 7652347)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*s = 4*s + 10, -14 = -4*p + 2*s. Let a be 0*((-10)\/4 + p). Let w = 11 + a. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 3*v + 2. Let u be n(2). Let j be (4\/6)\/((-8)\/(-84)). Suppose 3*p + j = g + 3, -2*g = -u*p - 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/126)\/((-15)\/315)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 186914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/114 and -43\/2125180?\nAnswer: 121135260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3799855 and 298865?\nAnswer: 26598985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**4\/4 - r - 1629. Let a(v) = 4*v**3 + v**2 - 2. Give a(s) + 2*u(s).\nAnswer: 2*s**3 + s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n. Suppose 5*u = -5*g + 20, -g + 3*g - u - 14 = n. Let h(o) = o**3 - 2*o**2 - 2*o - 5. Is h(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = 4. Let b(p) = 9 + 2*p - p + 0*p + 0*p. Calculate b(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 41. Calculate o(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Let y(v) = -v**2 - 1 + 5*v**2 + 5*v - 1 - 5*v**2. Let k be y(3). Solve 5*q = c + 16, 0*q - k*q = n*c - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136077, -544349, -1224803, -2177439?\nAnswer: -3402257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*s**3 + 836*s**2 - 3800*s + 1600 = 0 for s.\nAnswer: -5, 40\/83, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -160*h. Let l(o) = 10*o**2 - 73. Give q(l(r)).\nAnswer: -1600*r**2 + 11680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-121))\/(-60 + 99 + -38).\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 461*k**3 - 7*k**2 - 25563*k.\nAnswer: -12*k**2 + 2766*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -91. Let q be (-4 + 1)\/(3\/c). Find the third derivative of -23*z**2 - 19*z**4 + 46*z**2 - q*z**2 wrt z.\nAnswer: -456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1596 + 1583 - ((-4)\/(-56)*-6 - 10046\/798)?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/12 and -23\/1305?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - q + 1. Let m(j) = 5*j**3 + j**2 + j - 1. Let v(s) = -m(s) - p(s). Let n(d) = -7*d**3. What is 5*n(i) - 8*v(i)?\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -154 - -142 - (2 - 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -116091.\nAnswer: 1\/38697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 73. Let o(j) = j**2 + j + 1. Let u(h) = h**3 - 5*h**2 - 5*h - 5. Suppose 7*a - 11 = 31. Let c be (-34)\/(-6) - 4\/a. Determine c*o(w) + v*u(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.01 + 8.9. What is the closest to 3 in -0.1, 1\/10, a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.6. Let u = 2471 + -12351\/5. Sort -0.5, o, u.\nAnswer: -0.5, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9117 and 67871?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 16*h**3 - 2*h**2 - 3*h + 2. Let v(l) = 33*l**3 - 5*l**2 - 7*l + 5. What is 5*c(k) - 2*v(k)?\nAnswer: 14*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/16872 and -17\/456.\nAnswer: 16872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.83 and -113578.745?\nAnswer: 113566.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3417552 - 3348392 = -728*z for z.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 272 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**11\/o))\/(o*o**(3\/23)) assuming o is positive.\nAnswer: o**(-210\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-12)\/(s*s*s*s**25*s) assuming s is positive.\nAnswer: s**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-j - 2*j - 2*j) - 7 - 2*j + 7 - 118 + 9*j + 118 + j + j + 0*j + (-3*j + 2*j + 3*j)*(3 - 2 + 1).\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2\/2 + 24*t + 4. Calculate the remainder when 48 is divided by i(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 77, -34, -1, -4, -5 in ascending order.\nAnswer: -34, -5, -4, -1, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2965 - -2967. Sort -3, -1\/2, 178, r in decreasing order.\nAnswer: 178, r, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:22 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from ululpulpululuulllu?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 439998 = -2*j, 2 = -3*j - 1. Suppose -14*r - l = -13*r. What is r rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/2 + -25\/54. Let f(x) be the second derivative of -x + 0*x**2 - h*x**3 + 2\/27*x**4 + 0. Find n such that f(n) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8666 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 15 = 0, 2*a = 3*a + i + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 48 = 2. Let v = 12 - f. Calculate the common denominator of (-15)\/12*v\/4 and 63\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, q: 3, b: 4, e: 1, m: 2}. What is prob of picking 1 a and 1 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -46. Let o be (-2)\/(-3)*q - 0. Solve -4*k = 16, -i - 5*k + 0*k = o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/6 + 28639*t**2\/6 + 14318*t = 0.\nAnswer: -28636, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 12672*m**2 - 328949*m - 1934838 = 0. What is m?\nAnswer: -12646, -17, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2866, 2853, 2832, 2803, 2766, 2721, 2668?\nAnswer: 2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -591 - -619. Calculate the least common multiple of i and (-1 - 0)\/(11\/(-121)).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-15\/4))\/m*m**37*m assuming m is positive.\nAnswer: m**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13677035 + 1?\nAnswer: -13677034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*s, -41*m + 45*m = 5*s + 27. Let k be (((-6)\/4)\/(-1))\/(-1). Which is bigger: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3654 (base 11) to base 3.\nAnswer: 20112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 14*z + 4. Let x be p(-10). Let k = x + 2. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j - 4. Let a be t(4). Let g be (-64)\/a + 124\/3. Suppose -g*o + 123 = -37*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208 + -207. What is the nearest to 3 in -1\/5, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85.3 - 3.7.\nAnswer: 81.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*r - 52 = 0, 76 = -2*i - i + 4*r. Let l = i + 40. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (27\/(-3) + 4). Suppose -3*t = -0*p + p - 4414, 4*t = l*p - 13307. Suppose -2*z + 1772 = -j, -4*j + j - p = -5*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*i + 3864, 8*i + 3864 = 2*m + 6*i. Does 69 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**6 - 56991*j**4 + 29*j**2 + j - 7 wrt j?\nAnswer: 240*j**3 - 1367784*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 3, c: 4, x: 4, p: 2}. Give prob of sequence cx.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(6 + 26) + 13\/(-40). Let j = 119 - 131.6. Let h = -13 - j. Sort 2\/11, h, x.\nAnswer: h, x, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 - q**2 + 5*q - 2. Let p be y(3). Let m be (-1)\/(-5)*p\/(-51). What is the second smallest value in -1\/7, 0.03, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 2 + 4 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -25532*u. Let w(i) = 686*i**2. What is w(j(o))?\nAnswer: 447191754464*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1768 = 21*z + 100*z - 17*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8697412 divided by -164?\nAnswer: -53033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 3991724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 8*p**2 + 2*p)*(-3 - 4 + 2).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7*y\/((y**(3\/2)*y)\/y*y))\/((y*y**(-1\/4))\/y**5)*((y*y**2\/y)\/y*y**2)\/(((y*y**(-2\/9))\/y)\/y**(2\/3)) assuming y is positive.\nAnswer: y**(491\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623 minus -18.7714?\nAnswer: 1641.7714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 182754.\nAnswer: 913770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13029, 13269, 13503, 13731?\n\"Answer: -3*r**2 + 249*r + 12783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-4))\/6*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 5961*z\/4 + 991315.\nAnswer: -(z - 604)*(z + 6565)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/6 - 5*f**3\/2 - 5*f**2\/2 - 11*f + 31. Calculate n(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54.6 + 55.438. Let z = 0.66 - w. Round z to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 0*h + 0*h)*((-2 + 6 + 1)*(-1 - 2 - 1) - 1 + 5 - 1)*(4 - 3 - 2)*(-2 + 0 + 4)*(-1 + 4 - 2) to n*h + f and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -7 + 12, 5*l - 3*d = 2093. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119242*-8.4.\nAnswer: 1001632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 10*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 74 + 23 = 0. Let m(b) = b**3 + 18*b**2 + 16*b - 13. Determine m(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a + 8. Let t(z) = -2*z + 3. Let q(x) = -3*p(x) + 8*t(x). Let f(m) = 4*m + 50. Let h(d) = 2*d + 9. Let s(n) = f(n) - 4*h(n). Determine s(q(o)).\nAnswer: -8*o + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-2) - -2)*10\/(-4). Suppose -f*w = -3*k - 62 - 33, -5*k + 19 = w. Suppose -20*z + w*z = -131. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 74, 164, 288, 446?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + -0.92. Let i = -1486 - -1485.9. Which is the smallest value? (a) x (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10908 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9507.295 take away 4?\nAnswer: 9503.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 50. Suppose 0 = -4*x + t + 15. Solve -3*g = g - x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/72*(0 - -9). Let m(x) be the first derivative of 0*x + 1\/2*x**g - 7. Give m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 16, 273, 4, 1 in decreasing order.\nAnswer: 273, 16, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-14) - -2) + (-1760)\/(-14). What are the prime factors of -1*3 - y\/(-1 + -6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2076 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*w + 13*w - 4 - 34*w)*((0 - 5 + 4)*(-1 - 1 - 1) + 4 - 3 - 2).\nAnswer: -4*w - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Suppose 2 = x - r. Find the second derivative of -x*p + 0*p - 4*p**5 + 6*p**5 - 2*p wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 2*p**2 + 5*p + 4. Let u be j(3). Let x(q) = -q + 6. Let n be x(6). Solve n = -2*m + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2368281 divided by -789427\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -0.273509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.7 times 86?\nAnswer: -6252.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9705 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from nqnnnqn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 - 8*s + 16. Let v be d(2). Solve 7*c - v*c = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m**2 + 1. Let f be -1 + -3 + 4 + 1. Let k be w(f). What is the second biggest value in -5, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 9:17 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1131 + 461. Let d = -669.999348 - o. Round d to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6820 + -6453. Let f = j + 13274.1954. Let a = 1.2 - f. Round a to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 - 244 = -90*l. Let i(q) = 7*q - 24. Calculate i(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1296666)\/3012*(-10)\/105.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04908 (b) 99 (c) -7 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-156)\/54)\/(-3*(-6)\/(-2052)). Is 329 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4395 and 60.\nAnswer: 17580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 59?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + -58?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(204)*1*-6 + sqrt(204))\/((sqrt(84)*1)\/sqrt(7)).\nAnswer: -25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from sswvwsvwwswvvwwwwss?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*r + 5*r. Let v = -2 + r. Which is the nearest to -1? (a) 2\/7 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 775 + 318)*(-y - 3*y + 3*y)*(-3 - 2 + 3).\nAnswer: 2262*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8763?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -600*l**3*v**2 + 1888*l**3*v + 2*v**2 wrt v.\nAnswer: -1200*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*l - 271 = 3392. Solve l*p = 28*p - y - 7, 0 = 3*p + y + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250442 is divided by 5962?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 a, and 2 o when four letters picked without replacement from oqooqsqgag?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/4 - (63\/14)\/(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-79 + 63 + 48).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 7*u**2 + 2. Let a be (-12*2)\/(-3) - 1. Let t be m(a). Suppose t*v - 5*v + 66 = 0. What is the smallest common multiple of v and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let d = -1 - 2. Let v be ((-10)\/14 - -4) + d. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256246 (base 8) in base 14?\nAnswer: -24754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2280 + 1456. Let z = -8213\/10 - t. Calculate the common denominator of z and 3\/(-2)*58\/(-16).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 50 (b) -4 (c) -3 (d) -3\/5 (e) -0.04 (f) -2 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - w. Let f(r) = r + 0*r + 3*r**2 + 17 - 17 - 3*r. What is -3*f(a) + 5*i(a)?\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 653*c - 879. What is the tens digit of m(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37\/55 + -2\/5. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, 1965, -6, 2 in ascending order.\nAnswer: -6, -5, 2, 12, 1965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13.0552 grams?\nAnswer: 13055.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/5 (b) -4 (c) 2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 5. Let k be y(-8). Suppose l - 6 - k = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t**3 - 19*t**2 - 7*t - 5. Let y(u) = -2*u**3 + 6*u**2 + 3*u - 1. Determine r(d) + 3*y(d).\nAnswer: 7*d**3 - d**2 + 2*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -613, 0 in descending order.\nAnswer: 5, 0, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from {d: 3, g: 11}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 15, -11, 5, -4 in increasing order.\nAnswer: -11, -4, 5, 15, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1051131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 11*u**2 + 4*u**2 + 6*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-22)*(-4)\/(-10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -44 (b) -3 (c) 0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -79 - 65. What is the biggest value in k, 2\/15, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 + -5 + 16 - 5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**3\/6 - 9*u**2\/2 + 42*u. Let c(t) = -t + 10. Give 3*c(h) + 4*r(h).\nAnswer: h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + d = 2*d + 3, f - 10*d = -54 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l - 2. Let f be d(-2). Suppose -f*u = -10 - 6. Let s(c) = c**2 - c - 1. List the prime factors of s(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 78*j - 597. Calculate c(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3)*42\/28\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2060729.\nAnswer: -4121458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7 = 29. Solve 4*v - 2*m = -s, 0*v + v - 5*m = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 141?\nAnswer: 70.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z - 44. Let f(j) = 27*j - 81. Determine 4*f(r) - 7*w(r).\nAnswer: 17*r - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*t - 3362*t - 299*t in the form w + g*t and give g.\nAnswer: -3572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)**(2\/33))**(15\/8) assuming v is positive.\nAnswer: v**(5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*4 + -1 + sqrt(2) + -3 + -2)**2 - (sqrt(2) + -6*(sqrt(2) + 3) + sqrt(2) + (sqrt(2) - (3 + sqrt(162))))**2.\nAnswer: -564*sqrt(2) - 643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/306 and 97\/238.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/60 + h**5\/30 - h**2. Let s(l) = -60*l - 237. Let r be s(-4). Let q(z) = 2*z**3 - 3*z**2. What is r*o(p) + 2*q(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = -0*k + k, -18 = -5*k + s. Let u be (-7)\/(-9) + k\/18. Solve -1 - u = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*h**2 + 8926*h\/3 + 1145\/3.\nAnswer: -(h - 229)*(39*h + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 10*l - 43. Let q be d(5). Suppose -q*p + 8139 - 1867 = 0. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -146*b. Suppose 30*y = 1060 + 770. Let s(k) = -122*k + y*k + 64*k. Calculate a(s(i)).\nAnswer: -438*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 8*v + 6*v - 25*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802061.\nAnswer: 13, 103, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25263760 (base 8) in base 14?\nAnswer: -a59ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*u - 14*u**2 + 11*u**2 - 3*u.\nAnswer: -3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 6*x**2 + 7*x - 7. Let t be c(5). Let i be 0*1\/(3 - 1). Let g = 5 + -3. Solve i = -t*p + 3*l, -p - 3*l + g*l = -10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-256)\/3*((-40)\/2 + (-32469)\/(-1644)) - 7.\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10169536 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z - 408 = -935 + 311 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most -15581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7*y + 2*y - 33 = 0, -4*y = k + 22. Put k, 1\/3, -21 in increasing order.\nAnswer: -21, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 3 - (-30 + 25).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = -41*c - 127 + 255 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001000 - 1111000010101101?\nAnswer: -1111010100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 386, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 9*h - 21. Give u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 2.04. Let j(q) = -q + 11. Let z be j(5). Suppose 4*r - 2 - z = 0. Sort r, -1\/5, t.\nAnswer: t, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1. Let c(k) = 10*k - 25. Let q(u) = u**3 - 6*u**2 + 11*u - 70. Let w be q(6). Determine w*c(d) - 100*p(d).\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 - 76. Suppose -3*o + 66 = 3*a, -4*a + 4*o = -o - 61. What is the remainder when v is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/712 and 10120\/208 - 32\/208.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -2*l. Solve l = -4*t - t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 18 - 412*l + 12.\nAnswer: -412*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 11:04 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -63 + 70 - (5 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*f**2 - 16*f**4 + 98*f**2 + (3*f - 5*f + 4*f)*(4*f**3 - 2*f**3 - 4*f**3) - 2*f**4 - f**4 + 14*f**4.\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**12*(y\/y**16)\/y*((y\/(y*y*y*y*y*y\/(y**(2\/75)\/y)*y*y*y*y))\/y)\/y*y*y*y**(-1\/10) assuming y is positive.\nAnswer: y**(-2111\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(7) + 0) + ((sqrt(7)*2 - sqrt(7))*5 - sqrt(7)))**2.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.6 - 21. Let m = o + 8.4. Let u = m + -8. Which is smaller: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxxuxxxxxxxx. Give prob of picking 1 x and 2 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w + 1. Let s(z) be the first derivative of -2*z**3 - 3*z**2 - 3*z + 8. Suppose 22 = -5*n + i, 0 = 2*n + n + i + 10. Determine n*g(j) - s(j).\nAnswer: 2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 3*m**2 - 3*m + 2. Let b be j(-3). Let x = -1 + b. What is the remainder when ((-12)\/x)\/((-3)\/45) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1414968 and 43977.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8837 + 8900 = 21*h. Let x be -1*(-2)\/6*9. Suppose x*k + 27 = 6*k. Calculate the lowest common multiple of h and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78001393.\nAnswer: 41, 1019, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(128) - (sqrt(128)*-3 + -2 - sqrt(128)))**2 + 2*sqrt(128)*-5).\nAnswer: -19224 - 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2594060.\nAnswer: 2, 5, 7, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/24)\/((-1)\/18) - -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294603061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*x + 8, 0*x + 2*x = 5*v - 12. Let r = v + -1. Suppose -6 + 3 = -r*h. Calculate the greatest common factor of h and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 31*m - 3. Give q(13).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 312 + 8. Suppose -66*y + 52 = -l*y. Calculate the greatest common divisor of 143 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 11cd7?\nAnswer: 11cd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.096*-1\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1302300513?\nAnswer: -1302300505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**(1\/19))\/l*l)\/(l*l**25*l*l*l))\/(l**(2\/9)\/(l\/(l*((l*l**12)\/l)\/l))) assuming l is positive.\nAnswer: l**(-6545\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 3*l**2\/2 + 3*l - 1. Let o(x) = -x**2 + 1. Let r be o(2). Let u be n(r). Is u less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 691*j - 3*j**3 - 691*j + (2*j + 0*j - 3*j)*(2*j**2 - j**2 - 2*j**2) in the form p*j**3 + w*j**2 + k + f*j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 + 4 = 0. What are the prime factors of 2\/(3 + z + (-16)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**7\/12600 + q**6\/450 + 2*q**5\/75 + q**4\/6 - 6*q. Let g(t) be the third derivative of i(t). What is k in g(k) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 w when four letters picked without replacement from bbbbbbhwhhbhbbwh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9 = -1, -a = 3*j - 65. Calculate the greatest common divisor of j and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 66 and -22.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -19*q + 132. Let o be m(7). What are the prime factors of 13152\/32 - (7 - o)?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let o(g) = -m*g**2 + g**2 + g**2. Let a(q) = 2*q**2 + q**2 + 3*q**2 - 4*q**2. Determine a(o(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + 2*r - 1. Let q be a(-2). Let m = 16 - q. Suppose -3*g + 46 = -2*d, 4*g - d = m*g - 17. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 2*q**5 + q**5 - q**5 - 3*q**5 + 5*q**5 + (q**5 - q**5 + 2*q**5)*(4 - 4 - 1) + q**5 + 3*q**5 - q**5 - q**5 + 0*q**5 + 2*q**5.\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2\/5 - 9972*v\/5 + 271431\/5 = 0.\nAnswer: -3351, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 686 - 688.493. What is v rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -256\nAnswer: 3\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)*-1 + 3. Suppose y*v - 172 = -16. What is the highest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -33. Let k(p) = -98*p**3 - 2*p**2 + p + 2. What is the remainder when k(o) is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3*c + 4. Let n be m(0). Suppose -3*q - 8 = -n*q. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9909884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 31*g + 130. Let t be k(-26). Suppose t*y = 5*y + 4*y. Let n(i) = i**2 + 2*i - 3. What is n(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12067823 is divided by 93549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -660, -987, -1314?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z - 2*z**2 + 3*z - 3*z. Suppose -m = -3*m + 6. Let g(f) = -m*f**2 + f**2 + 4*f**2. Give g(t(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - -1*(1 - -1). Suppose 5*w - 30 = -5*j, -j - 3*w + 0 + 14 = 0. Suppose 0 = j*b - 6*b + 20. Solve -b*c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w - 110 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 5*w**2 + 3*w**4)*(1 - 3 - 11).\nAnswer: -39*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -864 + 879. Solve -114*d + 109*d = b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -1\/26 (c) 0 (d) 2\/9 (e) 16.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 6*x**2 + 6*x + 5. Let l be q(-5). Let r(j) = -7*j**2 - 5 + 7*j + 4*j**3 + l*j**3 - 3*j**3. Calculate the least common multiple of r(6) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1746?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -23. What is the smallest value in 0, u, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + l - 7*l + 5*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 524 - 1036 = 0. Calculate the remainder when d is divided by (9 - (-4 - -3))*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 690 and 2258715?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -58*g. Let p(u) = 455*u. Let h(y) = 39*b(y) + 5*p(y). Let i(w) = -40*w. Give -7*h(v) - 2*i(v).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 35. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 1. Let f be v(1). Suppose -8 - 2 = -5*u. Let r be (-2)\/(-4 + u) - -1. Solve -g + f = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-3 + 6 - 1). Find the third derivative of -q*u**2 - 154*u + 2*u**3 + 154*u + 3*u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 11) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -63. Suppose -p*q = -q - 120. Calculate the highest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/14)\/((-945)\/882)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s = 0. Let l be 72\/378*-2*(-9)\/(-48). Which is greater: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -70, -66, -62?\n\"Answer: 4*v - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (174\/24)\/(1\/(-4)). Let k = m - -42. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((14\/60)\/7)\/((-5388)\/(-121230)))\/(9\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1079 by -1.\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3115462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(-2 + (sqrt(13) - (1*sqrt(13) - sqrt(13))**2*-5 - (-2*sqrt(52))**2) + 3).\nAnswer: -6*sqrt(13) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/9 + -1 + (-5)\/(-10). Are 1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6848.49896 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 2695.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 516 divided by -4\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 42. Let j(v) = -3*v + 42. Calculate -3*j(t) + 4*z(t).\nAnswer: t + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2633 = 5*u - 2*u + 4*i, -3*u + 4*i + 2617 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*p - 659*p + 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2430*h*p**2*z**2 + h*p**2 - 2*h*p*z**2 - 13*h*p*z - 9*h*p - 6*h*z**3 - 34*p**2*z**3 - 2*p*z**2 - 7*z**2 wrt p?\nAnswer: 4860*h*z**2 + 2*h - 68*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3244, -6485, -9722, -12955, -16184, -19409, -22630?\n\"Answer: 2*x**2 - 3247*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/29005288 and -47\/6693528.\nAnswer: 87015864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1914 by -319.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 414266390*x**2 - 44 + 414266393*x**2.\nAnswer: 3*x**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109339729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 21 (b) 3\/4 (c) -4\/7 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-11) - 1170\/(-143). Suppose 0 = 7*l - x*l - 1. Let o(q) = -4*q**2 + 3*q + 1. Let z(f) = f**2 - f - 1. What is l*o(a) - 2*z(a)?\nAnswer: 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 219010206*v**2. Let k(w) = -6*w. Determine f(k(c)).\nAnswer: 7884367416*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -7998395029646.\nAnswer: -7998395029645.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -232401 divided by 303?\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 132983 - -9?\nAnswer: 13298c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -356*y**6 - 8*y**5 - 2*y**3 + 10172*y**2?\nAnswer: -42720*y**3 - 480*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*c - 47 = 2*c, -c = -5*r + 84. Let a(f) be the first derivative of 4*f**2 + 2*f + 6480. Is 23 a factor of a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478713 divided by 159571.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 9. Let l be b(7). Let s(f) = -26*f + 7. Let q(d) = -7*d + 2. Let r(k) = l*s(k) + 7*q(k). Let x(o) = o. Calculate r(x(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 6288, -2\/11, 7, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 107 = -3*x - 118, 3*x - 2*t + 1 = 0. Solve -x*d = 2*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1319\/35967 + -1\/631. Put 0.6, s, -12 in decreasing order.\nAnswer: 0.6, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 74, 164, 290, 452, 650?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-3) + (-252)\/22\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1294*k**2 + 201*k**2 + 65*k**2 + k**2 + 0*k + 0*k + (2*k**2 - k + k)*(3 - 2 + 1) - 5*k**2 + 3*k**2 + 0*k**2 - k**2 + 2*k**2 + 2*k**2.\nAnswer: -1022*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 6)*(402*s**3 - 554*s**3 + 379*s**3)*(-s**2 - s**2 + 4*s**2).\nAnswer: 2270*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -963528076 smaller than -963528075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5064 - -5510. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 195?\nAnswer: 22\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*s - 6 = 0, -8 = 4*a - 3*s + 16. Is (-4)\/a + 330\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:47 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1795 + 5?\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47908, 190738, 428788, 762058, 1190548?\nAnswer: 1714258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmcmmmmmmmmcmmmmm. What is prob of picking 2 m and 1 c?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6856 and 12?\nAnswer: 20568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 24, -5477 in descending order.\nAnswer: 24, 6, -1, -5477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1490 and 15?\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -31. Suppose -336 = -19*l + a*l. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q**2 - 4*q + 2. Let c = 7 + -4. Suppose 0 = c*k + 2*k - 15. Give z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2131 - 502. What are the prime factors of t?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1305 = 3*t + p + 933, -3*t = -2*p - 381. Suppose 0 = 51*u - 56*u + 500. What is the highest common divisor of t and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.7 + -18. What is the smallest value in 0.3, r, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4310*z**2 + 2440.\nAnswer: 8620*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23889, 47795, 71749, 95775, 119897?\n\"Answer: 4*t**3 + 23878*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65923560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*w + 67 = 0, 6*w + 43 = 3*y + 4*w. Suppose -5963 = y*k + 23277. What is k rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5044268?\nAnswer: 2, 23, 54829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -50.25.\nAnswer: -10.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 2}. Give prob of picking 1 f and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -140*(-2 + 603\/(-36))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*((-4)\/(-34) - 56700\/5100 - (-87)\/9). Suppose -341 = -4*n - 5*k, n + 2*k - 87 = -k. Suppose b + n = 5*b. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2210 and -112678 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.001, -110, -2, 2\/5 in descending order.\nAnswer: 2\/5, 0.001, -2, -10, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*h - 7*h - 2*y, 0 = -h + 3*y - 10. Let j(o) be the first derivative of -8 + 0*o + 2\/45*o**3 - 2\/15*o**h. Factor j(n).\nAnswer: 2*n*(n - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4450, 262 in descending order.\nAnswer: 262, -2, -4450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 1853698.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 7:16 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -1.4.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (1 + 1 - 0). Suppose l = q*f + 265, 2*f + 200 = -f + l. Let v = f - -148. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/133 (b) -33 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 30599010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2736104520 to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqtt when four letters picked without replacement from tqqqqqqqqqqtqtq.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {x: 8, i: 1, s: 3, b: 2, w: 4, m: 2}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(-1*sqrt(4)))**2 + -2 + sqrt(11) + 4 + -4*(5 + (sqrt(704) - (sqrt(704) + -1))**2 - sqrt(704)).\nAnswer: -11 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.16+-13760.7534374\nAnswer: -13760.5934374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -141819064, -567276279, -1276371638, -2269105141, -3545476788, -5105486579, -6949134514?\n\"Answer: -141819072*b**2 + b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4315077 (base 9) in base 3?\nAnswer: -11100112002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4949 rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 2, s: 1, r: 1}. What is prob of picking 1 c and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.534 - -8.157. Round f to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-6) - 46*3\/(-12). Suppose -2*a + 891 = -3*b, -2239 = h*a - 14*a - 4*b. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 3*d**2 - 3*d - 2. Let q be x(-4). Let k be (-2)\/q + 32\/12. Solve -w - 2 = -k*m + 2, 0 = -m + 4*w - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*3496.1492\nAnswer: -1048.84476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17445 - 2?\nAnswer: 17443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnbb when four letters picked without replacement from bbnnp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 10210 and -1431101.\nAnswer: -1420891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2382 and -1?\nAnswer: -2382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 1\/4 (b) 0 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 33eb9?\nAnswer: -33eb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.31 + -0.11. What is the closest to l in 4, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.9445 + 0.0555. Which is the nearest to -1? (a) k (b) -1\/9 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 44 + 102. Suppose -37 - a = -5*o. Is (-4)\/o - 11250\/(-165) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -16. Suppose -3*x = -z*x - 12. Suppose x*q = 4*c - 48, q = 4*c + c - 52. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 102*w - 752. Let z be o(-9). Let g = 2 + -2.3. Which is the third biggest value? (a) 6 (b) g (c) -1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**5 + o**4 - 2*o**3 - 7*o**2 - 7*o - 1. Let q(j) = j**4 - j**2 - 1. Let b(t) = i(t) + q(t). Let b(c) = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56584670 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-65 - -45)) + (2 - (3 + 0)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 22. Suppose -3*l + 6 = -a - 1, -3 = -s*l - 3*a. Suppose l*c - 4*r - 182 + 50 = 0, -c - 2*r = -54. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*v + 3449883 - 2513761 = -2928747. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-30)\/(p**(-1)*p*p*p*p*p*(p*p**6)\/p)*(p**(-3\/8)\/p*p**(-4)\/p)\/(p**6*p**(-3\/4)\/p*p) assuming p is positive.\nAnswer: p**(-413\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/69? (a) 2\/7 (b) 1 (c) 167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -218, -234, 45 in ascending order.\nAnswer: -234, -218, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -0.02, -1.8, 2, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j + 2874 + 2704 - 5750 to the form z + l*j and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 0.1 (b) 3 (c) 545.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*s**2 + 83*s**2 + 341*s**2.\nAnswer: -127*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.105 and 0.2195.\nAnswer: -0.0230475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (16\/200*10)\/((-2)\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27623289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, -0.253, -5?\nAnswer: -0.253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -436694163, -873388325, -1310082487, -1746776649, -2183470811?\n\"Answer: -436694162*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 259.868mg?\nAnswer: 0.259868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -28 + 60 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -248*v. Let z(q) = -26*q. Suppose -50 = -7*d + 17*d. Let u(f) = d*r(f) + 48*z(f). Let n(s) = 11*s**2. What is n(u(o))?\nAnswer: 704*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 27. Calculate g(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*b = 4*c - 10, -2*c + 3*b + 8 = 0. Put -4, 1\/8, -1\/2, c in increasing order.\nAnswer: -4, -1\/2, 1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 637 and 180116.\nAnswer: 114733892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2556032?\nAnswer: 2, 19, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -8, 2351 in increasing order.\nAnswer: -8, -3\/2, 2351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7069.\nAnswer: 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 24 = 22*g. Let w(r) = 530*r**2 - r + 8. Is w(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 447.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 1 - 5 - -3. Solve 2*z - f = 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21802)\/330)\/((-1)\/4). Let v = 2\/191 + -147649\/573. Let g = v + l. Find the common denominator of -19\/34 and g.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17021045 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-209)\/40 + (-12320)\/(-2200)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**6\/24 + 3*m**5\/20 + m**4\/8 - m**3\/6 - 3*m**2\/8 - m\/4 - 1. Solve f(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j - 2 + 6 + 13*j)*(-2*j**2 - j**2 + j**2).\nAnswer: 2*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/11, 0.4, 0, 4, -1, 1.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19*((41650\/(-30))\/35*(-3)\/(-21) - -7)\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + f**2 + 4*f)*(0*f**3 + 0*f**3 + 2*f**3) + (5 + 0 - 2)*(-34*f**4 - 2*f**5 + 10601*f**2 - 10601*f**2) + 5*f**5 + 0*f**5 - 2*f**5.\nAnswer: -f**5 - 102*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -301 + 238. Let v = x - -67. Suppose 0 + 4 = 4*z. Solve z = v*o + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169983547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 10. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2502\/1913 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + b + (-b - 2*b - b)*(1 - 7 + 1) - b + 0 + 0.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*n + n - 12 = 0, -4*v - 20 = -5*n. Suppose -4*z = 4*u - 8*z - 12, 3*z = v. Find the second derivative of -4*f - 3*f**u - 3*f**3 - f wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*-1*(-2)\/2. Let w be 18\/(-45)*(2 - 22). Calculate the greatest common divisor of w and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzfzuuazzu. What is prob of sequence ufa?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 10:30 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -3\/13 (b) -1\/6 (c) -633\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + 4 - 2 + 3 + (-2 - 1 + 1)*(0 - 2 + 3))*(2*y**3 - y**3 + 0*y**3).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 1)*6\/15. Let u(k) = -48*k**2 - 4 + 72*k**m + 4. What is the remainder when u(1) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 7. Let a be h(-6). Let o = 14 + a. Let w = o + -29. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346705 (base 8) in base 6?\nAnswer: 21434313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 33*u + 3. Let w be -3 - (0\/(-2) - 20). Suppose -x = 3*k - 30, -w = -4*k - x + 24. Calculate the remainder when k is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/15 and -67\/174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 275*j**3\/6 - 169*j**2 - 212*j. Differentiate n(z) with respect to z.\nAnswer: 275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.9 rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 153.6528 and 1.\nAnswer: 153.6528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r + 13. Let s be (8 + -1 + -6 + 0)*-9. Determine i(s).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(4))**2*6 + sqrt(3) - (1*sqrt(243))**2)*3.\nAnswer: -675 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -43*t**5\/30 + 5*t**4\/24 + 379*t**3\/6 - 26*t**2 + 3*t. What is the derivative of k(j) wrt j?\nAnswer: -172*j + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45437170, 45437168, 45437166?\nAnswer: 45437164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 35. What is the third biggest value in -0.3, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 425*(-5)\/(-5775) - (-27)\/(-63).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20151111 (base 6) in base 11?\nAnswer: -362600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1999, -7230, -15689, -27382, -42315, -60494, -81925, -106614?\n\"Answer: -c**3 - 1608*c**2 - 400*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 1.60443?\nAnswer: -0.802215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3773078 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*2\/35)\/(3\/14*2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 474 - 456. Suppose -113 + v = -5*c. Solve -c*d + 17*d = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9*s + 132 = 0. Calculate the remainder when 1164 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(156)\/(sqrt(108)\/sqrt(9)))**2 - ((-4*sqrt(65))\/sqrt(5)*-4)**2.\nAnswer: -3318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52 + 244*q - 518*q + 258*q wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -22. Let c = -66 + x. Let f = c + 23.99999915. Round f to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6190, 7295, 8428, 9595, 10802, 12055, 13360, 14723?\n\"Answer: y**3 + 8*y**2 + 1074*y + 5107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put -61, 12, -766 in ascending order.\nAnswer: -766, -61, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/15 - 268*u**2\/5 - 1584*u\/5 = 0. Calculate u.\nAnswer: -396, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1022.3 - 1022. Let n = 0.01 + 2.99. Which is the third smallest value? (a) -9\/4 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 5*o**2 - 2*o**2 + (0*o - 2*o + 0*o)*(5 - 5 + 2*o) - 2*o**2 + 2 - 2 - o**2 + o**2 + 2*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -623*d - 7*d**2 - 24*d**2 - 11*d**2 - 70*d**2 - 208*d**2 wrt d?\nAnswer: -640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:50 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r**2 + 7*r - 14. Give a(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d*(d**5\/d*d)\/d)\/(d**(-2\/3)\/d**8))\/((d**(1\/3)*d)**(-34)*(d\/(d*d*d**2*d))**(-1\/52)) assuming d is positive.\nAnswer: d**(740\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 11*g - 11*g. Let t(z) be the third derivative of z**7\/840 - z**4\/8 - 9*z**2. Let x(j) be the second derivative of t(j). Calculate c(x(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 111*5\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1035)\/175 + 8\/(-28)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.2, -9, 2\/45 in decreasing order.\nAnswer: 2\/45, -0.2, -1\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74572492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 3341689160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1632 divided by 16\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.6. Which is the third biggest value? (a) -5 (b) x (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -40. Which is the second smallest value? (a) 5 (b) k (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -786134, -1572268, -2358404, -3144542, -3930682, -4716824, -5502968?\nAnswer: -6289114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*m - 107*m + 5. Let r(l) = 33*l**3 + 2*l - 3. What is the lowest common multiple of 16 and r(m)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 59 - 21 = 0. Let w be (-7 - 4)\/((-1)\/7). Let j = w + u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j**3 - 2*j - 9. Let r(l) = 23*l**3 + 5*l + 26. Let m(g) = 17*p(g) + 6*r(g). What is the remainder when m(2) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714191328 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -8*v + 5*v. Suppose v = 18*u - 23*u + 755. List the prime factors of u.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-70)*1\/(-4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-11)\/2 + 5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 + 126*k + 4*k**3 - 126*k + 1 + 2*k**2 in the form u*k**4 + s*k**3 + b*k + w + d*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 + 1924*y + 462722 = 0.\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*m + 38*m + 80. Let u be (-140)\/(-56)*1136\/m. What is the highest common factor of 355 and u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4592*z**3 - 2*z**2 + 2*z - 1. Is r(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.5737 and 0.33.\nAnswer: -3.2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/22, 130, -1\/3, 3\/82, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 16.7. Let d = -191 + 190. Sort d, -2\/13, o in ascending order.\nAnswer: o, d, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1053\/(-9))\/((-464)\/40 - -11). Solve 39*r = l + 78 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89153\/79650 + -52\/1593. What is the common denominator of 53\/370 and p?\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.1, 2\/9, -14, -1243, 0.5, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 11.8. What is the closest to 1 in -0.3, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49330\/1791 - -113\/199. Let s = 28 - v. Which is the closest to -0.04? (a) s (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000030936 rounded to 7 dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11346 - -11999. Calculate the remainder when w is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4679662 = 44*i. Let z = i - -81949. What is z rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(65\/(-78))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*d - 2676 = 0, 4*d + 1094 = 2*s - 690. What is the second derivative of -17 + 3*k**2 - s*k + k**2 - 2*k**4 + 891*k + 0*k**4 wrt k?\nAnswer: -24*k**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2883db (base 14) to base 7.\nAnswer: -14643164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-6 - 20) - (-2 - 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016538 and 0.2.\nAnswer: -0.0033076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 159.9, -0.2, -472?\nAnswer: 159.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277067*h**2 - 2312*h + 2312*h + 277066*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010170385 to 7 decimal places.\nAnswer: 0.0001017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -48*p**2 + 3936*p - 18. Determine x(82).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4979 - 0.0979. What is the second biggest value in 4.9, -4, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 890*a**5 - 117385*a**2?\nAnswer: 53400*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3 - 1. Solve 0 = f*c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 85, 136, 243, 430, 721?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:08 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-6 - 8\/4). Put 3, 25, f in increasing order.\nAnswer: 3, f, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfeeegdgfdegdddgdd. What is prob of picking 1 d and 2 g?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2)*(-2)\/(-4). Let b be (-1 - (-968)\/20)*8\/3. Let f = -127 + b. Is h bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*a + 15, -20 = j - 3*a - a. Suppose j = t - 3*t + 4. Let f = 19 - t. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -141. Let k = x + -122. Put k, 9, 3 in ascending order.\nAnswer: 3, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 121112553?\nAnswer: -121112545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.14 - 1.04. Which is smaller: 6\/17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -2312, -8262, -19846, -38942, -67428, -107182?\nAnswer: -160082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2233 + -2303?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -425987.976 - -430246. Let j = l - 4242. Let n = j + -16. Round n to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -1, 5, -15, -5 in ascending order.\nAnswer: -15, -5, -3, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*k + 27 = 549*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b = 2*n - 10, 3*b - 15 = -4*n. Suppose -10 = 2*q + n*q. What is the units digit of (-2)\/2 + (q - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Suppose j = -j + 4. Let t(p) be the second derivative of 1\/6*p**3 + 0 + p + 0*p**j. Calculate t(k(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 4412?\nAnswer: 8824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3*g - 4. Suppose 5*i - 3*q = -2 - 3, -3*i = 4*q - 26. Calculate the remainder when 2 - ((-28)\/i + -6) is divided by d(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85622.7 to the nearest 100.\nAnswer: -85600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -930\/22333?\nAnswer: -930\/22333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 9*u - 5. Let r(x) = -x**3 - x**2 + 8*x - 4. Let d(m) = -5*r(m) + 4*y(m). Determine d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d - 3*d**3 - 45*d + 1 - 46*d + 5*d**3 to n*d**3 + m*d**2 + w + v*d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 358*m - m**3 + 355*m + 361*m + 2*m**3 + 6 - 1067*m + 2*m**2. Give o(-5).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 2*o**2 + 4*o - 1. Suppose 0 = 5*z + 5*i + 21 - 61, -z + 12 = 2*i. Let d(w) = w. Give z*d(u) - k(u).\nAnswer: u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 162966103691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394732 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/5048 and -101\/36598?\nAnswer: 146392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -505*q - 9. Let l be (-5)\/(8\/((-48)\/(-15))). List the prime factors of d(l).\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 31*i + 0 + 0 to the form j + c*i and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 6:23 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 130338 + 4a?\nAnswer: 130387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = t + 12. Let c = 97 - t. Solve -c = -4*p - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/3 (b) -2\/5 (c) -0.3 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 15 + 18. Let k = v - -51. Suppose -2*b = -3*n - 39, 4*b + 2*n = 30 + 40. Calculate the smallest common multiple of k and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -3, -3757, 6 in descending order.\nAnswer: 12, 6, -2, -3, -3757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c - 55*c**2 + 5*c + 53*c**2.\nAnswer: -2*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56*21\/1008)\/(14\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2080 and 15680?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 4:23 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2023 + 1?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2 + 14025724*q - 49180233431044 = 0 for q.\nAnswer: 7012862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305 - 276 - 278 - 285 + d**3 - 78*d**2 + 1144.\nAnswer: d**3 - 78*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 51. Let q be 244\/612 + (8\/z)\/(-2). Is q at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -1.2. Let z = -0.5 + 0.3. Let l = -65 + 70. Which is the second smallest value? (a) z (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2. Let z(f) be the third derivative of f**5\/20 + 6*f**2. Determine z(q(i)).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3746, 7493, 11240, 14987, 18734, 22481?\n\"Answer: 3747*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2)*5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.6 - 35.7. Which is the nearest to r? (a) 1 (b) 5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 12*c**2 - c + 11. Suppose 2*f + 145 - 713 = -2*l, f - 276 = l. Suppose 275*s - f*s + 60 = 0. What is g(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122419 (base 11) in base 16?\nAnswer: 2f3db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.001 - 0.101. Let c = 0.11 + 0.99. Is s at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u + 12. Let w be d(-2). Solve -w - 1 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, o: 7, r: 8, j: 3}. Give prob of sequence joj.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4234?\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 - 137*k + 22*k - 3*k**2 + 31*k + 145 + 498 = 0 for k.\nAnswer: -33, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267 divided by 89\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 181187 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 16*j - 59. What is r(8)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*m - 4*j + 4, 40 = -3*m - 12*j + 10 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/4 + m**3\/2 + 2*m**2 + 9*m. What is the least common multiple of (12 - 1) + (-1)\/1 and d(-3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 + 3*z + 9. Let c = -25 + 23. Let b(y) = -6*y**2 - 2*y - 9. Let p(a) = c*l(a) - 3*b(a). Differentiate p(j) with respect to j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11224\/7 - -1603. What is the third biggest value in 3\/2, 3\/8, 181, f?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12224275 by -2444855.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5181)\/314*-3*2\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(264)\/sqrt(192))\/(sqrt(176)\/sqrt(4)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**4\/3 + 5*z. Let p(f) = -122*f**2 - 3*f. Let s(j) = 140*j**2 + 4*j. Let x(l) = -4*p(l) - 3*s(l). Calculate x(k(r)).\nAnswer: 1088*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/7 + 13424*t**3\/7 + 25144608*t**2\/7 + 8789820416*t\/7 + 857484173312\/7.\nAnswer: 2*(t + 208)**2*(t + 3148)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:10 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26135770 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41136, -41137, -41138, -41139?\n\"Answer: -g - 41135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 87*i - 7. Let g be j(1). Suppose -5*m - 5*v + 160 = 0, -3*m - 4*v + 9*v = -g. Calculate the smallest common multiple of 8 and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*j + 36 = 0, -x = -3*x + 5*j + 117. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z - 60. Let s = 3.2862 - -0.7138. What is the smallest value in z, s, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 11) in base 14?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let y = -4 + 10. Let p(b) = b**2 - 6*b. Let n be p(y). What is the second biggest value in z, -2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -13 + 20 - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 19*i**3 + i**2 - 5*i - 6. Determine g(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740*d = 978*d + 6551 - 95673 - 39728 for d.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 11*r + 22. Give n(10).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, n: 1, t: 6, d: 4}. Give prob of picking 2 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 22*h + 11 + 10 = 9, 0 = 4*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3991, -6517, -10727, -16621, -24199, -33461?\nAnswer: -44407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 136. Let t = s + -78.28. Round t to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 2.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 + x + 9. Determine w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l - 21. What are the prime factors of (-2 - l\/2)\/(3\/62)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22212, -88833, -199868, -355317, -555180, -799457, -1088148?\nAnswer: -1421253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from laallllaaalalaaa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 10424310?\nAnswer: -10424301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15662, -14395, -13128, -11861, -10594, -9327?\n\"Answer: 1267*t - 16929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 1. Let t(c) = -10*c**3 - 72*c**2 - 106*c + 22. Let l(y) = 2*k(y) + t(y). Let l(q) = 0. What is q?\nAnswer: -4, -3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/2 - 222096892*x + 24663514718029832 = 0.\nAnswer: 222096892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -316745, -633492, -950241, -1266992, -1583745, -1900500?\n\"Answer: -m**2 - 316744*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 355346.2 nanoseconds?\nAnswer: 355.3462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 76, 70, 52, 16?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1173821443 and 628.\nAnswer: 1173822071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 3}. What is prob of sequence rvr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 6*t**3 - 8*t**3 + 22)*(-t + 0*t - 2*t) as m + q*t**3 + o*t**2 + i*t + l*t**4 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**25)\/(c\/c**(-1\/7)))\/(c*c**11\/c*(c*c*c**(-22))\/c) assuming c is positive.\nAnswer: c**(258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(168)*-2)\/(1*(sqrt(7) + (sqrt(7) - (sqrt(21)\/sqrt(3) - sqrt(7))))))\/(-1*(sqrt(1152) - -2*sqrt(1152))*-1)*-5)**2.\nAnswer: 625\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a day?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 208550?\nAnswer: 1\/208550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 114 = 5*g, 3*g + 2*y - 4*y - 78 = 0. Calculate the greatest common factor of 312 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*h**5 + 14*h**5 + 16*h**5 + (5 - 4 + 0)*(99*h**5 - 67*h**5 + h**4 - 2*h**3 + h**4).\nAnswer: 123*h**5 + 2*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 2*d**3 + 2*d**4)*(1 + 2 + 3 + (-1 + 9 + 2)*(-1 - 4 + 0)) + 1 - 1 + 10*d - d**4.\nAnswer: -89*d**4 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13429*m*s**3 + m*s**2 - 264195*m*s - s**3 + 15*s**2 + 109*s wrt s?\nAnswer: 80574*m*s + 2*m - 6*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*m - 11943743 = -11946398 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2. Let j be (-7 - -2)*1 - -1. Let k(w) = -w**2 - 4*w + 5. Let n be k(j). Let u(i) = n*i + 2*i - 5*i. What is u(a(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -354, -1422, -3208, -5718, -8958, -12934, -17652?\n\"Answer: -z**3 - 353*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3326167025.\nAnswer: 5, 41, 3245041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 = 9*j - 270. Suppose -4*n - 3*p + 3 = 0, n + 6 = -6*p + 3*p. Sort 2, n, j in decreasing order.\nAnswer: n, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f = -4*x - 50, -3*f + 4*x - 2*x + 4 = -2*f + x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/298 and (-354)\/4*118\/2124?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215264 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5 - 714*r**4 + 34083*r**3 - 422556*r**2 - 1283196*r + 3995280 = 0.\nAnswer: -4, 2, 30, 31, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/3 - 44*l + 2416. What is t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0.1, 0.01 in decreasing order.\nAnswer: 16, 0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 523 (b) 5 (c) 0.0474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + 19*z - 25. Let b be h(-15). Suppose -b = -5*t + 3*n, -t = 2*t + 2*n - 238. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (9 + -8 - (-6 + 1))) + -10\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 733\/4326 + -2\/721. Factor 0*r**2 - 1\/3*r**3 + 1\/3*r + 1\/6 - i*r**4.\nAnswer: -(r - 1)*(r + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:39 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 25584300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 158*p + 291. Determine i(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -55 - -54 - (7 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 6*c - 2. Let q be (-14)\/77 + 90\/11. Suppose 0*y - q = -y. Suppose 6*m - y = 4*m. What is i(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14316216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004889705 to 7 decimal places.\nAnswer: 0.0000489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n - 4*n)*(2 - 6 - 2*n + 24).\nAnswer: 6*n**2 - 60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**2*v**3 + 263*o**2*v**2 + 2*o*v**3 + 312*o wrt o.\nAnswer: -4*v**3 + 526*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/2 - n**2 - 2*n. Suppose -5*s - 27 = -3*k, 0 = k + 4*s - 121 + 146. What is u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6849 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) 12 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141 + -4154?\nAnswer: -4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242687231 and 1436.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 (base 9) in base 11?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 - 2286747*d**3 - 13720389*d**2 - 11433645*d = 0. What is d?\nAnswer: -762243, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 498.9999063 + -499. What is f rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1380 - 360. Let s = 689 + f. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bc2 (base 15) to base 9\nAnswer: -3572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -3533.78.\nAnswer: -17668.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883206.4 litres to millilitres.\nAnswer: 883206400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 270*c**2 - 478*c - 15587. Determine r(268).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*v - 54*v - 4*v + v as d*v + p and give d.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 3. Let b be (-2)\/(-3) - 1256\/(-24). Let d be -18*(-12)\/(-90)*5*4. Let a = d + b. Give v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9847\/3 - 3282. What is the second biggest value in 2\/5, -0.22, -2, y, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1025723\/19734 - 3971\/78. Let t = 12\/23 - s. Which is the closest to -1? (a) 4 (b) t (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -14 - -14) + -10 + -9 + -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqqbeeeebqeebb. What is prob of sequence qb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l**2. Let y(w) = -w**2. Suppose -12*g - 16 = 200. What is g*y(v) - 2*m(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 377*p - 774*p + 379*p + 17*p**2 to b*p**3 + m*p + u + q*p**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i**2 + 3*i**2 + 4925 - 4899)*(-i + 1 - 1) as c + w*i + x*i**2 + v*i**3 and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-910)\/20)\/(-13))\/((-2)\/4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 228, 0 in increasing order.\nAnswer: 0, 1, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 - -128 - (2 + (7 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2170303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23224, -23210, -23194, -23176?\nAnswer: -23156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**19*j**(-1\/26))\/(j*j\/(j*j**(-12\/13)))**(-3\/10) assuming j is positive.\nAnswer: j**(254\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-570)\/(-40))\/((-49)\/(-2)) + (-2)\/4?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l\/(l\/l**(1\/2)))\/l)\/(l*l**32)*(l\/(l\/l**(16\/5)))\/l*l\/((l**(-28)*l)\/l*l*l) assuming l is positive.\nAnswer: l**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -31*a**2 + 45*a + 27*a**2 - 10 - 46*a**2 = 0. Calculate a.\nAnswer: 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*c - 3 + 2 + 26*c - 32*c to v*c + n and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1 - 7*s + 0 + 7 + 6*s**2. Let x = -466 + 460. Let b(v) = 12*v**2 - 15*v + 13. Let a(w) = x*b(w) + 13*o(w). What is a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -26.5. Let s = -0.6 + i. Let u = 1.1 + s. Which is the second biggest value? (a) u (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2\/5)*s\/(s**(-6\/23)\/s) assuming s is positive.\nAnswer: s**(329\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/12)\/((-32)\/(-24)). What is the biggest value in -0.013, 3\/5, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(63)\/(sqrt(9)*3).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*s = b - 10, 3*b = s - 5. Suppose b = 3*z - 1 - 11. Is z\/18 + (-304)\/(-9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 0. Suppose s = 2*p - 13 + 5. Find the third derivative of 6*g**p + g**2 + 2*g**2 - 2*g**4 wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6680 is divided by 201.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/3 and 65\/117689019.\nAnswer: 117689019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*u*v - 7*n**3*u + 3*n**3*v - 3*n**2*u*v + n**2*u - n**2*v wrt n?\nAnswer: 6*u*v - 42*u + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:11 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c - 5. Let v be (-12)\/8*22\/3. Let m be v + 10 + 5*1. Calculate the remainder when b(m) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 + 2*c**2 - c**3)*(8361 + 43323 + 50118 + 9841 - 17992) to g*c**3 + h + k*c**2 + t*c and give g.\nAnswer: -93651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epp when three letters picked without replacement from qlpxepc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 11*x + 604 = 6*x, -x = -4*i + 1244. Calculate the least common multiple of 52 and i.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/4 - 441*q**3\/2 - 82953*q**2\/4 - 670886*q - 7215780 = 0. Calculate q.\nAnswer: -780, -44, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, r: 1, b: 3, q: 3}. What is prob of picking 1 z and 1 q?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdpmpkkv. Give prob of sequence vkp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63304?\nAnswer: 2, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50, 464, 1600, 3818, 7478?\n\"Answer: 60*p**3 + p**2 - 9*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 84462.11cm?\nAnswer: 844621100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -43*q + 9. Is j(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202288771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 2*n - 7*n + 4*n.\nAnswer: -n + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**23*g*g)\/(g**(-1\/2)*g) assuming g is positive.\nAnswer: g**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*0.58399\nAnswer: 0.525591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/34? (a) 2\/9 (b) 0.5 (c) 86 (d) -0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 41*k**3\/3 - k**2 - k + 12. Is g(-1) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Let q(g) be the second derivative of -g**5\/20 - g**4\/12 + 7*g**2\/2 + 14*g. Calculate q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 795\/477*-3*65\/175.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 16*j**2 - 28*j + 3. Let b be s(-14). Calculate the greatest common factor of b and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 62*u. Let k(x) = 45*x. Determine k(d(t)).\nAnswer: 2790*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + w + 2*w. Let q = -100 + 104. Determine l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*j + 956 = 0, -41*k + 5*j = -42*k + 452. Calculate the remainder when k is divided by 149.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.4 + 1.4. Put -3, z, 0.2, 0.4 in descending order.\nAnswer: 0.4, 0.2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 16908*w**3 - 23619612*w**2 + 574195680*w - 3459844800.\nAnswer: -3*(w - 12)**2*(w + 2830)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 64\/(-20))*20\/(-12). What is the closest to p in 3, -0.1, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(405) + -2 + sqrt(405) + 4)**2 + 5 + (-3 + sqrt(405) + 1)**2.\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62836846, 62836845, 62836844?\nAnswer: 62836843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068120409 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296643895 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*l - 5. Suppose 0 = s + 3*j - 134 - 43, 5*s = l*j + 825. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -799*h**2. Let q(d) = 4*d**2. What is q(s(l))?\nAnswer: 2553604*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 300\/(-40) - (-42)\/(-52)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**4\/4 + 3*l**3 + l**2\/2 - 10*l - 5. Let x be a(9). Let i(n) = n + 2. Determine i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -238, 1, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*i**2 - 570*i**2 + 192*i**2 + 198*i**2.\nAnswer: 31*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 132*r - 9. Let t be c(-1). Let h = 144 + t. Solve 2*p - 6 = -0*p + 2*a, -4*p = -h*a - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + r + 4*r. Let n(o) = -17*o. Let z(h) = 6*h. Let i(j) = 3*n(j) + 8*z(j). Calculate i(u(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 23 - 8 = 0. Suppose -3*o + a = -1 + 6, -o + 3*a - r = 0. Let m be 6\/(-15) - (-4)\/10. Are m and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 12. What is w(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4026*o**2 - 9*o + 58. Is y(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -3.9, -0.01, 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*k**3 - 4*k**2 + 180*k - 6557214.\nAnswer: 162*k**2 - 8*k + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 (base 8) in base 15?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1427523*z - 965287 wrt z?\nAnswer: 1427523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = -2*b. Let x(p) = -p**3 + 9*p**2 + 3*p - 11. Calculate the remainder when 78 is divided by x(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -2*n - 0*m - 20, 3*n + 5 = 377*m - 375*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 66.365, 0.1, 0.3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 3*o - y, -3*o - 5*y + 241 = o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39483\/(-856) + 1802\/848\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3265 + 3314. Solve -l + 79 = 15*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 2*i - 2*i**2. Let u(g) = 29*g - 136. Let z(j) = 39*j - 79. Let r(c) = 4*u(c) - 3*z(c). Calculate r(w(q)).\nAnswer: 2*q**2 - 307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 9. Let n be f(15). Suppose 16 = n*r - 2. Solve -h = 4*z + 3, -h - 3*h = r*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = f - 2*f - 5, -12 = 3*i. Let j(y) = y**2 - 3*y - 12. Calculate the remainder when j(f) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + z**2 + 2*z - 1. Let q = -1 + -1. Let n be l(q). Let w(a) = 3*a - 17. Let r be w(n). Solve r*o = 5*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**25*o**(-10)\/o)**(-2\/13))**43 assuming o is positive.\nAnswer: o**(-1204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/14*280\/(-80)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {u: 2, l: 4, k: 3, w: 8, t: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555536641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 935800 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27008 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*k + 48*k + 5 - 6 - 25*k - 21*k**2 + k**3 as h + w*k**2 + b*k**3 + q*k and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -561 - -590b?\nAnswer: 536a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10295910 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859 = 144*w + 3019 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*q - 399, -2232 = -5*p - q - 1571. Solve 133*a - 8 = p*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1950.7987 - -2.\nAnswer: 1952.7987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/((-612)\/(-216)). Which is the closest to 3\/2? (a) 0 (b) 0.07 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l + 60. Let m be z(-14). Suppose -2*u - 2*g = -m, g + 2*g - 15 = 0. Let c = 7 + 4. Calculate the remainder when u is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 + -7 - -50)\/((-36)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l - 19. Let p be (2 - 1)*(6*-1)\/1. Let u be d(p). Suppose 5*z - 101 + u = 0. What is the lowest common multiple of z and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31086 is divided by 6190.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/(-8) + (-5)\/(-40)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8 - 24. Let b = 8 - h. Let a be (-5)\/((2 - b)\/(-2)). Solve o - 8 = a*g, o = -4*g + 3 - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 19 = -q, 3455*v - 3452*v + 39 = -4*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (2\/2 - 181). Suppose 0 = -2*v + 5*w - 1 + 15, -4 = -4*v - 2*w. Suppose -g - 356 = -6*r + v*r, -q = -2*r + 5*g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 8*c**2 + 60.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 11. Let j be t(8). Suppose -c + 0*c - 3 = -3*m, -5*m - 5 = -5*c. Let w = m - -1. Solve 2*x - 2 = w*n - j, 1 = x - n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, 2\/9, 2.3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.14 - 142.86. Let y = -143.46 - i. Round y to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*r + l + 10, -4*r - l = 25. Let m be 2*(-1 + 0) - r. Solve 4*f + m*o + 1 = -3, -2*f - 5*o - 16 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c41 + -3?\nAnswer: c3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u + 3*u + 3*u**2 - 3*u + 3 - 3*u.\nAnswer: 3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11111000001110?\nAnswer: -11111000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**2 - g**2 + 579 - 313 - 266. Let m(v) be the first derivative of -10*v**3\/3 - 4. Calculate m(x(y)).\nAnswer: -490*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1480 and 3404.\nAnswer: 34040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:57 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6452789878 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -604*r**3 - 1176 + 2919*r**3 + r + 1176 to the form h*r**3 + l*r**2 + d + f*r and give h.\nAnswer: 2315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -76, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13) + 2 - (1 + sqrt(13) + 1)) + -5*(sqrt(91) + sqrt(91)*-1)\/sqrt(7) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10\/4 - 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:19 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*t - 2522 + 2267 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -186?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2434c7 - -4?\nAnswer: -2434c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*r + 3 = 11, -5*v = 2*r - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 53 = -5*i, i + 5 = 2*w - 5*w. Let t = -5 - i. Suppose -t = -4*h + 2. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 54*v + 2890. Let y(f) = 2*f**2 - 34*f + 1927. What is -5*o(l) + 8*y(l)?\nAnswer: l**2 - 2*l + 966","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/120 - 7*t**5\/60 + 7*t**4\/24 + 5*t**3\/6 - 5*t**2. Does 5 divide w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**2\/2 - 1. Let o be 0 + 4 + -1 - -8. Let v(w) = -w**2 + 11. Let i(s) = -2. Let p(n) = o*i(n) + 2*v(n). Determine g(p(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - 0.44. Let x = 0.12 - 0.02. Let m = o - x. Which is the third biggest value? (a) m (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((24 - 10) + -58).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 32579*o + 32577*o - 6 + 13.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.52 - 0.48. Let j = z + 26.9999998. What is j rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-34)\/136)\/(6\/(-16)). Which is the nearest to u? (a) 8 (b) -2\/11 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 23*u - 11. Let p(t) = 6*t - 4. Let j(v) = v - 1. Suppose -4*s - 2 = 3*r, 0*s = 2*r + 2*s. Let l(d) = r*p(d) - 4*j(d). What is -17*l(y) + 6*w(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = -5. Solve 27 = -5*p + d*p + 3*s, -3*p - 5*s = -13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-240)\/(-32))\/(3\/4). Suppose -r*n - 18 = -118. Solve -5*o + n = -0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4 - 4*u**3 + 4*u**2 + 10. Solve h(j) = 0 for j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2961 - 2917. Solve -44*m = j - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 161, 148, 121, 74, 1, -104?\n\"Answer: -x**3 - x**2 - 3*x + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -0.1, -4, 5.\nAnswer: -4, -0.13, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/5))**5\/(t**(2\/7))**(-42))**(1\/3) assuming t is positive.\nAnswer: t**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y - 234. What is g(-29)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -8929997931.\nAnswer: -8929997930.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i + 3*i + 4 - 2 - 2*i. Let m(h) = 28*h + 5. Let n(j) = 3*m(j) - 8*x(j). What is the tens digit of n(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:00 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -t - 72. Let y(h) = 6*h**3 + 4*h**2 - 4*h + 2. What is the remainder when y(2) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6423649t in micrograms?\nAnswer: 642364900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -132133*p - 199. Let a be h(-21). Suppose -1524594 = -3*y + 4*y. Let d = y + a. Round d to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255110982, 510221963, 765332944, 1020443925, 1275554906, 1530665887?\nAnswer: 1785776868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffhk when four letters picked without replacement from {h: 1, k: 1, f: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 197 = 3*t, -138 = -4*t + 2*t - h. Suppose -2*b = -8, 0 = -4*f + 5*b - b + 1052. Calculate the remainder when f is divided by t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 180 + 0*s**2 - 7*s + s**2 - 579.\nAnswer: s**2 - 7*s - 759","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4905, 4910, 4917, 4926, 4937, 4950, 4965?\n\"Answer: j**2 + 2*j + 4902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (2 + (-6 - (1 - -2))). Suppose -3*j + 349 = 5*f, -112 - 169 = -g*f - 3*j. What is the highest common divisor of 102 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -52, -3, -0.06, -2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*s**3 + 12*s**3 - 4*s**3)*(-2*s**2 - 3*s**2 + 4*s**2) + s**5 - 4*s**5 + 2*s**5 - 9*s - 12*s**5 + 7*s + 4*s + 2*s**3.\nAnswer: 2*s**5 + 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*k - 16 = -71, -4*k + 8 = 0. Solve -25*w = -20*w + v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -191, -1\/4, -0.01, 47, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - o - 43 = 0, -12*o - 47 = -3*p - 7*o. Suppose 0 = -23*j + p*j - 18. Sort -0.8, j, 0.2, -0.2 in decreasing order.\nAnswer: 0.2, -0.2, -0.8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2262363 divided by 754121\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 76 (b) -0.5 (c) 1\/6 (d) 1.001 (e) 5\/3 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -948*j**3 + j + 946*j**3 + 4*j**2 + 2*j as b + i*j**2 + p*j + k*j**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 3*q - q)*(-4*q + 5*q - 3*q)*(-1 - 15 - 26).\nAnswer: -336*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9*(-11 - -5). Let p = h - -4. Let r be ((-36)\/(-27))\/(p\/33). What is r rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117766 by 53.\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 507 - 290. What is the hundreds digit of ((-6)\/(-2) - 1) + d + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 10. Let m be -1 + 1 - (-1)\/9. Suppose 5*z - 3*u = z - 8, -5*z + 4*u = 11. Which is the closest to z? (a) -0.1 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*u - 4*t, 302*u + 15 = 304*u + 3*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 5ea39?\nAnswer: 5ea39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 7, -4\/3, 2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 + -219. Let x = l - -118. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - y - 8, -5*b + 20 = y. Let c(x) = x - 11. Let p be c(-13). Let m = p + 27. Put -3, -4, m, b in descending order.\nAnswer: b, m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 4*l**2 - 14*l + 18. Give d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 3:48 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-6 - (-5 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2 + 3*t + 1 + 36 - 4*t. Let f be n(0). Suppose 0 = -4*r + 12, -f = -a - 2*a - r. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -123*n. Let y(m) = m - 152. What is w(y(g))?\nAnswer: -123*g + 18696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 92067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1198*j*v**2 - 3*j*v + 52*j - 226*v**2 + 10335*v wrt j.\nAnswer: 1198*v**2 - 3*v + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let n(h) be the first derivative of 2 + 1\/5*h**5 + 0*h**k + 1\/4*h**4 + 0*h - 2\/3*h**3. Suppose n(o) = 0. Calculate o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let u = 14365.74503413 + -14287.745033. Let i = u - 78. Round i to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 6:29 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 + 5*f**4 - 11*f**4)*(-3 + 22*f - 1 + 4).\nAnswer: -176*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqwtqmqq. Give prob of picking 1 q and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -129\nAnswer: -30\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11151 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/10 + (-10)\/(-4). Suppose c = 3*o + 6*o + 27. Let g(x) = 5*x + 2. Let n(z) = -6*z - 3. Determine o*n(a) - 4*g(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*u - 92*u - 30*u - 45*u in the form h + j*u and give j.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, and 1 y when three letters picked without replacement from spsppsysklklpkppkles.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.651 + -4\nAnswer: -4.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.7, 2, -1\/7 in decreasing order.\nAnswer: 2, 0.3, -1\/7, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or 74\/17?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 1753?\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724 (base 10) to base 14.\nAnswer: 39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6322339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 702280\/32 + (-1)\/16*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + sqrt(1100) + 1 + 3 + sqrt(1100) + sqrt(1100) + sqrt(1100))**2)*-5.\nAnswer: 1950*sqrt(11) + 137580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14cb4 + -183?\nAnswer: -15167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (460*x - 214 - 572*x + 82*x)*(-x**3 + 19*x**2 - 18*x**2 - x**3) to the form s + o*x + z*x**4 + q*x**3 + c*x**2 and give c.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 40*q + 178. Let w be k(-44). Solve 4*d - 2*g + 0*g = -12, 4*g = -w*d + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 1\/3*n**3 + 7\/2*n**2 - 20*n + 0. Let z(c) = c + 4. Let m be (-24)\/5 + 1\/(-5). Calculate m*z(w) + 3*f(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j + 1. Let r = 701 - 376. Let s = r - 331. Determine i(s).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0.5, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -495 from -436399772942.\nAnswer: -436399772447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*h - m - 11, 0 = 5*m - m + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 4*a + 5. Let m be d(-5). Solve -7*o + 4*o - 4*c + 6 = m, 0 = 3*o + c + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -533, -2141, -4821, -8573, -13397, -19293?\n\"Answer: -536*d**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((2\/(-1))\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/6 + j**3\/3 - j**2 - 5*j. Let z(x) be the first derivative of o(x). What is the first derivative of z(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - 101110110010010?\nAnswer: -101110101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -49. Does 13 divide b\/(-7) - ((-1940)\/28 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1.6, -372242\/3 in descending order.\nAnswer: -1.6, -2, -5, -372242\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.740309 decades?\nAnswer: 1048.83708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, 2\/37, 0.4, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000263089809 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = 4*t + 5*x, -8*t - 183881*x + 183877*x = 256 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.099 - -2.901. Let r = -0.2 + 1.2. What is the nearest to 0.1 in -0.4, r, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1300))**2 + -4 + -4 + (-2 + -1 + sqrt(1300))**2 + 1 + (-1 + ((-1 + sqrt(1300) - sqrt(1300)) + -2 - (sqrt(1300)*-3*3 - sqrt(1300))))**2.\nAnswer: -880*sqrt(13) + 132619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3018400 and 33600?\nAnswer: 18110400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-8\/13) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111 + -11110100?\nAnswer: -100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 143*h - 2539. Calculate the lowest common multiple of 229 and s(18).\nAnswer: 8015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2055 - 254243?\nAnswer: -252144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 9*g - 7*g - 18*g - 6*g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**4\/6 + 8*n**2. Let w(i) be the third derivative of 0 + 0*i + i**2 + 1\/24*i**4 + 0*i**3. Calculate w(l(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -a, a - 1 + 0 = 0. Suppose 0 = -p*b + 24 - 3. Let c(g) = 3*g - 8. Calculate c(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -8, -16, -40674?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z + 147. What is the hundreds digit of k(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*sqrt(19) - (sqrt(57)\/sqrt(3) + -4).\nAnswer: -19*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516801 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 771*v - 761*v - 60. Solve -5*j - 9 - v = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624559, -1249118, -1873677?\nAnswer: -2498236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1010012?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 19 + 55. Let q be (-375)\/(-2)*(-480)\/p. What is q rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 35995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -l + 11, -19 = -4*l - 2*h + 7. Determine d, given that 8*d**2 + 2*d**3 - 37*d + 50*d - d**3 + l = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/24*(3 + -1 + (-21)\/(-3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3*56\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 8. Suppose 1 = r, -3*c + 4*r + 26 = -0. Suppose l - 4 = c. Calculate the least common multiple of o(6) and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p**2 + 2*p - 238. Suppose 3*v = 6*v. Let f be j(v). Let k = f - -337. What is the greatest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*h - 3. Let a = 21 + -11. Sort -2, h, a in decreasing order.\nAnswer: a, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109072.\nAnswer: 2, 69317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29816819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88123.94cm in nanometers?\nAnswer: 881239400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 102. Does 43 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3) + 4)*-5*-4)**2 - ((sqrt(117) - (sqrt(117) - -2*sqrt(117)))\/sqrt(9) + 3 + -1)**2.\nAnswer: 11544 + 3208*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - -3) + -3 - 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 - -2.18.\nAnswer: -21.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 1, w: 3, a: 2, e: 1, l: 10}. Give prob of sequence lwr.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**2 + 6*k**3 + 33*k**2 - 19*k**2)*(k + 4*k - 4*k) to h*k**2 + x + b*k**3 + g*k + z*k**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 3*y**2 - y - 2. Let t(o) = o**2. Let j(v) = -s(v) - 6*t(v). Let w be j(3). Solve -2*b = -w - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/9)\/t)**(2\/103) assuming t is positive.\nAnswer: t**(-16\/927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24077284)\/126 - -16)\/((-2)\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6186 < 6187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.652 + -4.652. What is the nearest to v in -0.2, 2, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 + 1. Let b = -182.000374 + h. Round b to five dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j - 5. Let g be x(-4). Suppose -r + u = 1, -4*u - 9 = -2*r - 21. Suppose r*y - 79 - 21 = 0. Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**3 + 355*f**2 + 10*f + 3. Let c(l) = -36*l**3 + 2486*l**2 + 74*l + 22. Give 2*c(h) - 15*k(h).\nAnswer: 3*h**3 - 353*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**2\/2 + 11*d - 6. Let u be f(9). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Let f(u) = 1117 - 357*u**2 + 1079 - 2196 + 11*u + 2*u. What is f(s(p))?\nAnswer: -1428*p**2 + 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8834*l**3*v + 5*l**3 - 8*l**2*v + 172*l**2 + 7*l*v + 8*l - 237 wrt v.\nAnswer: -8834*l**3 - 8*l**2 + 7*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 21 = 14. Sort -4, q, 4, -2 in decreasing order.\nAnswer: 4, q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 342*x - 336*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338192218?\nAnswer: 2, 7, 13, 179, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**2 + 42*m + 144 = 0.\nAnswer: -8, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1799492\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703 divided by -19.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 425387527 = 153*z + 74889896. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from ziv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 49 = -3*l - 2*y, -2*l - 2*y = -34. Suppose -j = 2*j + l. Let u = 14 + j. What is the highest common divisor of u and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -3*(1*sqrt(5))**2 - (sqrt(20) + sqrt(500) + sqrt(20))\/sqrt(4)) + (sqrt(45)\/((sqrt(81)\/sqrt(9) - sqrt(9)) + sqrt(9)) + 0)**2.\nAnswer: -6*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + sqrt(45)\/(sqrt(9)*3) + -5*sqrt(20))*6.\nAnswer: -46*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h + 6*h - 230*h**3)*(-8 + 5*h + 8) to g*h**4 + d*h + a*h**3 + y + s*h**2 and give g.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 35\/(-15))*3. Suppose 5*z = 3*z + g. Solve -y + 4*l + 2 = -3*y, -y + z*l - 7 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-468)\/9672 + (2 - 2))\/((-1)\/2)\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121776237 divided by 27.\nAnswer: 4510231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -5*w + 19. Calculate the remainder when w is divided by (-2)\/(-9) + 230\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 7*z - 6. Let k be 64\/(-11) - (-8)\/(-44). Let j be w(k). Solve 4*i + 3*b + j + 7 = 0, -5*b - 21 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 > 10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000110110 (base 2) to base 6.\nAnswer: -11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.072626 in 1\/3, -1, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -438776 and 4.1.\nAnswer: -438771.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {k: 1, f: 2, v: 1, d: 1, r: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = a. Let q be ((-6)\/(-4))\/(a\/10). Let m = 15 + q. Solve -l - 4*l + 2*i + 28 = m, -3*l - i = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25815 * 1716.\nAnswer: 44298540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2497069291 to the nearest integer?\nAnswer: 49971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aatg when four letters picked without replacement from {s: 3, a: 6, g: 2, k: 7, t: 1}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (1 - 0)*48 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/5 and 29\/2106.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3044, -6937, -13426, -22511, -34192?\nAnswer: -48469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(20)\/(-2*sqrt(5))))\/(sqrt(5) + (sqrt(90)\/sqrt(3))\/sqrt(6) - sqrt(5) - (sqrt(495)\/sqrt(11) - sqrt(5))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 4*y - 4. Let g(c) = -c**3 + c. What is 3*g(k) - p(k)?\nAnswer: -2*k**3 - k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133693273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 16*x**2 + 16*x + 83. Let c be u(17). Calculate the greatest common factor of 1254 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3056.1 - -3049. Sort -0.2, 4, u in increasing order.\nAnswer: u, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -945122, 1\/3, -3?\nAnswer: -945122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3133.8 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 1. Let g(u) = -4*u + 5. Calculate 6*c(j) + g(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:33 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -224479560*m + 2440446 wrt m?\nAnswer: -224479560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*x + 244936 + 64704. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34661, -34662, -34663, -34664, -34665, -34666?\nAnswer: -34667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36794 in -3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-162)\/8)\/(9\/(-24)). Let i = -12 + 18. What is the greatest common divisor of i and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 0.13 (c) -5 (d) -6\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/143378 and 137\/75906.\nAnswer: 1290402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2011746*b**2*f**3 - 1229879*b**2 - 10*b*f**3 - 15 with respect to f.\nAnswer: 6035238*b**2*f**2 - 30*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**3 - 12*i**3 - 9*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 357, 296, 235, 174, 113?\n\"Answer: -61*q + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 390*r - 4*r**2 - 390*r. Let y(g) = -20*g. Calculate y(l(v)).\nAnswer: 80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*sqrt(80))**2 + sqrt(35)\/(-6*-1*sqrt(7)))*5.\nAnswer: -2395*sqrt(5)\/6 + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - f + 58000. Let t be i(0). Round t to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -40*y**2 + 90. Let b = 7 - -3. Let d(t) = 13*t**2 - 30. Suppose 25*h - 58 = 17. Let m(z) = b*d(z) + h*x(z). Find the first derivative of m(f) wrt f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/((-14)\/(-70)). Calculate the remainder when (f\/(-4))\/((-7)\/1162) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 - (-9 - (-12 + 6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 1104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/99 or 0?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b**5\/15 + 11708602*b**4\/15 - 8363248*b**3\/15 - 26762488*b**2\/15 - 2230208*b\/5 = 0 for b.\nAnswer: -1, -2\/7, 0, 2, 836328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88633 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -85.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 8:40 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 795 - 794.75. What is the closest to -1 in 0, -0.4, p, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) + -4 - sqrt(1872))*6)**2.\nAnswer: -576*sqrt(13) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13028268*l**6 + 4085390*l**2 wrt l?\nAnswer: 1563392160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*x - 36 = 0, 0 = -2*u + 25*x - 21*x. Let z(j) = -28 + 5 + 44*j**2 + 15 + u. Let g(v) = -1 - v + 1. Give z(g(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-124)\/16)*-12. Suppose -4*i - 172 - 39 = -3*l, l - t = 4*i. Suppose -16*v = 28*v - 748. What is the remainder when l is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -35, -35, -17, 25, 97?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22548287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*t + 31143, 4*t - 7 = 1. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12203243 + -4?\nAnswer: -12203250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 208 and -0.4?\nAnswer: -83.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5202243717?\nAnswer: 3, 11, 367, 429547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-252)\/1134 + (1 - 1901\/(-9)). Let h = z + -192. Calculate the remainder when 158 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -33 + 35 + k + 2*k. Let y(i) = i. Determine u(w) - 4*y(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 + 123. Let p(u) = 4*u + 3. What is p(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32671715 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11989440 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.954 to one decimal place.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102070?\nAnswer: 2, 5, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-6))\/(4\/96*-1). Let h be d\/(-12)*(-18)\/8. Is -4 + 26 - h\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 3347599.9?\nAnswer: -1004279.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**7\/210 + 225*u**6\/8 - 4021*u**5\/60 - 2*u**2 - 90*u. Find the third derivative of p(y) wrt y.\nAnswer: 24*y + 20250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/270)\/((-4)\/12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71112 + 7060*f - 7060*f - 99*f**2 + 71112.\nAnswer: -99*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) -69 (c) 1\/2 (d) -0.1 (e) -0.3 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 - -223. Let k = -59 + u. Calculate the highest common divisor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**3*v**2 + 194796*s**3*v + v**2 + 52*v + 259 wrt s?\nAnswer: -3*s**2*v**2 + 584388*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**6*a*a)**(-2\/107) assuming a is positive.\nAnswer: a**(6\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(4)*-1))\/(sqrt(360)*1).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -472 - 2*s - 3*s**3 + 471 + 25*s**3 - 2*s**2 - 23*s**3 + s**2. Let l be 0 - -1 - -1 - 0. Let b(x) = -x**2 - x - 1. What is l*n(p) - 2*b(p)?\nAnswer: -2*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 6532*q\/9 + 181328\/9.\nAnswer: 2*(q + 28)*(q + 3238)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**8\/26880 - x**7\/3360 + x**6\/720 + 5*x**4\/4 + 43*x. Let d(o) be the third derivative of f(o). Factor d(u).\nAnswer: -u*(u - 1)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/(k\/((k*k**(4\/9)*k*k)\/k)))\/(k**(-6\/11)\/(k*(k\/(k**(-9\/7)\/k))\/k*k)) assuming k is positive.\nAnswer: k**(4349\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 2:41 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -684526871 + 57.\nAnswer: -684526814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99*(-142)\/27335*7.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Suppose x*k = k - 4. Which is smaller: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6598 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2. Let n(o) be the second derivative of -o**4\/4 - 5*o**2 + o + 21. Calculate n(j(v)).\nAnswer: -75*v**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 4*z**3 - 5*z**2 - 2 + 8*z**2 to x*z**3 + h*z + j + v*z**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l - 30. Let z = -3 - l. Let m(t) = -t**2 + 13*t - 12. Let w be m(12). Solve a + a - 6 = 3*q, w = q + a + z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1049 - -1034.02. Let t = v + 15. Let s = -3.02 + t. Which is the third biggest value? (a) -2\/5 (b) s (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -389c (base 15) to base 9.\nAnswer: -17503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 72\/16)\/(7\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1513*k**4\/12 + 4*k**3\/3 - 357*k**2\/2 - 2*k + 2779. What is the second derivative of y(a) wrt a?\nAnswer: -3026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/12 + (-60)\/16. Suppose -3*v = -5*v - 6, -v + 3 = 3*h. Sort z, h, 4.\nAnswer: z, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 2*l - 3. Let z = -1 + 1. Let j = z - 0. Let o be (5 + -2)\/(1 - j). Calculate c(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.75 - -18.73. Let i = 0.01 - -0.0086. Let c = t + i. Round c to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 15*q - 11. Determine j(11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 104, 207, 310, 413?\n\"Answer: 103*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.032856 and -1.\nAnswer: -0.967144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34647677 divided by 1?\nAnswer: -34647677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2) - 9\/15) + 1404\/(-135).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -154?\nAnswer: -41\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 2, 0 = -5*t - f + 21. Suppose 0 = -d + 3*m + 2*m - 18, -5*m + 28 = t*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -52*x + 56*x - o, -3*x + 2*o - 30 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12897 is divided by 187?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 695 + -1265. What is c rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*1*5\/15*-104. Suppose -4*k + q + 136 = 0. What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5311.8 times 6.02?\nAnswer: 31977.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -653 + 653. Solve -3*z = -k*z + 6, 5*z - 10 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 108, 332, 696, 1194, 1820?\n\"Answer: -j**3 + 76*j**2 + 3*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 + 1.93. Let a = d + -2. Let y = -0.2 - a. What is the third biggest value in -0.3, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1666\/21)\/(-14)*-3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1966 + -1094. Suppose -4*r - 21*p = -17*p - d, 3*r = 5*p + 646. What are the prime factors of r?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -49601351\nAnswer: 49601351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0345910632 less than 23?\nAnswer: 23.0345910632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01808841 rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -1. Suppose -130 = -11*k + k. Let h(f) = 2*f**2 - 25*f - 8. Let m be h(k). Is m greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 25\/2, -5, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97.5 + -98. Sort -2, 7\/2, k, -1.\nAnswer: -2, -1, k, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 167628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -18. Let n = j - 29. Solve n = -5*l - 10, 0*g + 5*l = g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -95 + 94 - 102*s + 211*s - 108*s. Let j(y) = 8*y - 4. Determine -j(b) + 5*l(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 39936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*u**2 + 664*u**3 - 328*u**3 - 334*u**3 - 3*u to a*u**2 + g + j*u + b*u**3 and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-606)\/1111)\/((-16)\/(-22))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686 (base 11) in base 12?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 16*i**3 - 11*i**2 + 11*i - 11. Let n(g) = -3*g**3 + 2*g**2 - 2*g + 2. Suppose 0 = -28*b + 55 + 253. What is b*n(k) + 2*a(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*d + 225*d - 108*d - 46. Solve 3\/4*u + 3\/4*u**d + 1\/4 + 1\/4*u**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -584, 3.8, 1\/13, 0?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 577 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g)\/g**(-6)*g\/(g*g\/g**3)*(g**2\/g*g*g)\/g*((g*(g*g\/(g**(1\/4)*g))\/g*g)**16)**(-26) assuming g is positive.\nAnswer: g**(-712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2\/7 - 415648*a\/7 + 21595407488\/7 = 0?\nAnswer: 103912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 1\/4*u**4 + 6*u + 3*u**2 + 5\/3*u**3 + 1. Let p be (0 - 2 - 0) + -2. Calculate c(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/40 and -49\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 18*w**2 + 7*w - 6. Let b be c(1). Suppose -b*x = -9*x - 200. Solve -5*v + 5*h - 13 = 17, 4*h = x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 25*x = -20*x + 926, -x + 1819 = -2*i. Let q = i + 913. Factor 7\/6*k - 1\/6*k**q - 1.\nAnswer: -(k - 6)*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 4\/355 (b) -2\/11 (c) 0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y - 45. Let b(h) = -6*h + 15. Is b(y) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-202)\/(-7))\/((-9048)\/15834)*-2\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203795?\nAnswer: 5, 11, 17, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 588, 4, 3, -9.\nAnswer: -10, -9, 3, 4, 588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*o + 2, 4*o + 8 = -118*c + 114*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441004 divided by 62.\nAnswer: 220502\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293 + -36. Let g = w - 256.93568. Let b = -0.065 + g. Round b to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -16. Let d = w - 4. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -3*v - 3*u, -20475*v + 20474*v = 8*u - 6 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*s - 22*s + s)*(-4 + 0 + 3) as x + t*s and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/19, 1, -7.2, -87, 0.2.\nAnswer: -87, -7.2, 0.2, 4\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssrssssssssrssssss. Give prob of sequence srr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -52?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 8*t + 34)*(6*t - 6*t + 5*t**2)*(2*t - 2 - t + 0).\nAnswer: 40*t**4 - 80*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**18)**(3\/4)*g*g**(-34)*g**(2\/39) assuming g is positive.\nAnswer: g**(-1517\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422773 (base 8) to base 4.\nAnswer: -202113323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 5:13 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/20894 and -85\/29804.\nAnswer: 311362388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/89)*a*a*a**(-10)*(a\/a**23)\/(a*a*a**(1\/4)*a) assuming a is positive.\nAnswer: a**(-11845\/356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 1, s: 1}. What is prob of picking 1 y and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -89*x + 644 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 415629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1010186 and 6?\nAnswer: 3030558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in minutes?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 169.2 and -0.1225 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:13 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 + (5 - 9) + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91895\/52 + -1767. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1624 divided by 14.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33238 or 33228?\nAnswer: 33238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 299 = -q, 51 + 147 = 2*w - 2*q. Suppose -m = -5*m + w. What is the remainder when m is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 192\/7 + 12\/(-28)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let q be (-16)\/z*10\/8. Suppose -8 = 3*j - l, -j - l - q = 3*l. Is -2 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91*(-1)\/10 - -9) + 204\/40.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 364 and 18.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2 + 7183356*d + 79017400 = 0. What is d?\nAnswer: -11, 1795850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/6 - 9*i. Let m(y) = 6*y**2 + 4*y - 4. Let g(w) = 7*w**2 + 5*w - 5. Let b(j) = -4*g(j) + 5*m(j). Determine n(b(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 186e58b (base 15) to base 13\nAnswer: 38cb133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -25\/6*i**3 + 8\/5*i**5 + 0 - 23*i + 0*i**4 + 0*i**2. What is the second derivative of t(n) wrt n?\nAnswer: 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 + 11 = 0. Suppose -4*g + 234 - 42 = 0. Suppose -x*w + 7*w = -g. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*p**2 - 5808333908*p + 1452083476.\nAnswer: 4*(p - 363020869)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3610823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2495 - -2725. What is the greatest common divisor of 345 and w?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -36*l - 413. Calculate the remainder when 549 is divided by h(-13).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -189.73 + 183. What is j rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -13\/5060?\nAnswer: -13\/5060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*a - 101 = 0, 5*q = -5*a + 2*a - 449. Let i be 14\/q + 6\/39. What is b in 2\/5*b**2 - 4\/5*b + i = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/792 and 101\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*a**2 - 153*a**2 + 2*a - 4*a - 125.\nAnswer: -a**2 - 2*a - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 7*b**2 - 8*b - 1. Suppose -57*i + 44*i + 390 = 0. What is the smallest common multiple of i and w(-7)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**4\/2 + 4*t**3\/3 + t**2 + 5*t - 3. Let d(r) = 13*r**2 + 18*r + 5. Let s(z) = -2*d(z) + 5*g(z). Factor s(x).\nAnswer: 4*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1137, 2273, 3409?\n\"Answer: 1136*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 224, 372, 646, 1088, 1740, 2644, 3842?\nAnswer: 5376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/6)\/(-1)*-1)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36891 is divided by 150?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3) + 1\/((-3)\/(-9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70824590 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 602 and 1379354?\nAnswer: 9655478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1106 - 1047. Sort -5, v, -3.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/40 - (1 + -1). What is the closest to -1 in -2\/7, 3, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31 and -0.165522085.\nAnswer: 30.834477915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*y - 1545, 2*y - 615 = -2*c + 5*y. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s - 11. Determine k(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0, -1\/4305?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 8*k**2 + 8*k**2.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5865*x**2 + 102669*x**2 + 17433*x**2.\nAnswer: 125967*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 245049175*z**6 - 304760*z**2 + 41*z + 1 wrt z?\nAnswer: 29405901000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + 2*sqrt(25)\/sqrt(5)) - (-5 + (sqrt(55)\/(sqrt(11)*1) + sqrt(5))*4).\nAnswer: -10*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 5*r, -3*k + 0 + 11 = 2*r. Solve 2*s - k*s - 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 19*h - 1. Suppose 8*c + 0*c + 8 = 0. What is u(c)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {j: 1, f: 3, h: 1, r: 1, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j + 15 = 0. Solve j*n + 5*i + 27 = 0, -n + 0 = -4*i - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 276703 or 276697?\nAnswer: 276697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - 1.97. Let m = s + 1.7. What is the second smallest value in 2\/7, m, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 - (-3 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 5. Let t be g(0). Suppose t*f + 4*p + 2 = -18, -15 = -2*f + 3*p. Suppose f = 5*r - 9 - 6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13305 + 13305.037357. Round t to four decimal places.\nAnswer: 0.0374","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let f(c) = 30*c**2 - 6*c**2 - 12*c**2. Calculate f(g(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.8. Let l = 0.19 + -4.19. Let a = -0.0955 - -0.0055. What is the nearest to a in g, l, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 1 - 3 + s. Let f be j(-3). Suppose -a - 2*r + 3 = 0, 5*a + 2 = r - 5. Is a >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -930*z + 3722. What is b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*i - 22, 3*i = 3*n + i + 34. Let m(v) = v + 30. Let q be m(n). Is ((-9)\/((-180)\/(-5048)))\/((-8)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*u - 80 = 0, -34 = 2*v + u - 8. Which is the second smallest value? (a) 1\/3 (b) 0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202.8 + -203.3. What is the smallest value in 4, -7.3, v?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (100\/(-44) - -3)*(-220)\/(-40). Solve -5*w = -3*f - 7, -b*w - 115 = 5*f - 128 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cd13ad (base 14) to base 4.\nAnswer: -122202123231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.086 + 4.014. Let w = h - 3.1. Which is the closest to -0.3? (a) -3\/4 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2187 (base 13) in base 15?\nAnswer: -15b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59, 163, 277, 407, 559?\n\"Answer: f**3 - f**2 + 100*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/10 and -19\/1708.\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, v: 2, q: 1, i: 2, c: 1, d: 1}. What is prob of picking 1 v, 1 c, and 2 r?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-1600)*-20*(-24)\/57\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27216, 27217, 27218, 27219?\n\"Answer: g + 27215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 1175, 4494, 11063, 21992?\nAnswer: 38391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*b = -1654*b - 667*b + 32340 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.3 + 29.7. Which is the closest to -1\/4? (a) -1 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1248274 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -476 - -482. Let t be ((-3)\/h)\/((-6)\/(-84)). Which is smaller: -32\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 11 = 19*l - 272. What is the third smallest value in l, 2\/11, 0, -0.2, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 78 and 80 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 66*50*(-37)\/(-5550)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (4 - -1 - -4) + -51 - -18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395*m + 72 = 399*m. What is the second derivative of -m + d - 67*d**2 - 27*d**2 - 3*d + d wrt d?\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*s**2 + 954*s**4 + 325*s + 70*s + 78*s**2 + 62*s**2 wrt s.\nAnswer: 22896*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 10. Let y = -3 - j. Let h be 75\/10*(-2)\/y. Which is the smallest value? (a) h (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -0.3 (c) 1 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092056 to the power of 1\/2, to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s. Let y(g) = -9748*g. What is c(y(b))?\nAnswer: 58488*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-8) + 23\/(-92). Let y be (j + -2)*(-5)\/5. Solve y*h + 8 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v + 5*q + 880, 3*q - 912 = 5*v. Is 27 a factor of v*-6*((-6)\/(-5))\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15134041 divided by -12?\nAnswer: -15134041\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1803 + 1806. Let d be (51\/9)\/((-1)\/(-3)). Solve x = -2*g + 6, 3*x + 2*g = o*g - d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) - (-1436)\/(-16). Let s be (-52)\/(-30) - (-36)\/k. Which is the nearest to -1? (a) -6\/11 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -5513145.\nAnswer: -5513145.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*m = 31, 81 = -0*b + 2*b + 5*m. Is b\/42 - 1190\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 6*f**2 + 11*f + 6. Let z be c(-3). Solve -3*i + 18 = -4*k - 5, -4*i - k + 18 = z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 16, y: 2}. What is prob of picking 4 j?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1)*(-6)\/(-4)*72\/90\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**(-15)\/((((p**(-2\/5)*p)\/p*p*p*p*p)\/p)\/(p**(1\/5)*p))*((p\/p**(-3))\/(p\/(p*p*p*p**(-5\/2))))**(19\/5) assuming p is positive.\nAnswer: p**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3 - 276133*s**2 + 1656825*s - 2485251 = 0. What is s?\nAnswer: -276139, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -6940, 338, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-5))\/((-1)\/5). Let c be 0 + 5\/(b - 3). Let d be 2\/c + 96\/15. Calculate the greatest common factor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160*h**2*k*m**2 - 2*h**2*k*m + 2*h**2*k - h*k*m**2 - 4*h*m**2 - 30*k*m**2 wrt h.\nAnswer: -320*k*m**2 - 4*k*m + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -5, 2\/39, -2\/3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -571.8 - -571. Round z to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q**2 + 2*q)*(-53 + 150*q + 53).\nAnswer: -150*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(1\/8)*u)*u**(-1\/10)*u**(2\/3)*u\/(u\/(u**(-1\/17)\/u)) assuming u is positive.\nAnswer: u**(-3299\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16956, -16966, -16980, -16998, -17020, -17046, -17076?\nAnswer: -17110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - y**2 - 1. Let c(a) = 6*a**3 + 10*a**2 - 6*a + 1. Let j(l) = -c(l) - 5*f(l). Let z be j(-6). Let v be (-3 + z)*(0 - 0). Round v to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -5. Suppose 5*m + u + 5 = -u, 4*u = 3*m + n. Put 0.3, -4\/7, m in decreasing order.\nAnswer: 0.3, -4\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -378 - -378. Let c(a) be the second derivative of -1\/36*a**4 + x - 4*a + 1\/3*a**2 + 1\/18*a**3. Suppose c(r) = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - r**2 - 38 + 80*r**3 - 23*r**3 - 53*r**3 in the form q*r + u + t*r**2 + m*r**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*r - 1014476 + 1014530, -2*p = 4*r + 62 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10759246 * -5.\nAnswer: 53796230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*q**2 + 414 - 414.\nAnswer: 383*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/81627 and -81\/77740?\nAnswer: 1632540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k\/(k\/(k\/k**(-1\/22))*k)*((k\/(k**0*k))\/k)\/(k*k**5))**(-25) assuming k is positive.\nAnswer: k**(8775\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 5802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*b + 5, 0*b = 2*q + 5*b + 5. Suppose 7*m - 4*m - 9 = q. Let a(d) = -d - 3. Let h be a(m). Sort 0, -4, h, 3 in descending order.\nAnswer: 3, 0, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 13 - 13)*(15 + 5*q - 15) in the form s*q + d and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 207948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 52 = -22*k, 44*k = 2*x + 49*k + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/30 + (60\/24 - (3 + 1)). What is the nearest to x in 1.3, 5\/3, -3, 4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5191 is divided by 897?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01249 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -7*f + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77\/2 - -41. What is the second biggest value in 0.4, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/20 + 3177\/(-5110). Let s = o + -1\/146. Let q(g) = g**2 + 2*g - 2. Let x be q(1). Are s and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -33, -101, -197, -315?\n\"Answer: v**3 - 23*v**2 + 28*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(539)*1*-1)**2.\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g + 2*g**3 - 3308*g**4 + 3315*g**4 - 9 - 2*g**2 + 1 as a*g**3 + n*g**2 + q + v*g**4 + u*g and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 602\/15 + 1811\/30. Let 24*i + p*i**2 + 279\/2*i**4 + 355\/2*i**3 + 2 + 81\/2*i**5 = 0. What is i?\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59202?\nAnswer: 2, 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/((-2)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 7. Let s(u) = -u**2 + u - 1. Let b(o) = -2*s(o) + x(o). Let a(g) = 2*g**2 - 4. Determine -4*a(f) + 3*b(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5 + 114*r**4 - 1726*r**3 + 6462*r**2 - 8212*r + 3360 = 0. What is r?\nAnswer: -70, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/2)\/s)\/(s**(-1)\/s))**(-7\/9)*(s*(s\/s**(-1))\/s)**(-41)*((s*s**(-2\/5))\/s)**(-14\/5) assuming s is positive.\nAnswer: s**(-37271\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*d**3 - 27*d**2 + 27*d**2 - 2*d - 74*d**3.\nAnswer: 17*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o + 3*t + 3, 0 = 5*o + 2*t + 53. Let s(b) = b**2 - 10*b - 22. What is the tens digit of s(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o + 3*x + 447, -5*x = 15. What are the prime factors of (0 - o)*(-22)\/(-44)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 18889860 + 18889374 = 0 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*q = 1050, -127*l + 8561 = -119*l - q. What is the highest common divisor of l and 1386?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 2, o: 2, b: 1, u: 1}. Give prob of sequence jbu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 + 0)*(3*o**2 + 8*o**2 - 3*o**2) to the form t + p*o + n*o**2 and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.1 - -6. Let v be (-2)\/2 + -2 + 3. Which is the nearest to x? (a) 0.3 (b) v (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 2*k**2 - 3*k + 6. Give y(-6).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u. Let v(y) = 13. Let w(s) = -s + 6. Let f(z) = 6*v(z) - 13*w(z). Give f(b(o)).\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00626908237 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 - (6\/1)\/3. Suppose -n = -3*i - 0*i. Let s = i - -1. Calculate the greatest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.514364 kilograms?\nAnswer: 514.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/5708?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, v: 1}. What is prob of picking 1 u and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4834 = 12*x - 9062. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(306)\/sqrt(144)*-5)\/(((sqrt(242)*1)\/sqrt(11))\/(-1*sqrt(1100))).\nAnswer: -125*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-50))\/((-41)\/82))\/(9\/30).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009782329403 rounded to 5 dps?\nAnswer: 0.00978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 877\nAnswer: -263.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 3*x - 5. Let f be t(0). Is f greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 0 + 0 + 9*f. Let w(a) be the third derivative of a**5\/4 - 115*a**2 - a - 5. Calculate w(t(s)).\nAnswer: 1215*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/7 + 244*z**2\/7 - 3840*z\/7 + 3600\/7.\nAnswer: -4*(z - 30)**2*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10\/((h*h**(-6\/17)\/h)\/h))\/(h*h**12)**(-3\/22) assuming h is positive.\nAnswer: h**(4909\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161\/52 > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/29 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 - -167. What is the nearest to 1\/10 in y, -1\/2, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15090 + -15102. Which is smaller: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-4))\/(810\/(-720))*180\/25\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -409, -408, -407?\n\"Answer: c - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-6)*(-15)\/200*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = 5*g. Let o(h) = -2*h - 7. Calculate the smallest common multiple of g and o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a week in hours?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3028884 is divided by 252399?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57*(-3672)\/21546)\/(6\/(-21)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/((u**(2\/9)\/u*u*u)\/u))**(-1\/78)\/(u**(3\/10)\/(u**(-1\/4)\/u*u*u))**(-28\/5) assuming u is positive.\nAnswer: u**(-22088\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + ((-266)\/63 + 6)*-1. Let t = 0.7 - 3.7. Which is the second smallest value? (a) -0.3 (b) 0.2 (c) t (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15231 + -15621.42. Let o = 710 - 327. Let j = o + i. Round j to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -556*u - 572*u + 1708*u - 562 - 563*u to n*u + q and give q.\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (15 - (7 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (8 - 5 - 4)) + (27 - (-12 + -2))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a64 - 62?\nAnswer: a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/7)\/(h\/h**15)*h**(-3\/5)\/h*h*h**(-10\/9) assuming h is positive.\nAnswer: h**(3736\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 8. Let n be b(-7). Let s(r) = r**2 + 4*r - 7. Let c be s(n). Suppose -6*w = -c*t - w + 50, -5*w = 2*t - 55. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23638 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 26.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**3 - 6*w - 18. Let z(l) = -3*l**3 + 233*l + 4 - 228*l + 15. Calculate -4*p(b) - 5*z(b).\nAnswer: -b**3 - b - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 948, 1957, 3022, 4137, 5296, 6493, 7722, 8977?\nAnswer: 10252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/9*6\/(-4). Suppose 2*d - 522 = -0*d + w*u, u - 749 = -3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -x - 10. Solve -o - 4 = -3*o + t, 5*t = 4*o - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -20.84. Let b = 0.882 + a. Let n = b - -0.058. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144208, -288429, -432644, -576847, -721032, -865193?\nAnswer: -1009324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.31 + -1.4. Let k = c - 4.91. Suppose -5*o + 4*o - 4 = -4*t, -4 = -3*o - 4*t. What is the biggest value in -1\/5, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262888185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-30) + 11\/((-22)\/4) + -5?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 2270 = -18*l. 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 -0.0000065191 rounded to seven decimal places?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 242674 divided by -242674\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -149416998 divided by 49805666\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 - 99.82. Let k = l - 0.88. What is the nearest to 0.1 in 4, 2\/19, k?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srcdccarcc. Give prob of sequence rrda.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/9 and -43\/211.\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14026, 112209, 378742, 897805, 1753578?\nAnswer: 3030241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 9*t**2 - 9*t + 7. Let z be s(8). Put 5, 4, z, -5 in ascending order.\nAnswer: -5, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Let v(d) = -38315*d. Calculate b(v(i)).\nAnswer: -38315*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9812 = 30*s + 17177 + 14235. Put -3, -1, s in descending order.\nAnswer: -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5\/3 - 480*s**4 - 42670*s**3\/3 + 15180*s**2 + 42665*s\/3 - 14700 = 0 for s.\nAnswer: -28, -1, 1, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 5, -2*q + 3*d = 5*d + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 8*i - 8. Let h be (-3)\/(6\/(-8) + 0). Suppose 35 = h*m + m. Let z be k(m). Sort -4, -2, z in descending order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b. Let t(u) = -2*u - 8048*u**2 + 2*u + 8057*u**2. Calculate t(o(s)).\nAnswer: 324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 10. Let l be f(-8). What is the common denominator of l - (2 - 11\/(-4)) and (-3)\/(-66)*2*47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4. Let p = -7.7 + 7.4. Which is the second smallest value? (a) o (b) 0.3 (c) p (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1920?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j + 31*j**4 - 33*j**4 + 3*j**4 + 3 + 3*j**3 as v*j + n*j**4 + y + h*j**2 + r*j**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 84*k**4 - 13220*k**3 - 357900*k**2 - 217740*k - 33304 = 0.\nAnswer: -23, -1\/3, -2\/7, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1468, -1501, -1556, -1633?\n\"Answer: -11*m**2 - 1457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let l be x(-1). Suppose -l*z = 2*t + t - 8, 2*t - 6 = -z. Suppose 3*d = t*d - 40000. Round d to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -57. Let v be s\/(18\/(-8)) + (-25)\/3. What is the tens digit of (-2)\/v + 334\/7 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let s(v) = -147*v**2 + 287*v**2 - 3*v - 149*v**2. What is -5*f(d) + s(d)?\nAnswer: -9*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*d - 575, 2*d + d + p = 345. Let m = 7 + -3. Suppose -m*l = l - d. What is the remainder when 67 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1380 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8124 divided by 17\nAnswer: 8124\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10611592 is divided by 60986.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 3*f + 11*x, -5*f + 3*f = x - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 93382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/40)\/(17\/85)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 4*q + 4*q)*(-1 + 4 - 1) + 1708 - 58*q - 1708 + 2*q - q + 0*q to n + y*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 1101*p**3 - 150*p**2 = 0.\nAnswer: 0, 50\/367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(2 + -1 + -2). Let b(l) = 2*l + 2. Let i be b(1). Suppose u*k - i*k + 2120000 = 0. Round k to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4986, -9970, -14952, -19932?\n\"Answer: b**2 - 4987*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.671692 meters to kilometers.\nAnswer: 0.000671692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 24 = -5*n, 7*d - 2*d + 18 = 2*n. Let u(m) = -m**3 + 3*m**2 + 6*m - 4. Let x be u(n). Differentiate -24 - 31 + 67 - 19*b**x wrt b.\nAnswer: -76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/10 - 390\/(-25). Suppose q*p + 28 = 11*p. Let x be 8\/p*(-35)\/10. Solve -x*u + 2*u = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 4*r + 6. Let n be j(-4). Calculate the highest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 11058?\nAnswer: 11062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 4 - (1 - 3). Suppose 25*h - 27*h + 12 = l. Suppose 3*z - 15 = -h. Put -3, z, -2 in descending order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -63?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t. Let x(k) = 1. Let f(i) = -s(i) - 4*x(i). Let y be f(-1). Which is the second biggest value? (a) y (b) -0.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x - 45. Let d(q) = q + 6. Let o be d(x). Suppose 3*l + l - 20 = 0. Sort 1, o, l.\nAnswer: o, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-4) + 2)\/1. Suppose -201 = -2*o + 663. Suppose q = -3*x, -4*a + o = -0*a + x. Round a to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/9 and -93\/26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3)*k)**(10\/17)*(k*k**(2\/15))\/(k\/(k*k*k**(-3\/5))) assuming k is positive.\nAnswer: k**(147\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**2 - 2*b + 1. Let x be s(1). Let u be -4 - 3\/(x\/6). What are the prime factors of 9\/(-1 + u) - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r. Suppose r*u - 3*u = 0. Put u, 2, -1 in descending order.\nAnswer: 2, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 8*b - 7. Suppose -3*u - 2*a + 8 = 0, u - 2*a - 16 = -0*u. Let n be p(u). What is the highest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -6 + 10. Find the first derivative of 0 + 52*x**3 - 43*x**3 + j wrt x.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 - 9. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558869600?\nAnswer: 2, 5, 353, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 42*s**2 + 77*s + 127. Suppose n - 50 = -2*l, -n = 2*n - 3*l - 114. Suppose -110 = -2*u + n. What is the remainder when u is divided by c(40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/3)\/((-169)\/507).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 10*u + 17*u in the form s + c*u and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -c - 10, 18*w - 93 = -4*c + 9*w + 23 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Suppose g*v = 4*v. What is the second derivative of -2*l**2 + 0 + 3*l + 0 + v wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -1, -2, 2, -12 in descending order.\nAnswer: 2, -1, -2, -12, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**3\/6 + r. Let g(m) be the first derivative of 5*m**2 - 203. What is g(o(i))?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956585 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at most as big as -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 312 + 144. Calculate the remainder when g is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 1. Let y(z) = z**3 + 4*z**2 + z - 6. Let u be y(-3). Let k be b(u). Let s = k + -2. Let g(p) = -p**3 - 4*p**2 - 2*p - 2. What is g(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h - 184031536 = 11*h + 185568464. Round h to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptfltilgp. Give prob of picking 1 g, 2 p, and 1 l.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 32. Let u be n(-16). Let h = -85 + u. Let x = -25 - h. What is the remainder when 46 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9040693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n + 4. Let a(p) = -p + 2. Let k be -3 + 1 - 4*-1. Let d be a(k). Calculate g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -25\/29 (b) 2 (c) 729 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -59986059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r - 68*r + 35*r + 475 = 0 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = 3*y - 69, 3*d = -4*y + 91. Let q be (y\/8 - 2)\/((-3)\/(-12)). Suppose 5*v + 6 = q*v. Is v less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from osslnllosxnsnslgo.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = 1. Suppose -2*h = f - 19. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -32*x**2 - 22080*x + 88828. Give r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 167846547 and 404?\nAnswer: 671386188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9538000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -24. Find the third derivative of -6*o**5 + 27*o**3 - o**5 - 27*o**l - 35*o**2 wrt o.\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Suppose f + 8 = j*g, f - 14 = -4*g - f. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 2:54 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-2)\/6 - -1). Let i(j) = -j - 1 + b*j + 0. Let n(a) = -4*a + 1. Let t(x) = -12*x + 3. Let g(s) = -7*n(s) + 2*t(s). Give 4*g(m) - 3*i(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + 58\/(-3). Let y = t - -24. What is the remainder when 5 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -129*d**2 - d + 128*d**2 - 2 + 1. Let c(p) = 8*p**5 - 9*p**2 - 15*p - 9. Let s(o) = 2*c(o) - 18*i(o). Find the second derivative of s(v) wrt v.\nAnswer: 320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -346 + 18. Let q = -233 - n. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000408 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1312*o. Let c(s) = -23*s**2. Calculate c(z(p)).\nAnswer: -39590912*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*s**3*x**3 - 2988795*s**3*x + 10*s**2*x + 241008*s**2 + 2*s*x + 2*x**3 wrt s?\nAnswer: 66*x**3 - 17932770*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3*q + 0*q)*(-4*q + q + 10*q)*(45*q + 4*q**2 - 45*q + (0*q**2 + 4*q**2 - 2*q**2)*(1 + 2 - 4)).\nAnswer: -84*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6452 - -48714.6\nAnswer: 55166.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-6744550.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:00 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132541 + 40118 - 152842 = 2955*j for j.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 3*d - 2. Let k be p(-3). Let c = k + -9. What are the prime factors of c\/(-7) + (-267)\/(-21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 take away 51453?\nAnswer: -51453.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/1350)\/((-1)\/(-5)). Let d = 0.6 + -5.6. Let z = -9 - d. What is the closest to -2 in -2\/3, z, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*t + 63960, -3*t - 35*j = -39*j - 47989. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:12 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 217*q\/4 + 54.\nAnswer: (q + 1)*(q + 216)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = d + 2*d. Calculate the common denominator of -103\/22 and (d\/8)\/(15\/84).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*o**2 - 1023 + 2055 - 1030.\nAnswer: 462*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -0.33598868634?\nAnswer: -3.33598868634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - 69390\/175. Let h = s - -16297\/40. Find the common denominator of (-3)\/(18\/(-165)) - -2 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 15*m**2 - 38*m + 17. Let h = 21 - 18. Suppose 54 - 17 = -4*b - h*o, 0 = -5*b + 4*o - 85. Does 32 divide q(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**8\/1176 + a**7\/105 + 3*a**6\/140 - 9*a**5\/70 - 9*a**4\/14 - 117*a**2. Determine y so that k(y) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 0.08 (c) -639 (d) 1\/4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 7 = p. Suppose -p*j + 800 = -2*j. What is j rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42336 is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 173*a. Let x be s(1). What is the common denominator of ((876\/(-14))\/(-3))\/4 and (-4)\/6 - x\/(-30)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/9*(-288)\/(-64). Suppose 0*u = -3*i + 2*u + 28, 3*u = 4*i - 36. Let f = i + s. Calculate the greatest common divisor of 57 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3391 - 3379. Let a(l) = -l**2. Let d be a(2). What is the units digit of 5\/(20\/g) - d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79893 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -15*k + 1. Calculate the least common multiple of v(-1) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 688 + -864.5. Let l = -177 - x. Which is the third biggest value? (a) l (b) 0 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -7414 - -14150. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10615, -10704, -10809, -10936, -11091, -11280, -11509, -11784?\n\"Answer: -t**3 - 2*t**2 - 76*t - 10536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6*(-1)\/(-3))\/(-2). Sort -3, b, -2 in decreasing order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2057) + sqrt(153)\/sqrt(36) + 3*(-2*sqrt(153))**2.\nAnswer: -21*sqrt(17)\/2 + 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -9\/76126294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1496.63783 + 1496. Round a to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(2*(-3)\/(-2)))\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27 - 24)*(1 - (-2)\/2). Let k(q) = -q**2 + 7*q - 7. Let y be k(g). What is the units digit of -16 + 87 + y + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 8*a - 10. Suppose -14 = -j + 5. Let m(u) = -9*u + j*u + 1 - 9*u. Let h be m(6). Determine d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {s: 3, x: 12, e: 2}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16\/15 + -2\/3. What is the second biggest value in 1, t, -17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*k - 101 = -193, -5*v + 2*k + 100 = 0. Solve -12*y + t = -17*y - 14, 3*y = -3*t - v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2084*p - 504*p - 521*p - 491*p - 499*p.\nAnswer: 69*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 2818425*g + 5636830.\nAnswer: 5*(g - 563683)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302 (base 4) in base 6?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -3, 0, -0.236, 4, -0.3 in descending order.\nAnswer: 4, 1\/3, 0, -0.236, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 4*c + 4. Let g be w(6). Let z be g\/(-36) - 31709680\/(-9). Suppose -4*r + 476702 = -z. What is r rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 4*w + 10, i = -2*i + w + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -709*w + 710*w + 5. Sort -3\/4, w, 1\/6, 1\/5.\nAnswer: w, -3\/4, 1\/6, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*h - 50, 2*j - 5*h = 7 - 0. Let i(a) = -a**3 + 12*a**2 - 14*a + 5. What is i(j)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/(o\/(o\/o**(1\/7)))))\/o*o*o)\/o)\/o)\/(o\/(o*o**0\/o*o))*(o**(-1))**(-1\/56) assuming o is positive.\nAnswer: o**(-47\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1. Suppose -z - 3*z = 12. Let l(x) = 8*x - 2. Let j(m) = -m. Let i(s) = -14*j(s) - 2*l(s). Suppose 4 - 2 = 2*w. Calculate w*i(g) + z*k(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a - 11. Let r be q(-7). Let w = r + -82. Let n be w\/(-64) + 0 + 11\/4. Calculate the greatest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**2*z**3 + 5*v**2*z - 4*v**2 - 3133*v*z**3 - 168*v + 90*z**3 - 2*z - 31 wrt z?\nAnswer: -6*v**2*z - 18798*v*z + 540*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/7 and -50\/9947.\nAnswer: 9947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/(-54))\/4*-18)\/((-3)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 1. Let z be j(3). Let y(m) = m**2 - 5*m**2 + 3*m**z. Let b(v) be the second derivative of -3*v**4\/2 + 20*v. Determine y(b(u)).\nAnswer: -324*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24268, -24443, -24616, -24787?\nAnswer: -24956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 38. Suppose q = 3*h + 528, -x*q + q + h = -1061. List the prime factors of q.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 233?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - s + 2. Let n(f) = 161*f**2 - 4*f - 15. Let d(a) = -19*a**2 + a + 1. Let t(b) = 8*d(b) + n(b). What is 7*p(k) + 2*t(k)?\nAnswer: -3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87885578213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 10*t - 45. Solve -y - 4 = -t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 0*h = -h - 10, 0 = 3*n + 4*h + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - -4 - (17 - (-6 + 1))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/9)*s**(-15\/7))**(-45))**(16\/7) assuming s is positive.\nAnswer: s**(13040\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -167\/3. Let r = -11\/24 - -1\/8. Which is the nearest to r? (a) -2 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from xxjajxjaoyjxlxj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026399 rounded to five decimal places?\nAnswer: 0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*j - j + 3*j)*(0 + 4 - 3) - 11 - 6*j + 11)*(3 - 2*j - 3)*(-3*j**2 - 2*j**2 + 3*j**2) to m + z*j**4 + u*j**3 + v*j**2 + f*j and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7223331 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 0, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + l - 2. Let p be y(1). Solve -g + 15 = p*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 > -1311\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050 equal to 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1565 - -1579 - (18 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1745558904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*a**3 - 2206278*a**2 - 405396630*a?\nAnswer: 342*a - 4412556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 p when three letters picked without replacement from {q: 1, k: 7, m: 8, p: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0*c**2 + 0*c - 3\/4*c**4 + 1 - 1\/3*c**3. Calculate g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6 = -0*r + 4*f, -2 = f. Suppose 0 = z - 5*y - 27, -5*z + 8*z = 5*y + 31. Let h be z\/4 - 9\/6. Sort r, 5, h in ascending order.\nAnswer: h, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20748*j**2*m**2 + m**2 + 6*m - 205 wrt j.\nAnswer: -41496*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625223 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 42256\nAnswer: 3\/10564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 2*i + 47 = 3*u - 0*u, 4*i = 44 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/3 - 1)*5. Suppose -l*y - 1817 = -667. Let j = 561 - y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 7*r**4\/24 - 17*r**3\/3 - 106*r**2. Let l be z(9). Calculate the highest common factor of 928 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) -0.1 (b) 1 (c) 98 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6)*k)\/k**(-1\/11)*(k*k**(-1\/4)\/k)**(-43))\/((k**(3\/4))**27)**47 assuming k is positive.\nAnswer: k**(-10394\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/16 + 11*h**3\/12 - 39*h**2\/8 + 45*h\/4 - 730. Factor d(r).\nAnswer: -(r - 5)*(r - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -3\/4 (b) 2\/23 (c) 0.8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - m + 40 = 0, -2*h + 4*m + 1419 - 1491 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 = 10. Suppose -5*u = 4*g + 30, u + 0*u = -h*g - 6. Is u\/(-3) - -1 - -1070 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41\/3? (a) -0.4 (b) -2.6 (c) 5.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = 3*o. Let m(y) be the second derivative of y**4\/12 + y. Let u(t) = 5*t**2 - 2*t + 2. Determine o*u(l) - 3*m(l).\nAnswer: 2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1872 and 59\/635518.\nAnswer: 45757296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 4. Let j(f) = -2*f - 3. Let z(m) = -3*i(m) + 4*j(m). Let y(v) = -v + 3. Let b(d) = 3*d - 5. Let h(q) = 3*b(q) + 5*y(q). Calculate h(z(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 72 = -1760*k + 1764*k, -p - 3*p = -2*k - 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 7653308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -143. Let j = -44 - r. What is the third derivative of 723*h - 723*h - 15*h**j + h**2 wrt h?\nAnswer: -360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -883 + -b?\nAnswer: -890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 225\/154 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 5*p + 6*i + 232, -p - 4*i + 69 = 0. What is the greatest common divisor of p and 4087?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*p**3*r - 24*p**3 + 6370*p**2*r**4 + 15*p**2 - 3*p - 5 wrt r?\nAnswer: -10*p**3 + 25480*p**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -295453*k - 324881?\nAnswer: -295453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -21*q + 23. Let w(r) be the first derivative of -3*r**3 - 3591. Give w(f(c)).\nAnswer: -3969*c**2 + 8694*c - 4761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4557 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 1. Let h(u) = -5*u**2 + 7*u. What is h(g) - 6*p(g)?\nAnswer: g**2 + 7*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*a = 7*x - 16, -3*x - 3 = -3*a. Suppose -3*b + x*b + 100 = 0. What is the common denominator of -43\/18 and (-5)\/b*-46 - 3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + -5 + -2*(-1 + sqrt(125))*-3)**2.\nAnswer: -480*sqrt(5) + 4564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 75. What is the remainder when w(12) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 7313031 - 1668241. Suppose 0*c = 62*c - z. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535976813?\nAnswer: 3, 7, 43, 1187, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + 3. Solve 0 = 4*f - 5*p + a, -f = -p + 7 + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 2*x**2 - x - 3. Let w(q) = -264*q**3 - 10*q**2 + 5*q + 205. Let z(g) = -10*i(g) - 2*w(g). What is the derivative of z(b) wrt b?\nAnswer: 1614*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*713\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -18. Let h = -22 - -26. Is w at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 304 - 663. Let y = 358.7 + j. Which is the closest to -2\/5? (a) -18 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.59 + 1.41. What is the closest to g in 2\/3, -4, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28480 and 6080.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 351497733 to the power of 1\/2, to the nearest integer?\nAnswer: 18748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -263*o + 1580. Let f be d(6). Let p(j) = 1. Let t = 0 + -1. Let a(w) = -3*w**2 + 2. Give f*p(m) + t*a(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53905.59 millennia?\nAnswer: 53905590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -185259 and -8.83?\nAnswer: 1635836.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 3*z - 733*z**2 + 736*z**2 to the form d*z + w*z**2 + o and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-244)\/427*350\/(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94378127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1116*a = 1118*a + d - 10, -d = -10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26677339.\nAnswer: 13, 73, 28111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 + 23*g + 31. Let t(q) = -28*q**2 + 389*q + 36. Let u be t(14). What is a(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -15. Suppose -y = -h + 9. Let o = 0 + 120. Calculate the greatest common divisor of h and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -78.8.\nAnswer: -79.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4093*(-33)\/6)\/5. Let g = m - -4513. Find the common denominator of g and 23\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 15897.\nAnswer: 79485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-26)*k)\/k**2)\/((k\/k**(8\/7))\/(k\/k**(1\/8))) assuming k is positive.\nAnswer: k**(-1455\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*j, -5 = 11*j - 15*j - 3*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -65, -164, -353, -662, -1121, -1760?\n\"Answer: -5*o**3 - 4*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 35436888?\nAnswer: 177184440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/24)\/((-1)\/(-6)). Let j(q) = 18*q + 7. Let g be j(c). Let v = -32 - g. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 1\/60*p**5 + 0*p**4 + 0*p + 0*p**3 - 3*p**2 + 0. Let h(d) = 4*d. Give h(w(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*q + 7*q + 14343 = 17673 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**6\/80 + 3*j**5\/8 - 19*j**4\/32 - 18*j + 7. Factor h(x).\nAnswer: -3*x**2*(x - 19)*(x - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*u**3 - 22*b*u**2 - 12*b - 109*u**5 - 37*u - 7 wrt u?\nAnswer: -18*b*u - 44*b - 2180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*z**2 + 11*z - 11*z + z)*(0*z**3 - 2*z**3 + z**3).\nAnswer: 2*z**5 - z**4 - 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 49.9, 2\/19, -2, 0.4, -2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10714?\nAnswer: 2, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 91997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 19 + -12 + (4 - -18).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = -4*f. Suppose 2*r + 8 = 0, 4*w - 3*r - f = 5*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301630 = -20*q - 69870. List the prime factors of q.\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110000000101010101101 (base 2) in base 15?\nAnswer: -4c834e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a + 31. Give b(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*v + 27 - 32, 5*y + 5*v + 25 = 0. Sort 9, y, 5, 3 in increasing order.\nAnswer: y, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 6:23 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 28. Let g be (12\/21)\/((-6)\/(-21)). Suppose 0 = -3*c + f + 44, 2 + g = -2*f. What is the remainder when x is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2 = -p - d, d = 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -623405 (base 7) to base 14.\nAnswer: -2ad3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - 4*k)*(3*k**3 + 0*k**3 - 5*k**3) + (-2 + 2 + k)*(0*k**2 + 0*k**2 + 2*k**3) + (0*k + 0*k - k)*(-2*k**3 + k**3 + 0*k**3).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6407647*0.2.\nAnswer: -0.12815294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u + h - 6, -3*u - 4*h + 2 = 0. Suppose -4*i + 8 + 10 = -2*r, -5*i - 4*r + 16 = 0. Sort -5, u, i.\nAnswer: -5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2232 - 2214. Let q be (1 + -3)\/(4\/18). Let v = q + d. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*o = -3*b + 10, -4*o = 4. Suppose 7 = b*x - 20. Let g be (21\/x)\/(2\/(-24)). Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - -1.4. Let h = 1.43 + -1.33. Sort k, -1, h in increasing order.\nAnswer: -1, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8326 - -8330. Suppose 4*r = -12, 4*y - 10 = 3*r - 5*r. Suppose 3*v - 1 = n, -4*n - y = -j*v - 2*n. Which is the nearest to v? (a) -4 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 65*g + 337. Calculate the lowest common multiple of b(-5) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 9 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*g**3 + 121\/2*g + 41 + 19*g**2.\nAnswer: -(g - 41)*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.769 times 2\nAnswer: 1.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60936 (base 10) in base 2?\nAnswer: 1110111000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l + 5*z = 50, 4*z = l - 2. What is the units digit of 122\/14 - 4\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144720.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 2:48 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*k - 2 + 195*k + 2.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 919 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 167*c**4 + 10314*c**3 + 273416*c**2 + 2319328*c - 9710976.\nAnswer: (c - 3)*(c + 38)*(c + 44)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29231255549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + c - 73. Let a be t(6). What is the remainder when (5 - (-5769)\/45) + (-1)\/a is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21608 and 3133?\nAnswer: 676.97864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4281 or 4284078\/1001?\nAnswer: 4281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -33. Let i(p) = p**3 + 5*p**2 - 3*p - 3. What is the least common multiple of i(-5) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7*m + 77096 = 24680. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**8\/3360 - u**7\/1260 + u**6\/360 - u**4\/8 - 4*u**2. Let a(i) be the second derivative of o(i). What is a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103504 - -323?\nAnswer: 104130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*n - 37 = o, -5*o - 4*n = 4*n - 7279 + 7352 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*t - 22482 = 250*t. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - -18 - -25) + -1 + 14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3278*z**2 + 0 + 3234*z**2 - 1 + 1.\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6 - 1 + 0 + 7 + 1. Let m(x) = 2*x**2 - 1. Let h(g) = -6*g**2 + g + 2. Let r(j) = 3*h(j) + 8*m(j). Calculate r(a) + 4*u(a).\nAnswer: -2*a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 674338 (base 14) in base 5?\nAnswer: 1344214340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eej when three letters picked without replacement from {j: 7, e: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + 0 + 4. Let v be 248\/(-12) + 2\/3. Let y be (-15)\/v - 125\/(-4). What is the greatest common factor of u and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.16 times -7\nAnswer: 141.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -561058254 divided by 1982538?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 786256 and 248.\nAnswer: 24373936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/18*2 + 10\/(1350\/(-423)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-26)\/(-4))\/(18\/24))\/(2\/(-3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -528 - -1583\/3. Which is greater: -6\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((1 + -4 - -4) + 26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -457 + 562. Calculate the highest common factor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*s + 2*s. Let w = -0.055 + -0.005. Let o = -7.06 - w. Which is the third smallest value? (a) s (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h + 6 = 0. Let k be (-42)\/(-4) + 2\/(-4). Let r be ((-4)\/k)\/(6\/(-60)). Solve r*g = -5*o + 4, -4 = 4*o - g + h*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 - -177.00000337. Round p to seven dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 1. Let z be (-3)\/(6\/(-10)) + 0. Let t(u) be the first derivative of 7*u**2\/2 + u + 8. Let s(d) = -d. What is k*t(a) + z*s(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 11 - (4 - 1) - -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3 + 9*g**3 - 6*g**3 - 3*g - 4*g**3 + 3*g**2. Let x be l(2). Let y be 6 - (-5)\/((-15)\/9). Solve 0 = -4*n + 3*m - 14, 2*n = -y*m - x + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378, -3525, -8770, -16113?\nAnswer: -25554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -29 + 52 + -26?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 4. Let a be b(4). Suppose 6*u = 4*u + a*i + 8, 2*i = 4*u + 14. Let d = u - -11. Solve d = 4*m + m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1835 bigger than -1827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5) + (24 - 1963\/65).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*f**2 + f**4 - 62*f**3 - 71*f**3 + 3 + 129*f**3 + 97*f**2 to c*f**4 + s + t*f**3 + p*f + b*f**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -28*t**2. Let o(w) be the third derivative of w**4\/6 + w**3\/6 - 58*w**2 - 3*w. What is o(g(r))?\nAnswer: -112*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -64, -96, -130, -166, -204?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 + -95. Calculate the greatest common divisor of a and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 10 = -3*f, -q + 0*f - 8 = -2*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11*2*(-23)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 2:03 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 112?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156421352 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15775?\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024 is divided by 958?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**5\/4 - 25*v**4\/4 - 11*v**3\/2 + 17*v**2\/2 + 19*v\/4 - 9\/4 = 0.\nAnswer: -1, 1\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 2251811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37045 and 1240?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, 3, 256844, 4\/7, -2\/23.\nAnswer: -2\/23, 4\/7, 3, 5, 7, 256844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1815)*-2 - sqrt(1815)))\/(sqrt(18)\/((sqrt(48) + sqrt(432) + sqrt(48) + sqrt(48))\/sqrt(8))).\nAnswer: -198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*h + 160*h + 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4865 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 4788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*j - 50. Solve -j*h + 5*s = 2*s + 3, -s = 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k**2 - 2*k**3 + 0 + 0*k - 1\/2*k**5 + 2*k**4 = 0 for k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196136432?\nAnswer: 2, 1361, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079841?\nAnswer: 89, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from wwwwggwllg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1962\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -1462.\nAnswer: 175.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19693, 19792, 19891, 19990, 20089, 20188?\nAnswer: 20287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (10 + 0 - (170 - 129)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.829, 0.2, 0.12, 0.3 in increasing order.\nAnswer: 0.12, 0.2, 0.3, 0.829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15596 < 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 42*k - 178. Give s(46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 42 = -3*z, 65 = -5*x + 5*z - z. What are the prime factors of (0 - 32)*x\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.5 times 26?\nAnswer: 7449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 554*m + 810010 - 810010.\nAnswer: 554*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 577969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*c + 0*c + 3*c)*(-3*c + 2*c + 3*c) + 2*c**2 - 3 + 5 - 4 + (-4 + c**2 + 4)*(2 - 7 + 1) - 3 - 2*c**2 + 3)*(2*c**2 + 5 - 5).\nAnswer: 16*c**4 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25 = -g, 0 = -z - 0*g + g - 1. Solve 3*p = 5*p - z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 47 + 93. What is the greatest common factor of 100 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2\/2993, 1\/7, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sms when three letters picked without replacement from {p: 1, z: 7, m: 4, l: 2, s: 4, b: 1}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(99)*-2)**2 - (4*sqrt(99)*-2 - sqrt(99)) - (-5 + -1 + sqrt(99) + -1 + sqrt(99) + 3).\nAnswer: 21*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -508.8+-4.44736\nAnswer: -513.24736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000080512 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 635 or 3008?\nAnswer: 635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (1 + 0) - 0) + 16 + 7 + -19.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30205352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 43. Solve j*r = -4*g + 2*r + 18, 0 = -2*g + 2*r + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1827*n**2. Let h(q) = -10*q. Calculate g(h(d)).\nAnswer: -182700*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*r + 22*r + 27*r - 311305. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 - 31*n + 8. Give o(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.29? (a) 0.2 (b) 3\/7 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffwcfwkkfk. What is prob of picking 1 c, 2 f, and 1 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.3 - -4. Let y = 0.2 - s. Let g be (2 + (-52)\/25)*10. What is the closest to -2\/5 in 1\/3, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5247899 rounded to 2 decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**8\/448 + 3*t**7\/70 + 31*t**6\/160 - 3*t**5\/20 - t**4 - 10*t**2 - 85*t. Determine q so that s(q) = 0.\nAnswer: -8, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*y**3 - 18*y**3 + 21*y**3 + (7*y - 23*y - 29*y)*(4*y - y**2 - 4*y).\nAnswer: 35*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2. Let a(g) = -2*g**2 - 186. Give h(a(y)).\nAnswer: 4*y**4 + 744*y**2 + 34596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 15*m**2 - 4*m + 5. Let w be r(3). Let i be w\/(-48)*(-3)\/4. Let a(b) = -13*b**2 - 9*b + 9. Let l(z) = 3*z**2 + 2*z - 2. Give i*a(p) + 9*l(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**3 + 63651 + 30*p**3 - 63651.\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -7.8393.\nAnswer: 8.1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42*k + 0*k**2 + 9*k**2 - 3*k**2 + 95 - 2*k**2 - 6*k**2 wrt k?\nAnswer: -4*k - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(17\/4))**(27\/5) assuming c is positive.\nAnswer: c**(459\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 3 + 0 + 2)*(4 + y - 4) + (3 - 3 + 2)*(y**3 + 0 + 0).\nAnswer: 3*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68918, 551393, 1860970, 4411199, 8615630?\n\"Answer: 68925*m**3 + m**2 - 3*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/30952 and 81\/13038848.\nAnswer: 951835904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001 + -12?\nAnswer: -22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 140 - 92 = 0. Let u(n) be the second derivative of -1\/25*n**5 + 1\/75*n**r + 3*n + 0*n**3 + 0*n**2 + 1\/30*n**4 + 0. Suppose u(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -25.915320462?\nAnswer: 25.615320462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -62776*r + 376544. What is s(6)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 7*c + 3*y - 9 = 0, -5*c + 23 = 2*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j - 3. Suppose 0 = 16*f - 23*f - 364. Let d be 3\/(-288)*f - 1\/(-3). Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16539.3 + 16539. What is the fourth smallest value in g, 3, 4, 2, -1.73?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 413 = 15*j. Let p = -3 - -73. Calculate the greatest common divisor of p and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**3 + 45*v**2 - 32*v - 41. Give m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44425350 (base 7) in base 6?\nAnswer: 214135423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 801499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 2\/5*j**5 - 3\/2*j**2 + 0*j + 0*j**4 + 0*j**3 - 3. Find the second derivative of v(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 765?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0272*-21.6.\nAnswer: -0.58752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*r + 595 - 96, 831 = -5*r + 4*p. Let l = r + 419. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -495*k**3 + 33*k**2 - 33*k + 33. Let s(u) = 31*u**3 - 2*u**2 + 2*u - 2. Suppose -4*z + 46 = -2*f, f + 22*z - 26*z + 13 = 0. Give f*s(d) - 2*p(d).\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17649816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 12:06 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4404 + 143344?\nAnswer: 133440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -78*v + 9. Let g(b) = -39*b + 5. Determine -5*g(t) + 3*m(t).\nAnswer: -39*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168.28 + 1.28. Let g = w + 166.7. Sort 3\/2, 3, g, 0.5 in increasing order.\nAnswer: g, 0.5, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -132, -114, -108, -120, -156?\n\"Answer: -l**3 + 25*l - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w. Let a(t) = -447*t. What is j(a(l))?\nAnswer: -4917*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0*l - 13*l**3 - 5*l + 13*l**4 + l**2 - 2*l + 13*l**5. Let y(m) = 9*m**5 + 9*m**4 - 9*m**3 + m**2 - 5*m. Let v(k) = -5*p(k) + 7*y(k). Factor v(f).\nAnswer: -2*f**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 4 + 2 + 0. Let k(n) = 3*n - 2. Let s be 1 + 1 + 30\/10. What is s*k(u) - 4*h(u)?\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 3. Let z be q(-2). Let h(r) = 4*r**3 - 5*r**2 + r + 6. What is the tens digit of h(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38863549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -9 + 7 - 8\/4) + 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3657 + 883?\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*o - 3455 = -4*o, 2591 = 3*b - o. Is 32 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12526.36 rounded to the nearest 10?\nAnswer: -12530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 3*f**2 - f. Calculate o(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -568531?\nAnswer: 568536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, f: 14}. Give prob of sequence ff.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let h = 24 - 42. Let j be 2 - (-1)\/(2 + h\/8). Which is the closest to v? (a) j (b) 2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 6. Let k(w) = -f*w**3 - 27 + w + 26 + 0*w. Let z be k(-2). What is the greatest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r**4\/3 - 8896*r**3\/3 - 599372*r**2\/3 - 579284*r - 429432 = 0. Calculate r.\nAnswer: -58, -3\/2, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3871\/6, 2, 17, 0.5 in decreasing order.\nAnswer: 17, 2, 0.5, -0.1, -3871\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/12 - 5*w**3\/6 - 27*w**2\/2 - 2*w - 22. Differentiate c(l) wrt l.\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1071 - -1155. What is the remainder when 344 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*m + 2, -67 + 57 = 5*v + 3*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/35, 0.3, -0.2, 4, -172, 0.2?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 877605548?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342985 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3652 divided by -83\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a decade in months?\nAnswer: 1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 1.2. Let v = 0.2 - 0.1. Let n = v + 0.3. Which is the nearest to u? (a) 0.3 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:59 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*l + 4)*(38*l + 8*l - 19*l)*(-2 + 2 - 4) + l**2 + 0*l**2 - 7*l**2.\nAnswer: 210*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o = -18*o + 30*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47051 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 prob of sequence fft when three letters picked without replacement from {f: 3, v: 2, q: 3, z: 4, n: 2, t: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 61.096 (c) 0.2 (d) 3\/2 (e) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 3)*5*(-24)\/5 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -26*b - 11. Let l(u) = 14*u + 5. Suppose p - 11 + 7 = 0, -p - 2 = -t. Let j(o) = t*r(o) + 11*l(o). Give j(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 1\/24*y**4 + 0*y + 0*y**3 - 3*y**2 + 0. Let q(c) = 5*c**2. Determine q(x(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -7, 10, 82, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/2)\/(4\/(-40)). Let d(k) = -86*k + 2. Let j be d(-1). Suppose 2*o - j = -2*o. Calculate the greatest common factor of q and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9009181 divided by -9091?\nAnswer: -991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {s: 2, x: 2, f: 1, i: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/7 + 5342*p**4\/7 + 163848*p**3\/7 + 63360*p**2 = 0. What is p?\nAnswer: -2640, -28, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7*y - 29 = -2*y, -y + 5 = 0. Suppose -2*q = 3*k - 2 - n, -3*q = 2*k - 25. Solve -4*i - q - 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 93. Let w = t - 28. Calculate the greatest common divisor of w and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 440 + -435.14. Let q = x - 4.6. Let z = 0.25833 - q. Round z to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 3*v**2 - 45*v**3.\nAnswer: -45*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 3*p**3 + 0*p**3 + 18*p.\nAnswer: -p**3 + 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 417 and 980029925.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4\/4 + 15*y**3\/2 - 15*y**2\/4 - 25*y - 15.\nAnswer: 5*(y - 2)*(y + 1)**2*(y + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(68)*-2 + sqrt(68) - sqrt(68))*-1)\/(1*sqrt(256) - sqrt(256) - sqrt(256) - (sqrt(200)\/sqrt(5))\/sqrt(10)))**2.\nAnswer: 272\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 52120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4549 = 5*z, -633 = -2*z - 5*f + 1165. Let v = z - 463. List the prime factors of v.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*y - 200*y + 15863 + 1298 = 2689 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6838 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3281 - -3?\nAnswer: 3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 + 8 - (-36)\/14295*794. Let l be (-1302033)\/(-2830410) - (-4)\/18. Let t = k + l. Calculate the common denominator of t and -85\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 879. Suppose -4218 + y = -5*f. Suppose -2*i + 7*i = f. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 87*(3 - -1*(2 + -6)). Let h = s + 92. Solve -5 + 2 = 3*q, u - 2*q - h = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s + 1309 = -744 - 341. Solve 2*d - s*i = -56*i + 4, 0 = 3*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)\/g)**(-6)*g**(4\/7)*g\/((g**(-1\/13)\/g)\/g) assuming g is positive.\nAnswer: g**(-214\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 = 139*d + 3999 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {y: 1, o: 1, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*d + 1 = -x, -3*d = 9. Let f be (8\/(-9))\/x + 306\/81. Suppose -u + 3*v = -2*u + f, -4*u - 5*v + 2 = 0. Put 1, -3, 0, u in decreasing order.\nAnswer: 1, 0, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948024 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**2 + 0*n - 1\/3*n**3 + 1\/24*n**4 + 0. Let w(z) = -z + 2. Suppose 0 = -2*x + 3 + 3. Calculate x*w(k) + 2*g(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + g - 4. Let f be q(3). Let r = 12 - f. Suppose r*l - 32 = -4*u + 12, 22 = 2*u - l. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t + 2. What are the prime factors of s(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.284 - 7.284. Which is the closest to 3? (a) -3 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 102349.852?\nAnswer: -102343.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27950, 27997, 28042, 28085, 28126?\nAnswer: 28165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) -1.014 (c) 1\/1698\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -860, -2085, -3654, -5561, -7800, -10365, -13250, -16449?\n\"Answer: i**3 - 178*i**2 - 698*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*2*(3*sqrt(833) + (sqrt(102) + 4*sqrt(102))\/sqrt(6))*-2)**2.\nAnswer: 1654848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 0, -1231, 9.\nAnswer: -1231, 0, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 (base 9) in base 13?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -181 - 331. Let n = j + 34. Let p = n + 317. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -g + 5*n + 13, -5*g = -4*n - 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.224, -1\/4172, 6, -3\/8?\nAnswer: -1\/4172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74594, 74592, 74590, 74588?\n\"Answer: -2*h + 74596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -2\/16541 (c) 3 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*1*sqrt(448) - (sqrt(448) + -3 + -3))**2 + -1.\nAnswer: -20341 + 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 4*l**5 + l**5 + 2*l**5 + (-3*l + 3*l**3 + 3*l)*(2 - 2 + l**2).\nAnswer: 2*l**5 - l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - -1. Let r = 22.07 + -0.07. Let g = r + -19. Which is the biggest value? (a) g (b) -3\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 2447 - 667. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/8)*o*o\/(o\/(o\/o**(2\/19)))*o)\/((((o*o**(-9))\/o)\/o)\/o*o**(-1)) assuming o is positive.\nAnswer: o**(2587\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 + 382 = 5*u - 118. Solve 0 = -6*q - u + 51 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 4*t**3\/3 - 8*t**2 - 2*t + 7. Let w be y(8). Calculate the greatest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z - 1. Calculate w(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 71*n + 3224. Let g be d(-44). Solve -11*m - g = 39*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l - 75 = 54 + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2 + (0 + sqrt(72) - sqrt(72)) + sqrt(72) - 1*sqrt(72)*-1)*-2*-3 + 5) + 2.\nAnswer: -432*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 6*g**2 + 1. Let v be (63\/4 - 16)\/((-1)\/24). Determine c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:32 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -137*m + 94. Let j be h(3). Let i = j - -321. Let o(s) = 9*s**3 - 2*s + 1. Calculate the least common multiple of i and o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 9, -4, 0, 5, -2, -36 in decreasing order.\nAnswer: 10, 9, 5, 0, -2, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011110001000001001 + -1101101110?\nAnswer: 11011101111010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0568 * -0.3\nAnswer: -0.01704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -57, -198, -461, -882, -1497, -2342?\n\"Answer: -6*x**3 - 7*x**2 + 8*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from wxkrcrk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 711294205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*v - 12, 5*v - h - 1 = -4. Suppose 4*k + 127 + 77 = v. Let o = -48 - k. Put o, 0.5, 4 in descending order.\nAnswer: 4, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 33908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/7 - 4*r**4\/7 - 4*r**3\/7 + 8*r**2\/7 + 2*r\/7 - 4\/7 = 0 for r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 7 - 33. Let x be (-30)\/20*h\/(-3). Let l be x\/4*(-168)\/(-70). Let y(v) = -3*v + 6. Give y(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77681, -62454, -47223, -31988?\nAnswer: -16749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 48. Suppose 0 = -5*l + z - 5. Suppose -4*b + 12 = 0, -4*b + 4 = -l*m - 8. Which is bigger: m or -2\/29?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*t - 23 + 5, 0 = 12*t. Calculate the highest common factor of 20 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2 (c) -17 (d) 2\/7 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-368)\/(-161)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -379, -2945, -9887, -23389, -45635, -78809, -125095?\n\"Answer: -364*a**3 - 4*a**2 - 6*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25719.5 and 0.64?\nAnswer: -16460.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4925617 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -23, 4 in descending order.\nAnswer: 4, -23, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/168 and 101\/68904.\nAnswer: 482328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (543\/1086)\/((-2)\/(-69)*9\/(-12))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218 - -326. Let y = w + -108.00061. Round y to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -912829 or -912804?\nAnswer: -912804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3))**(-31\/3)\/((n\/(n\/((n\/n**7)\/n)))\/n**(-3)) assuming n is positive.\nAnswer: n**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7020 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496479 is divided by 2140.\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.41 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/60 - r**4\/8 - r**3\/3 + 15*r**2. Suppose g + 8 = -g. Determine h(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 106 + 0\/(-3) + 3. Suppose b - 4*n - 5 = n, 3*n = -5*b + l. What is the lowest common multiple of b and (0 + (-2)\/(-1))*4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -197*o**2*v - o*v**2 + 498*o + 28*v**2 + 8048*v wrt o?\nAnswer: -394*o*v - v**2 + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 1, s: 1}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u - 1. Let t(m) = m**3 - 9*m**2 + 10*m - 11. Let l be t(8). Suppose 7 = l*k - 3. Is r(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-2 + 2)) + (-3 - 14 - -29)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 105?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517*i**2 + 139172665 - 139172665.\nAnswer: 517*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14)\/(h\/h**(1\/15)))**(-5\/2)\/((h**0)**(2\/69))**45 assuming h is positive.\nAnswer: h**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2906 + 554. Suppose -3*t + p - 330 = -0*p, -5*p = 15. Let f = t + h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212*x**2 + 551*x**2 + 397*x**2 to b*x + r + c*x**2 and give c.\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26283911*k**3*q**2 + 2*k**2*q**2 - 3*k**2 - k*q**2 - q**2 + 105370*q wrt k.\nAnswer: 157703466*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/9)*r*(r\/((r*r*r**2)\/r))\/r)**(3\/5)\/((r**(-2\/3))**(34\/5))**(-1\/18) assuming r is positive.\nAnswer: r**(-133\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51694, 103452, 155272, 207154?\n\"Answer: 31*s**2 + 51665*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/11 + 1748\/4807?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 14*v - 24. Let p be t(2). Factor 5*c**4 + p*c + 55*c**2 - 30*c - 30*c**3 - 12*c.\nAnswer: 5*c*(c - 3)*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1458.8 and 1.1.\nAnswer: 1459.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.05 - 0.05. Let l = p + -6. Which is the third smallest value? (a) 2 (b) l (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 - 14*i**4 - 16*i**3 + 14*i**2 + 15*i.\nAnswer: i*(i - 15)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 5. What is the biggest value in -0.1, o, -12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 43*l**2 + 67*l + 100. What is the remainder when a(-45) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2767*z**2. Let n(a) be the third derivative of -a**4\/8 + 4*a**2 - 293. Give n(q(v)).\nAnswer: -8301*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4212312330 + 2?\nAnswer: 4212312332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 9*u - 6. Let d be v(-5). Let t = 31 + d. Suppose -125 = -t*a - 4*j + 224, -5*a = -3*j - 377. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26507 + 46410. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.04 (b) -4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:28 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396100 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8059 - -16891. Does 42 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavvaaakava. What is prob of picking 1 k and 3 v?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-16)\/(102\/(-51)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 13*b**5\/20 + b**4\/3 - 7*b**2\/2 + b + 27. Find the third derivative of g(i) wrt i.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -17 + -6 + -11 - 69.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13211.023 - -13211. Are i and -112 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747510*q + 747629*q + 8933 = 2507 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -18435.81884 to the nearest 100.\nAnswer: -18400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 4*u = 20*z - 30, -2*u = -4*z + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1282704205 or -1282704204?\nAnswer: -1282704204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2337579 (base 11) to base 3\nAnswer: -21200021222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21214 - 14258. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 2*h**3 - 2*h**2 + (-3*h - h + 5*h)*(-h**2 + h**2 - h**2) - h**3 + 2*h**3 + h**3 - 3 - 433*h**3 + 305*h**3 + 8.\nAnswer: -125*h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*n**3 - 16*n**3 - 73*n + 7*n**3 wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(2 - (-76)\/(-18) - -2). Let h = -87 - d. Let g be ((-3)\/h)\/((-5)\/8). Which is the second smallest value? (a) 0.12 (b) g (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(99) + -1 + (2 + sqrt(99) - sqrt(99)) + 2.\nAnswer: 8 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*h = i + 2, 0 = -2*h. Let l be 2 + 1*i - 0. Suppose -6 = -v - 4. Solve 0*r + v*r = l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -192.8647?\nAnswer: -192.8647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*b**2 - 713*b**4 + 2 + 1424*b**4 + 4*b**3 + 2*b - 710*b**4 in the form p + f*b**3 + r*b**4 + n*b**2 + t*b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 4. Suppose -2*k + 4 = 2*k + 2*u, -3*k - 3*u + 6 = 0. Let t be q(k). Solve b - t*b + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 79 = -98. What is the second derivative of t*u - 1342*u**5 + 1325*u**5 - 67*u wrt u?\nAnswer: -340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 515*k**5*t + 270247*k**5 - 33*k**2*t - 4*k**2 + k*t + 2622*k + 2*t - 14 wrt k?\nAnswer: 30900*k**2*t + 16214820*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p - 331 + 5*p - 174 + 59 - 91)*(7*p**3 - 3*p**2 + 3*p**2) as j*p**3 + f + m*p + x*p**2 + o*p**4 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*z**3 + 169*z**3 - 176*z**3 - 117*z**3.\nAnswer: -304*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q**4 - 1\/20*q**5 - 61 + 0*q**3 - q**2 + 0*q. Let j(m) = -68*m + 65*m - 1 + 1. Calculate f(j(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-7 - (-18 + 12)) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -46*q**2. Let u(a) = a**2. Determine s(u(y)).\nAnswer: -46*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**6\/120 + c**5\/6 - c**4\/12 - 5*c**3\/6 + 3*c**2. Let x be w(-10). Solve -8 = 3*n - q, x = 2*n - 6*n - 3*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 21*w**2 + 261*w + 14. Let n be v(-9). Calculate the highest common factor of n and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2593058289 + 2.\nAnswer: -2593058287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((8\/436)\/2). Suppose -195 = -3*m + 3*z, 5*m = 3*z + 206 + r. What is the greatest common divisor of m and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 30. Let j = l + -5. Suppose -2*b - 2*w = -j*b + 85, 0 = 3*w - 12. Calculate the remainder when b is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6771 - -6770.0682. Let n = 0.0682 - x. Is n at most 2.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -341 + -5?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.42, 1, -5, 0 in decreasing order.\nAnswer: 1, 0.42, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 58. Let n = -14 - v. Let s = -7 + n. Which is the nearest to -0.2? (a) s (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37956 and 3.\nAnswer: 37956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 338, 330, 318, 302, 282, 258, 230?\n\"Answer: -2*v**2 - 2*v + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -793, -1579, -2365?\n\"Answer: -786*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faffqjaafaqffajaff. Give prob of picking 2 a.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/56)\/9 - (-2)\/(1 - -15)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/10 of a milligram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -1. Let h be (s\/(-1))\/(0 + -1). Let c(o) be the first derivative of -o**4\/4 - 2*o**3 - 2*o**2 - 4*o + 2625. Give c(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-104) - 1*(-5)\/(-40). Let v be 1230\/(-40) + (-6)\/8. Let k = v + 31. Which is the closest to k? (a) 1 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(7) + (-1*sqrt(112))**2.\nAnswer: sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.007971 (b) -0.1 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 2*b - 4. Let p be r(2). Let l(s) = 2*s**3 + 3*s**2 + s + 5. Is l(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98556843.\nAnswer: 3, 7, 11, 31, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 - 110*v**2 - 1040*v + 16750. What is t(15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 385003 divided by 2\nAnswer: 385003\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101720033 and 7587.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 7, c: 12}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302336 is divided by 75583.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 618 = o + 4*o, 382 = 3*o + 5*u. What is the greatest common divisor of 31 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002452 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5079875?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 68 - 20*h + 61 - 132. Suppose 0 = 3*p + 15, -3*p - 2*p = 2*x + 29. Is r(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (-3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvsgffvvgsv. What is prob of sequence fvv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -20, -38, -54, -68, -80?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23793 + -23796. Which is the third biggest value? (a) p (b) -0.4 (c) 3\/4 (d) -2 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.6193.\nAnswer: 3.0965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6409 + -4?\nAnswer: -6413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 8 (c) -1\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1495, -2965, -4415, -5851, -7279, -8705?\n\"Answer: -z**3 + 16*z**2 - 1511*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*u**3 + 62*u**2 - 40*u + 8.\nAnswer: -2*(u - 1)*(3*u - 2)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -363 >= -341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -17333347.91.\nAnswer: -17333344.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ibibbtitsbtsiit?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 8071*z + 62 = 8076*z, -11*y = z + 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + -1*sqrt(245) + (sqrt(245)*2 - sqrt(245))*5 + ((-1 + sqrt(5) + 1 - sqrt(125)*1) + 3)*-3)**2.\nAnswer: -400*sqrt(5) + 8025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 244\/121 (b) 0.1 (c) -0.3 (d) 364\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -4, -5, -6, -7, -8?\n\"Answer: -q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -12 + 7\/(-245)*-581?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 136d03 (base 15) to base 6\nAnswer: 32010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*m - 35. Let p be (-1)\/(15\/6)*-50. Suppose -11 = -4*r + f, 0 = -5*r - m*f + p + 25. Solve 0*t - g = -4*t, 0 = 2*t + r*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 44*v. Let w(q) = -9*q. Let l(x) = 2*k(x) + 11*w(x). Let p(g) = -18*g + 15. Let y(z) = -5*z + 4. Let o(m) = -4*p(m) + 15*y(m). Give l(o(d)).\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109311982*h*i - 4167941*i wrt h?\nAnswer: -109311982*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 74*l**3 + 2294*l**2 + 102*l + 3176. Calculate x(-31).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.322972l to millilitres.\nAnswer: 6322.972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 1:21 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 509.33 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -45.9, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 + 3112*u - 18 + 3032*u + 2*u - 2*u + u + 0 + 0 + u + (-4*u + 0*u + 2*u)*(-4 + 6 + 0) - 7*u + 3*u + 2*u.\nAnswer: 6140*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 7. Let q be z(-4). Find the second derivative of 4*p + q*p**3 - 8*p**3 + 3*p**3 - 17*p wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*c - 6*c + 7 + 2 + 9*c**4 wrt c.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.8 + 5. Let w = -0.2 + c. Let u(s) = -2*s - 25. Let h be u(-14). What is the nearest to w in -5\/4, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 - l - 1. Let c(b) = 6*b**3 - 3*b**2 + 5. Let o(p) = c(p) + 3*r(p). What is the smallest common multiple of 6 and o(2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 1503. Let j = b + -207. Let p be j\/10 - (-2)\/(-5). Solve -5*c - 4*x - 31 = -0*x, 3*c + 5*x = -p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -187644189 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/(-696)*4\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20\/3 + -1426\/213. Suppose g = -h + 4, 3*g = 2*h + 4 + 13. Suppose -5*z - 2*r - 12 = -g, -9 = 4*z + 5*r. Is a not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15240 or 15235?\nAnswer: 15240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -68032192 at most -68032190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 504.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(2\/15)*i*((i*(i*i**(-1))\/i)\/i*i)\/i*(((i**(-4)\/i)\/i)\/i)**(17\/2) assuming i is positive.\nAnswer: i**(-1759\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 59\nAnswer: 11\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) - 3\/(-12). Suppose -o + 4*j = 17, 2*o - 3*j + 19 = -f*j. Let c be ((-6)\/o)\/((-18)\/(-60)). Solve 3*q - 4*h = c + 4, 2*q - 10 = 5*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 29*x + 183. Let b be k(20). Solve -5*q = -3*y - 6, -3*y + b*q + 22 = 28 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 18227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 - 15*x - 241. Let o(l) = -2*l**2 - 8*l - 121. Let f(u) = -7*o(u) + 4*y(u). Is f(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*4\/(-60)*-6. Suppose z*i = -5*t - 26, -4*i + 2*i + 2 = 0. Let n be (-12)\/8*52\/t. Solve -5*g + 12 = -n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Let s = 31.8 - 32. Let t = s - -0.3. Is q at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**5 - g**3 + g. Let k(q) = -2*q**5 - q**3 - 8*q**2 + q. Let t(x) = -k(x) + z(x). What is the third derivative of t(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2891 = -73*z - 192*z - 771. Let k(i) = -7 + i + 0*i + 5. Let x(j) = -2*j + 3. Calculate z*k(n) + 5*x(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*o + p, 4*o + 5*p = 3*o - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66934 and -1027.\nAnswer: -68741218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 185475240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143950381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -10609\/7 = -1515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3031 - 2969. Calculate the remainder when 384 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3580*z**3 - 118*z**3 + 469*z**3 + 1035*z**3 + 231*z**3.\nAnswer: -1963*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z**3 + 45*z**2 - 13*z + 26. Let w(y) = -5*y**3 - 22*y**2 + 6*y - 12. What is -6*d(k) - 13*w(k)?\nAnswer: 11*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -96*u**3 + 51*u**2 + 27*u - 3. Let d(k) = 2*k**3 - 2*k**2 - k. Let w(l) = -54*d(l) - 2*x(l). Find the third derivative of w(o) wrt o.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716668 is divided by 4729?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times 66.9?\nAnswer: -18.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g)**(-12))**(1\/13) assuming g is positive.\nAnswer: g**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26209 = 2449*h - 338*h + 28677 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j = 12. Factor 4*u - u**4 + 2*u**4 + u**4 + 2*u**2 - 4*u**3 - 4*u**j.\nAnswer: -2*u*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -18*o. Let m(l) be the second derivative of l**4\/12 - l**2 - 7*l. Let b be m(-2). Let i(r) = -4 + 19 + 5*r**b - 15. Calculate n(i(f)).\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 2*p + 8. What is r(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5863.96 - -5864. Let r = 27 - 53\/2. Which is the biggest value? (a) -0.3 (b) 0 (c) r (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3658 or 3657?\nAnswer: 3657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z - 92664 = -62*z. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26316 and -26310 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37033\/2606 or 14?\nAnswer: 37033\/2606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -38, -89, -178, -317?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Suppose -11 = -5*l - 0*l + v, 4*l - 3*v - 11 = u. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iivvvgy. What is prob of sequence yiiv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4777 + -4689. Solve -7*n + z = 46 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 389, 659, 919, 1163, 1385?\n\"Answer: -m**3 + m**2 + 274*m + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18.32786 and 1.4908.\nAnswer: -16.83706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 806951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4200 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 + 4. Suppose -4*o - 3 = -p - 11, -32 = 4*p - o. Let k = -3 - p. Let q be d(k). Calculate the highest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -1.448?\nAnswer: 1.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:04 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zksszsslkhss. Give prob of sequence zl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**3\/3 - 9*a**2 - 5119*a. Give b(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h**3 + h**2 - 1. Let y be t(-1). Let o = 12 - y. Suppose -4*m = -o*m + 44000. Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 62*p**3 - 18*p**2 - 5*p - 1256. Let c(q) = -21*q**3 + 6*q**2 + 2*q + 419. Let z(k) = -11*c(k) - 4*v(k). What is the second derivative of z(g) wrt g?\nAnswer: -102*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttyytyytyytyy. Give prob of sequence ytty.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 1017692576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (6 - 10) - -6 - 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = b. Let m be (-1)\/(-2 - (-18)\/10). Sort m, b, -1 in ascending order.\nAnswer: b, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 - 5*h**2. Let f(q) be the second derivative of -11*q**5\/20 - 11*q**4\/12 - 19*q + 7. Give -3*f(k) + 7*m(k).\nAnswer: -2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.475443, -2\/13, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -2*l - t + 1, l - 3*t + 3 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 124.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 11120?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 356494007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 4, f: 6, n: 1, o: 3, k: 3}. What is prob of sequence kjnf?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -8, 3\/2, -2, -0.11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-2600*m**3 - 2625*m**3 + 310*m**3) + m**3 - 5*m**3 + 2*m**3.\nAnswer: 4913*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1235*s + 654*s + 16268 = 0 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 2*w - 1. Let v(b) = -6*b**3 - 15*b**2 - 15*b + 10. Calculate 6*g(t) + v(t).\nAnswer: -6*t**3 - 3*t**2 - 3*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4822 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.37, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 times 0.2\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5.469 (b) -0.4 (c) 0.05 (d) -14 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(4\/2 - -1). Suppose 167 = 3*a - 4*k + 8*k, -225 = -4*a - z*k. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 282838*u\/5 + 127397464\/5.\nAnswer: -2*(u - 141868)*(u + 449)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 20. Let w be s\/5 - 207\/(-45). Let o be (-6)\/8 + 65\/(-20) + 4. Solve 0*d + w*d = 3*q + 22, -5*d + 2*q + 18 = o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 4)*(-6 - 10 - 8) - 2 - 2 + 2)*(8*z - 23 + 23).\nAnswer: -208*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-88)\/6)\/((-6)\/(-36)). Let r = -43 - s. What is the greatest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149921929841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 25, 0 in ascending order.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**3)\/(j**10\/j) assuming j is positive.\nAnswer: j**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*x - 0*z + 20, x - 2*z = -10. Suppose 3*b - 18 = -x*b. Solve 0*p + b = -l - 2*p, l + p = -3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6204 and 734657?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 - 4*l - 1. Let q be a(-3). Let c = q - -2. Suppose -5*r = -2*s + 17, 3*s + s + 8 = -c*r. Put -2, 2, r in decreasing order.\nAnswer: 2, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 1. Suppose 15 = c + 4*c. Suppose 2*q - l = 9, -3 = -q - 3*q - c*l. Let r be ((-1)\/q)\/((-1)\/3). Determine u(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from sscrpccscpp?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(70\/(-25))\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-4 + 18 + 1 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeoooononnnoojonnjn. What is prob of sequence oe?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12837 times -0.2?\nAnswer: -0.025674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*((n\/n**(-1)*n)\/n)\/n))**(12\/11))**(-31) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 247148062\/(-147)*6\/(-4)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3816 + -2772. Calculate the greatest common divisor of 812 and a.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 8 = 3*b, -b + 3*n = 2*b - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y - 28 + 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:21 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 - 418*x + 5797. Calculate w(14).\nAnswer: 1121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664267 is divided by 85?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.678*0.5.\nAnswer: 0.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9) + 28\/6. Let r(k) = 2*k**3 - 4*k - 7. Is r(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Suppose 0 = -0*a - a + 3. Find the third derivative of 2*n**d - n**2 + 2*n**3 - n**a wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -30.86. Let p = 0.45 - g. Let d = p - 0.71. Which is the closest to -0.4? (a) -1\/7 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62, -113, -242, -485, -878, -1457, -2258, -3317?\n\"Answer: -6*s**3 - 3*s**2 - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 41. Give p(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -513a9 (base 15) to base 10\nAnswer: -257334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1506 - -1506. Let x = 17 + -15. Solve 5*s + x - 7 = r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16017.\nAnswer: 3, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 41*j - 18. What is the tens digit of g(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 741?\nAnswer: 740.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.279 + 1.579. Sort b, 0.17, -1, 0.4 in ascending order.\nAnswer: -1, 0.17, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644 and 676384?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 10*b**2 + 11*b. Let p be k(11). Let q(x) = p*x**2 + 3*x**2 + 4*x - 5*x**2 + 3*x**2 + 1. Let f be q(-4). Sort -4, f, -3 in ascending order.\nAnswer: -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5075 + -5071. Factor -6*y**2 + 22\/3*y + 2\/3*y**3 - 8\/3 + 2\/3*y**r.\nAnswer: 2*(y - 1)**3*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -661 + 730. Calculate the remainder when v is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -547068*d*w**3 + 10*w**3 - 3*w**2 - 605*w + 1 wrt d.\nAnswer: -547068*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by 302?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5350, -10106, -14856, -19594, -24314?\nAnswer: -29010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 829*f**6\/6 + f**4\/2 - 5894*f**3\/3 - 3206. Find the third derivative of h(i) wrt i.\nAnswer: 49740*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3157\/(-12) - 4\/(-16). Let x = 262 + f. Let s = x - -7\/12. What is the nearest to s in 1, 0.1, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + 4 + 26 + -1 + (217 - 213)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:44 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -186493, -186491, -186489, -186487, -186485, -186483?\n\"Answer: 2*g - 186495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/21 (b) -4\/7 (c) 5.567\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 5. Let g(i) = -i + 2. Let t(l) = -10*g(l) + 4*o(l). Let k(h) = 10*h. Give k(t(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z*z*z*z**(-1)*z)\/z*z)**(-48))**8 assuming z is positive.\nAnswer: z**(-1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 701589929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 2:30 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -181*r**2. Let z(f) = 7*f. Give s(z(u)).\nAnswer: -8869*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**2 + 2 - 13 + 5*h**2 + 11.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Let a = 10 - 6. Let u = a + -6. Sort d, 3, u in decreasing order.\nAnswer: d, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 231 - 41a?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 4. Let q be u(-4). Let p = 16 - q. Let z be 4 + 3 + -2 + 0. What is the highest common divisor of p and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 521 + 33. What is the smallest value in s, -2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17937 * 5.\nAnswer: -89685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80086882 - -0.5?\nAnswer: 80086882.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 times 0.1624?\nAnswer: -0.07308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 38. Let q = 97 + k. Suppose 4*z - 42 = -3*i + z, -i + 18 = 5*z. Calculate the remainder when q is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dydidydcdydddcyj. Give prob of picking 2 y, 1 i, and 1 j.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 0.16, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z + 4. Suppose 906 = -3*t + 924. Let m(w) = w + 1. Give t*m(h) - f(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*3*((sqrt(720) + -1)*4 - -6*(sqrt(720) + sqrt(720)*1)))**2*6.\nAnswer: -663552*sqrt(5) + 79633152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, n: 3}. What is prob of picking 2 t and 2 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 21. Let a(f) = 7*f - 38. Let x be a(6). Let i be 27\/6 - 4 - 2\/x. What is the biggest value in -4, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -1, 1, -25, -23 in decreasing order.\nAnswer: 1, -1, -23, -25, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 + 6*y + 4. Let s(c) = -10*c**2 - 6*c - 4. Let u(m) = -7*f(m) - 6*s(m). Suppose 8*w - 2173 = -1853. Suppose -48*d + w = -58*d. Calculate u(d).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z - 3. Suppose -7*c + 12*c + 2*s - 21 = 0, s + 3 = 2*c. Let y(w) = -12*w + 5. Determine c*y(l) + 5*p(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -51, -79, -109?\n\"Answer: -q**2 - 23*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = -d + 200, -3*d + 4*m + 579 = 0. Let a = 381 - d. Is 46 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 172*r**5 - 30*r**2 + 17*r**4 - 178*r**5 + 28*r**2 + (-3*r + 0*r + 2*r)*(-3*r**4 - r**4 + 2*r**4).\nAnswer: -4*r**5 + 17*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6871.\nAnswer: 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.61 to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 + 14733094*v**2 - 44199300*v = 0. What is v?\nAnswer: -7366550, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-69559)\/(-209) - (-4)\/22 - -4. Let m = -339 + s. Which is the nearest to m? (a) 5 (b) -1 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*w - 2*i - 67, -3*i = 18. Solve 20*s + 33*s = w*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/3 or 2\/93?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgg. Give prob of sequence gg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0 + 0)*((0 + 0 - 1)*(4 - 4 + 2*r) - 6*r + 7*r + 51*r).\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 10:51 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -3\/5, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = s. Suppose 3*b - s*c - 13 = 13, 2*b - 4*c - 20 = 0. Let j(g) = g**b + 0*g**2 - 4*g**2. Let d(f) = 2*f. Calculate j(d(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1099*d. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 114 + 3 = -5*z, 33*h = -3*z + 13 - 52 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2)*(-4)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 4. Let u be l(-6). Let n be 4\/u - 36\/21. Calculate the remainder when 36 + (n + 0 - -1) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2588377873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045269 is divided by 9089?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -137045\nAnswer: 137045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*2\/4 + -9. Let r = p + 17. Let w(x) = -x**3 + 6*x**2 - 2*x - 7. Let a be w(r). Solve -3*v + a = u, -4*v + 10 = -u + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:59 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144722985.\nAnswer: 3, 5, 11, 877109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/360 + p**5\/15 + 4*p**3\/3 + 7*p**2. Let i(s) be the first derivative of g(s). Find the second derivative of i(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 700 and 4700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*m = -147*m + 106 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -577 greater than or equal to -578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(12\/11)*j**(2\/25)*((j\/j**4)\/j)**(-2\/177) assuming j is positive.\nAnswer: j**(59194\/48675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 5, 2\/45, -3\/5, 123.77?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/589 - -1787\/1178. Let t = 0 - 0.1. Which is the nearest to t? (a) -1 (b) -2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 f when four letters picked without replacement from xooxysfxxfxyxoxxxxf.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*i + v - 7, 0 = -i - 5*v + 2. Suppose 4*d - 8 = -i*m, 4*d + 0*m - 4*m = 32. Solve -2*r + d = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 0.1, -0.02, 1.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:58 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-31)\/11 - 2\/11 - (9 + -45). Calculate the greatest common factor of 24 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -25*u + 1. Let g(h) = -12*h + 1. What is 3*b(l) - 7*g(l)?\nAnswer: 9*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -240.96 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 4, g: 2, z: 9}. Give prob of sequence zl.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-6 + 9 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -19. Suppose i*j = 9 + 6. Solve -22 = 3*k - j*c + 8*c, 20 = -4*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3452, 13883, 31304, 55727, 87164, 125627, 171128, 223679?\n\"Answer: 2*t**3 + 3483*t**2 - 32*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16782839?\nAnswer: 79, 109, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -1, -4\/23283, -3, 3\/5, -5, -2\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**2 + 3*f + 4. Let n = 22 + -22. Let i be (-3)\/((-3)\/4) - n. Is s(i) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**2 - 5*p. Suppose -4*c + 4 = -3*c. Let i(x) = 0*x - 4*x + 2*x**2 - 10*x**2 + 2*x**2. Calculate c*n(a) - 5*i(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031467.\nAnswer: 2031467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002317 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.214593 - -0.2121. Round j to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52, 79, 106?\n\"Answer: 27*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*l**4 - 3*l**2 + 103*l**4 + l**2 + 6*l**2 wrt l.\nAnswer: 1464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 30. Suppose 13*c + p = 16*c. Suppose -3*r + 1057 = c*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/(-12) + 4 + -8. Let l be -1 - (0 + (-14)\/8). Let h = -6.259 + 1.259. Which is the nearest to 1? (a) h (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 3. Let g = -4 - s. What is the smallest value in 1\/8, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*b = -18. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4770*q**6*t + 29*q**6 + q**3 + 108066*q**2*t - q**2 wrt q.\nAnswer: 572400*q**3*t + 3480*q**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10580 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1250) - sqrt(1250))\/(-4*sqrt(1000))*-3.\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16588)\/3509)\/((-10)\/(-55)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.3 - 29. Let u = -0.3 + m. Let b = -2.93 + u. What is b rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10041, -17347, -24653, -31959, -39265?\n\"Answer: -7306*s - 2735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1338, 2682, 4028, 5376, 6726, 8078?\n\"Answer: q**2 + 1341*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(1300))*-6*6)**2.\nAnswer: -311040*sqrt(13) + 6785856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 0.69\nAnswer: -17.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/69)\/(5\/(-24) - (-20)\/80).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 2:50 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709718931.\nAnswer: 3, 78857659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1439*v**2 - 1. Let s(j) be the first derivative of j**2\/2 - 11. Determine s(y(r)).\nAnswer: 1439*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 34. Let o be w(-12). Suppose -h = 5*q - 13, 0*q + o*h = 3*q. Factor -u**q - 7*u + 6*u**2 - 2*u + 4*u.\nAnswer: 5*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:19 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2602*o**3 - 2622*o**3 + 5237*o**3 - 8.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5 - 9. Let a be (-348)\/(-28) + 1*(-3)\/c. Suppose -5*x = -2*t + 21, -x - 3 = -2*t - 2*x. Solve t*p + 4*s = 12, -5*s + s = -2*p - a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/120 + u**5\/60 + 9*u**2. Let r(n) = -8*n - 2 + 0*n - 2*n**2 + n**3 + 9*n**2. Let d be r(-8). Determine b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 655, 726, 803, 886, 975, 1070, 1171?\n\"Answer: 3*b**2 + 62*b + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37633642981\/8572 + -4390299. What is the common denominator of l and -97\/16?\nAnswer: 34288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 548917*t**2 + 439750*t**2 - 5*t - 327554*t**2 - 38. Let w be h(6). Round w to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 321628205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-9)*m**(2\/11)*m)\/(m\/m**0*m)**43 assuming m is positive.\nAnswer: m**(-823\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263 a factor of 99733469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 11*b - 8*b**3 + 0*b.\nAnswer: -2*b**3 + 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**3 + 0*r**3 - r**3)*(-3255 + 9743 - 3245 - 53403*r - 3243) as g*r + b*r**2 + d + j*r**4 + p*r**3 and give j.\nAnswer: -106806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 7 (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b39 - -6?\nAnswer: -1b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k + k + 44*k + 25*k.\nAnswer: 101*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1092688236071 + -34?\nAnswer: -33.8907311763929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3923*v**5 - 46*v**4 + 360847*v**2 wrt v?\nAnswer: -235380*v**2 - 1104*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = m + 38, -m + 10 = -6*m. Find the common denominator of 13\/(-2)*54\/i and 3\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 - 114. What is the highest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/((-234337)\/234336 - -1). Let a = -237224 - l. Round a to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*k + 48 - 211*k - 51.\nAnswer: 165*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. List the prime factors of (2\/3)\/(f\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 151224.9 decades?\nAnswer: 1512249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) 1\/2 (b) -3 (c) -1\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 4354 and 4381 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0.254.\nAnswer: -5.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/270*9*-2*(-30)\/(-5)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1675, -1658, -1629, -1588, -1535, -1470?\n\"Answer: 6*z**2 - z - 1680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -101 - -2?\nAnswer: -ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 12908*m**4 - 12907*m**4 + 288*m**2 + 4*m**3 - 3*m - 2*m**3 + 1 in the form h*m**4 + j*m**3 + g + o*m + s*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -59*b**2. Let v(a) = -1839*a**2 + 6*a. What is v(o(p))?\nAnswer: -6401559*p**4 - 354*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 0*z - z + 0*z - z + (z - 3*z + 3*z)*(-5 + 2 + 1) + z - 6*z + 3*z)*(0*z**2 + 3*z**2 - 2*z**2).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 4090, 11 in ascending order.\nAnswer: -4, 2, 11, 4090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682446 - 43496 = -13*w. Let i = 689150 + w. Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 + 57384*l**4 + 3684129*l**3 + 14105214*l**2 + 17387592*l + 6909120 = 0. Calculate l.\nAnswer: -60, -2, -1, 19192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*i - 3691, 46*g - 49*g = -4*i - 3643. Calculate the remainder when 1245 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/7, 4, -44721, 3, 0, -5\/3?\nAnswer: -44721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -3\/50 (b) -0.7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-2)*-1*10. Suppose -x = -v - 2*v + 2*y, 2*v + y - 49 = 0. Calculate the greatest common divisor of 36 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 82 = -2*l, l - 2*k + 32 = 2*k. Let a be 6\/(-28)*l\/30. Find o such that -2\/7*o**3 - a*o**2 + 2\/7 + 2\/7*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 21*k + 2. What is g(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -2 (b) -419.6 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250368515*r**3 + 13896415*r**2 wrt r?\nAnswer: -1502211090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 801400 and 400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 367211 and 1833?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f - 5. Suppose 2*j = -o + 6, -3 = -o + 1. Let r be ((-2)\/(-4))\/((-8)\/(-16)). Let g(z) = 8*z + 2 - r - 7*z. Give j*t(u) + 3*g(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -224.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 539.1?\nAnswer: 12399.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.478927m?\nAnswer: 7478.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -596*i + 595*i - 4*z, 2*i - 4*z = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -46*u + 144. Let s(m) = 93*m - 291. Let a(n) = 1. Let x(h) = 4*a(h) + s(h). Let b(k) = 9*d(k) + 4*x(k). What is the derivative of b(c) wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 126 = -2*j, 3*g - 136 = 2*j + 49. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - -1) + 33\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416, 418, 420, 422, 424, 426?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 855 and 142785.\nAnswer: 142785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f - 2*f)*(4 - 4 + 3)*(4*f**3 + 0*f**3 + 2*f**3).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2123*d - 29663. What is y(-14)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*u - 90455 - 170320 - 445560. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1 - x + 2*x + 70*x**2 - 3*x. Let a be u(-2). Suppose 4*t - t = a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1249368*x - 7496243. Calculate g(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2. Let b(r) = r**3 - r**2 - 1. Let z(y) = -4*y**3 + 4*y**2 + 3. Let d(i) = 3*b(i) + z(i). Calculate 2*d(w) - v(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 18*i**3 + 1484*i**2 + 39392*i + 354346. Let a(g) = 2*g**3 + 165*g**2 + 4377*g + 39372. Let o(f) = 52*a(f) - 6*n(f). Solve o(j) = 0 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/((-1050)\/20))\/((-12)\/(-10))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -35. Let x be (-6)\/(-12)*(-3 + z). Solve x = -4*v - 4*n + 5*n + 12, 5*v + 3*n + 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -625*a**9\/252 - 2549*a**5\/60 - 8*a**2 + 8. What is the third derivative of o(n) wrt n?\nAnswer: -150000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81.8998ml?\nAnswer: 0.0818998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-36)\/(-90)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-322*41\/164)\/((-63)\/(-36)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 182, 450, 810, 1256, 1782, 2382?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8)*(-44)\/275. Which is the second smallest value? (a) p (b) -4\/3 (c) 4\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 1852\/3*n**2 - 2\/3*n**5 + 98\/3*n**4 - 662*n - 700\/3*n**3 + 246 = 0?\nAnswer: 1, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from vevvj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8716\/13 + 3713237\/5538. Find the common denominator of -103\/48 and n.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(176) + (sqrt(704) - (sqrt(704) + 2)**2).\nAnswer: -706 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (762*x - 204974 + 204974)*(-2 - 2 + 7)*(3 - 3 - 2*x**4).\nAnswer: -4572*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/2 - 9*n**2\/2 - 49*n\/2 - 39\/2 = 0. Calculate n.\nAnswer: -3, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 17568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-45))\/((-100)\/250)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-9) + -1 - 864\/(-486). Solve -5*m + 9 = o*j, -4 + 25 = -5*j + 2*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 34*f**3 + 7*f**2 + 7*f - 7. Let t(x) = 17*x**3 + 4*x**2 + 4*x - 4. Suppose 49*a - 252 = 13*a. What is a*t(b) - 4*r(b)?\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(4\/(-5 + 17)). Let t be ((-6)\/(-4) - w)*(4 + -10). Suppose -11*a + t*a = -236. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/195*5\/(-5) + (-66)\/663?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5484 - -847. Calculate the greatest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvanvlpvnsaavppapna. Give prob of picking 2 l.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(((-12144)\/128)\/23).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 1764.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*d + 448 - 822 = -8658 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539.626374 nanoseconds to weeks.\nAnswer: 0.000000000000892239375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196939413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**4\/16 - f**3\/8 + 21*f**2 - 830*f. Factor j(o).\nAnswer: -3*(o - 7)*(o + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 + -0.7. Let n(x) = 7*x - 7. Let s be n(8). Let w be 5\/(-7) + 14\/s. Which is the smallest value? (a) 0.9 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*4\/48 - 48\/24?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 41 = -5*c - n, 5*c + 25 = 5*n. Let b(q) = -53*q + 482. Let g be b(9). Put g, c, -4 in descending order.\nAnswer: g, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-177)\/(-118))\/(1*2\/32). Calculate the greatest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**4 - k**2\/2 + 4. Determine f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24327278399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 - -5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 2. Suppose 0 = -5*h - 2 - 23. Let d be s(h). Suppose 4*i = 4*k + 16, k + 4*k + 3*i - 12 = 0. Put 5, d, k in descending order.\nAnswer: 5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7087 or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2. Let d(j) be the second derivative of j**2 + j. Let n(c) be the first derivative of c**2\/2 - c - 4. Let v(t) = d(t) + 2*n(t). Give v(q(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 371567 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 286927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -15. Is 2 - d - -2*1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*u + 460, 0*u - 5*u + 2*s + 457 = 0. Let j be (u\/(-7))\/(-1 + 0). Suppose j*r - 8*r = 1095. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 12*f + 1. Let x be z(12). Let w be (-4)\/(-12) - x*(-66)\/(-9). Let o = w + 4. Let c(m) = -4*m - 4. What is c(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + l - 2*l = -74, -h = -l - 16. Suppose -4*b = -9*b - h. Is b + -2 + 2 - -63 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.3 - 2.3. What is the closest to -2\/7 in -1\/6, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -7110 and -7110 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16656*m**3*x**3 + 118*m**3*x**2 - 9*m**3 + 11*m**2*x**3 + m**2 - 2*m*x**3 - 5*x**2 wrt x?\nAnswer: 99936*m**3 + 66*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {y: 2, i: 3, u: 1, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/27)\/(6\/(-10)). Let r = 1\/18 - j. Which is the closest to -2\/3? (a) -1\/8 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 2:15 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**5\/10 - n**4\/2 + n**3\/6 + 3*n**2\/2 + 2*n + 851. Give s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 9784733 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -7*z + 12*z + 9020, -9020 = -4*q + 2*z. What is the lowest common multiple of 41 and q?\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.3 (b) 0.2 (c) -2\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-90)\/40 + (-105)\/12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17170258 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33122 + -2200200?\nAnswer: -2112023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.1 (c) 2\/17 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9366 + -9363. Solve -x = 4*x + d*o - 34, 2*x - o = 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - k - 46 = -130, 5*v - 140 = -2*k. Suppose 0 = l - 2, -2*b + 17*l + v = 14*l. What is the remainder when 63 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -161, 534, 2929, 7882, 16251?\n\"Answer: 143*r**3 - 8*r**2 - 282*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 6*z**2 - 62*z - 151. Give b(12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s**3 + 0 - s**2 + 0*s**6 + 0*s**7 + 0*s + 0*s**5 - 1\/336*s**8 + 1\/24*s**4. What is the second derivative of l(v) wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.53 - -42.53. Let i = y + -40.2. Round i to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13*((-13)\/13)\/(3 - 2). Does 2 divide 30\/(-195) - (-3 - (-1354)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (4 + -32 - (8 + -27))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 30 (b) 1 (c) -1 (d) 0.2 (e) 0.3 (f) 0.9 (g) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 7) to base 9\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 9*t + 19. Let o be m(-8). Let s = o + -9. Calculate the highest common divisor of 14 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 4. Let w be f(3). Solve -w*z + z - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 192 + 33. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = 4. Let j = -33 + 34. Is w bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahnnanqihccccnqccanq. What is prob of sequence hicn?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*n + 44 = 0, 592*n + 50 = 597*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 210300 (base 7) to base 3\nAnswer: 1211121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -30.0225. Let x = -1414.0225 + s. Let v = x - -1414.0667. What is v rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46.2 and 4?\nAnswer: -184.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - 0 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -349383.5 and -0.12.\nAnswer: 41926.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91492 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let v(x) = 23*x - 24. Let h(g) = -22*j(g) + 2*v(g). Let c be h(2). Solve 0 = 3*f + 2*f - 3*l + c, 3*f + 14 = 2*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**3 - 5*g**2 + 7*g. Let j be o(-7). Calculate the common denominator of 103\/12 and (-1 + 27\/24)\/((-21)\/j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -590 by -118.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 29*j - 14129. What is c(77)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z + 8. Suppose 2*d - 4 + 0 = 0. Suppose -2*s + 16 = d*i - 4*s, 2*s = -3*i + 24. Calculate the smallest common multiple of z and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003379 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 192.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15809 is divided by 7904.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145679?\nAnswer: 145679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + g + 8439, -16*a - 5*g = -14*a - 5609. List the prime factors of a.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**3\/5 - 5784*z**2\/5 - 597088*z\/5 - 2519808 = 0?\nAnswer: -68, -30, 1544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -3*b**4\/8 - 174*b**3 - 22707*b**2 - 1619. Factor d(p).\nAnswer: -3*p*(p + 174)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84184)\/72 + (-14)\/(-63). Let m = 2279 + h. List the prime factors of m.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 7*y**2\/2 + 14*y + 1. What is the tens digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 136864?\nAnswer: 410592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -0.058, 31, 2\/37?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/27*(-35 + -10 + 3)*-1.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -41*b**3 - b**2. Let o be (-4)\/(-24)*3*-2. What is the units digit of n(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - -1*sqrt(180)) + sqrt(180) - sqrt(180)) + -1 + sqrt(245) + ((sqrt(245)*-2)**2*2 - sqrt(245)) - (2*sqrt(1500) - sqrt(1500))\/(sqrt(108)*-3).\nAnswer: 113*sqrt(5)\/9 + 1959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02495889476 rounded to 6 dps?\nAnswer: 0.024959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*a + 132. List the prime factors of 1 - (-3 + 5 - a).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 66.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:38 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 3*j - 8 + 2*j. What are the prime factors of t(9)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2420991430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 952 and 256.\nAnswer: 30464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 50*w + 8. Does 43 divide q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(2310\/469) - 1\/11) + 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/7, -2.6, -0.4, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w - 8 = 38*w. Let u(v) be the first derivative of -4\/5*v**3 - 4\/5*v**5 - w + 0*v - 1\/5*v**6 - 6\/5*v**4 - 1\/5*v**2. Factor u(i).\nAnswer: -2*i*(i + 1)**3*(3*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 40*i**2 - 7*i - 3. Determine m(-2).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s**2 + 12*s + 12. Let r(b) = b**2 - b - 1. Let c(y) = a(y) + 12*r(y). Let x(l) be the third derivative of l**5\/60 - 2*l**2. Determine c(x(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-14)\/8)\/(1071\/(-952))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:59 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212700615 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2 - 12427*h + 38181?\nAnswer: 2*h - 12427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 413? (a) -1\/99 (b) 5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*r = 11, -15 = -6*l + 2*l - 3*r. Suppose -2*d + 32 = -l*x, 4*x - 36 = -5*d - 2. Solve -3*g = 2*m + d, -8 - 7 = 3*m - 4*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p, 0*p = -5*h + 2*p + 14. Let o(v) = v + 1. Let w be o(h). Solve 8 = -3*t + w*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7457, -14975, -22473, -29945, -37385, -44787?\n\"Answer: w**3 + 4*w**2 - 7537*w + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 680921f?\nAnswer: -680921c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -620.7906 and -0.02.\nAnswer: -620.8106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0386+-4.875851\nAnswer: -4.837251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 205 = -2*k - 0*c, -2*c = -4*k + 422. Let q = 1690 + k. Let i(g) = -21*g + 59*g + q - 1797. Let r(w) = 2*w**2. Calculate r(i(z)).\nAnswer: 2888*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*p + 9, 4*p = 983*m - 980*m + 13. Which is the closest to 4? (a) 3\/8 (b) -3\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let h = 0 - w. What is the third biggest value in 1\/5, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/525 and -19\/45381?\nAnswer: 1134525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4002805 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*30\/45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -51, -3 in decreasing order.\nAnswer: 0, -1, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 31*h - 4. Is v(-11) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -9\/4742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 9*i**2 - 11*i + 15. Let x be v(10). Suppose -g + x*g - 40 = 0. Calculate the remainder when ((-38)\/(-8))\/(2\/8) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628326 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 104. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14\/5)\/t**(-2\/51)*t**(-2\/25)\/(t\/(t\/t**9)*t) assuming t is positive.\nAnswer: t**(-16372\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 12:03 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t*t\/(t\/t**0))\/t*t*t)\/t*t))**(-3\/28)\/(t**(1\/17)\/(((t*t**(2\/3))\/t*t)\/t)))\/((t**(1\/6)\/t)**13)**(1\/40) assuming t is positive.\nAnswer: t**(1877\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, 5\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + 5*l - 2. Let b(u) = -13*u**2 + 16*u - 6. Let q(k) = 2*b(k) - 7*w(k). What is q(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 3*k + 4*k + k + k in the form f*k + u and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1569.\nAnswer: 3138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -294*f*r**3 + 304*f*r - 15763*f - 197233*r**4 + 9*r wrt r.\nAnswer: -1764*f*r - 2366796*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12292543717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.5, -1, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 4*c. Let l be g(-3). Suppose 4*y = -l*w + 95, 4*w - 20 = -0*w. Calculate the highest common divisor of 50 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 28643524.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8094427, -16188856, -24283285, -32377714?\n\"Answer: -8094429*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1. Suppose 2*y - 7 = -x. Suppose -a + 450 = m, -4*m = y*a - 1381 - 414. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g)\/g*g**2*g\/g**(-6)*(g*g**(-3))\/g*(g*g*g**(-2)\/g*g**(4\/5)*g)\/(g**(2\/7))**(8\/11) assuming g is positive.\nAnswer: g**(4848\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 w, 1 a, and 1 j when four letters picked without replacement from {j: 1, w: 1, k: 1, a: 1, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72490 and 32950?\nAnswer: 362450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 1240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 156 - 92948?\nAnswer: -92792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0*g**4 + 0 - 36*g - 14\/5*g**5 - 21\/2*g**2 + 0*g**3. Differentiate q(y) wrt y.\nAnswer: -168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -90, -201, -356, -555, -798?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, p: 5, n: 1, z: 4, s: 3}. Give prob of sequence zo.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o = -1. Let q(k) = -k**3 + 14*k**2 + 8*k - 97. Let x be q(14). Let c be o*3 + -17 + x. Solve 0 = -r + c - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1982 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5 + 16*c**4 - 6*c**3 - 44*c**2 + 32*c = 0.\nAnswer: -8, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/243534 and 79\/2220?\nAnswer: 2435340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 51534968 divided by 4\nAnswer: 12883742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*b - 0*b. What is the remainder when 31 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1390416 by 1047.\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -43 + v + 22 + 19. Calculate the least common multiple of 1 + 2 + 1 - 1 and c(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/4*44\/8. Suppose 3*a + 1 = r + 5*a, q = 5*r - 3*a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 13) in base 15?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 45118*p - 45118*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 761463 and 2.3.\nAnswer: 761465.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159064 and 198830?\nAnswer: 795320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/25553502 and -77\/255216.\nAnswer: 204428016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 divided by 587.\nAnswer: 131\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2 - 130*z + 5952 = 0.\nAnswer: -96, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*c + 105*c**2 - 19*c - 6 - 16*c - 24 - 3*c.\nAnswer: 5*(3*c - 2)*(7*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-84)\/(-1120))\/(1\/(-8)). Which is the third biggest value? (a) 0.2 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1349 + 16169\/12. Let m = -3937 + 31447\/8. Find the common denominator of g and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -135143946.\nAnswer: 67571973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 0*i**2 - 1\/12*i**3 - 1 - i + 1\/40*i**5 + 0*i**4. Let d(g) be the first derivative of m(g). Factor d(z).\nAnswer: z*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541169 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5999 - 3559. Let o = -1415 + c. Is o a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 81793332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*f + 24, -3*f + 893*x = 897*x - 26 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + 15 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3510 - -3515. Solve s + 4*b - 4 = j*s, -s + 5*b - 21 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3373*g + 251. What is the thousands digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 1. Let k be 42*(3 + a\/4). Suppose -b + k = b. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2866862+-0.05\nAnswer: -2866862.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -540 divided by -2.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 314407?\nAnswer: 314407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*v**2 + 11*v + 434*v**2 + 425*v**2 + 426*v**2 - 1711*v**2 + 284.\nAnswer: -2*v**2 + 11*v + 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 982757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908 less than or equal to 1020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:27 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/9 (c) 0.089\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -11*p**7\/210 - p**4\/6 - 2*p**2. What is the second derivative of i(l) wrt l?\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**6\/120 - y**5\/12 - y**4\/8 - 17*y**3\/6 + 5*y**2 + 10*y. Give z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-4 - -1)\/3). Let v be -2*(b + 0 - -3). What is the remainder when 42 is divided by ((65 - v)\/(-3))\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.18076218 - 30.560108188. Let w = 0.259125732 - q. Let h = w + -50. What is h rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43610 + -43083. Solve 559 - v = -4*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l**3 + 2306 - 2306)*(4*l + 0*l - 5*l).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + 0 + sqrt(1088) + -3).\nAnswer: -48*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9278622 is divided by 72.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4555579*f**2. Let z(v) = v**2. What is i(z(g))?\nAnswer: -4555579*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 3)\/((-90)\/4)*2142\/1428.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**2 - 61*o + 40. Let v be s(19). Suppose v*y - 25 = 10*y. Solve -y*i - 41 = -16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8)*75\/(-45). Which is the closest to -0.1? (a) 1\/2 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716362 is divided by 7648.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 2*z**3 + z**2 + 3*z**3 - 7*z**3.\nAnswer: -2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = 3*x. Let s(y) = 15*y**2 - 22*y - 1. Calculate the remainder when s(x) is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -25. What is the remainder when 38 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:41 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (15 - 15) + -4 + -14 + 23.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let k(f) = -4*f**3 + 3*f**3 + 0*f**3 + n - 9*f + 10*f**2 + 1. Let y be k(9). Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*(-6)\/(-68)*192\/144.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 657206 and 8448.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -51*s. Let p(f) be the first derivative of 2*f**2 + 4. Let k(c) = -27*p(c) - 2*z(c). Let x(r) = 3*r. What is x(k(j))?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**15)\/i*i\/(i\/(i\/(i**(-8)\/i))))\/((i**(9\/5)*i)\/i)**(-40) assuming i is positive.\nAnswer: i**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*m + 22, -2*m = -4*k - 3*m + 37. Let x = k - 0. Suppose 4*a + 6 + 2 = 0, -2*p - 4*a = 4. What is the greatest common divisor of p and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 17 = -s - 7*f, -3 = s - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-2 - (-96)\/1). Let o = 147 + w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 + 108\/6)\/(-15). What is the smallest value in -0.2, x, 0.6, 0.09?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 - -104. Suppose 3*s = 5*s + k*y + 1597, 9 = 3*y. What is the tens digit of (s + -5)\/(-4) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/7 - 8\/7*s - 2\/7*s**2 = 0. Calculate s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2070657 or 1?\nAnswer: -2070657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -3*z + 2*a + 16, -3*z - 4*a - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 250*k + 5. Let l(u) = -u**3 + 2*u**2 + 250*u - 4. Let r(f) = 4*i(f) + 5*l(f). What is the second derivative of r(t) wrt t?\nAnswer: 18*t + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 12*v + 66 = 0. Let l = 93 + v. Is 26 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.41 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 0*q**4 + 0 + 0*q + 0*q**3 + 1\/60*q**5 - 3*q**2. Let y(l) = -3*l. Give b(y(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 19*k**2 + 11*k - 15. List the prime factors of v(19).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17139091104 and -3.\nAnswer: 17139091101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -30021033020022?\nAnswer: 30021033020033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.428? (a) -1 (b) -285 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, u: 2, h: 1, v: 3, f: 1}. Give prob of picking 1 f, 1 h, 1 u, and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267 + 269. What is the third derivative of -39*h**2 + 47*h**4 - 12 + 14*h**y + 11*h**2 + 12*h**2 wrt h?\nAnswer: 1128*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19858202 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01100374522 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -178 - 237. Suppose s + 29 = -2*g + u, 5*s = -3*g + 95. Let p = g + -13. Calculate the smallest common multiple of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*z - 12 = 3*u, 3*u - 14 = -2*z. Let x(h) = -11*h + u*h**2 + 4*h + 7*h. Let p(b) = -11*b. Determine x(p(y)).\nAnswer: 242*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8402 + 8399. Which is the biggest value? (a) l (b) 2\/147 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - -2 - -2*1. Solve -4*n = u*o + 2, 4*n = o + 3*o - 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 42 = -26*b + 31*b, 0 = -b + 2*w for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -28 - (0 + (2 - 2) + -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-69))\/((-95)\/10925)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 2:53 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -14827?\nAnswer: -15\/14827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12719078 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seeessjdsededeegbjd. Give prob of sequence sgbs.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302990481?\nAnswer: 3, 4349, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 15*p - 130 + 92 + 2*p. Let v be b(-7). Solve k - 3*o = 14, -v*k - 3*o + o = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -846 + -53690?\nAnswer: -54426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2643231 divided by 4.\nAnswer: 2643231\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose 0 = 3*d - 4*s - 12, d + 3 = -s - p. Solve -2*t = 2, 0 = -3*j - d*t + 4*t - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose 4*l - c = -m - 1, 2*l - 1 = -m. Solve -o - 4*y + 15 = l, 3*o + 39 = 4*y + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2964 and 5928?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.972 + 0.028. Let o = -38.99924 + r. What is o rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/3495960 and -71\/5265?\nAnswer: 3495960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = v + c + 1, -3*c = -6. Solve 8*x**3 + 13*x**v + 6*x**3 + 2*x**2 - x**3 + 0*x**3 - 28*x**5 = 0 for x.\nAnswer: -2\/7, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.13 and 13132205.\nAnswer: 13132205.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/60 + v**5\/30 + v**4\/24 + 8*v**2. Suppose -n - 3 = -4. Suppose 3 = y + n. What is m(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -7525.\nAnswer: 1\/7525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 22*s - 49. Let v be g(3). Solve 2*r + 4*m = 3*r + v, 2*m = 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 180 = 19*d. Calculate the least common multiple of d and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 72 = 4*v, 3*d = -5*v + 35 + 72. What is the least common multiple of v and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(15*f + 4 - 2 - 1).\nAnswer: 30*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 12:12 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, 0, -2\/9, 30856\/1063, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpwtewwewwpwwwwwew. What is prob of picking 2 w?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t. Let p(v) = 13*v - 10. Let a(i) = 19*i - 14. Suppose -5*x + 4*h + 55 = 0, -3*x - 45 = -8*x + 2*h. Let g(o) = x*p(o) - 5*a(o). Determine q(g(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2 + 26051922*n\/5 - 104208168\/5.\nAnswer: 6*(n - 4)*(5*n + 4342007)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 189*k + 97*k + 90*k - k**2)*(-4*k - 3 + 1 + 3*k).\nAnswer: k**3 + 4*k**2 + k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 3, -0.1, 2, 0.1375?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0715 - -0.0715. Which is the fourth smallest value? (a) 16 (b) -5 (c) 0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 5*p**2 + 2*p - 5. Let u be f(5). Suppose -2*t = m - 7, -u*t = 4*m - m - 19. Let o = 58 + -57. Which is bigger: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 347*m - 2107. What is y(7)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 10*o + 11*o + 1 = 0, 0 = -6*q + 4*o - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8068*p - 2022*p - 79*p**2 + 40*p**2 + 31*p**2.\nAnswer: -8*p**2 + 6046*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(-9)*q*q*q*q**(-10\/9))\/(q**(-2\/21)*q**14))**(-9\/4) assuming q is positive.\nAnswer: q**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*t + 13 - 41, 0 = -3*p + 3*t + 132. Suppose 4*c = c + p. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/89348 and 5\/1774196?\nAnswer: 12419372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230820 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (241\/2)\/(3123\/78) - 3. Let j = v + 32885\/8328. What is the common denominator of j and -19\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 12*a + 1. Let r be w(1). Let p(l) = -l**3 + 4*l + 3. Let b be p(-2). Let o(v) = v. Let h be o(b). Solve 0 = h*x + 4 - r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397966.\nAnswer: 2, 193, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -35*b**4 + 9*b**3 - b + 6. Let h(r) = -12*r**4 + 3*r**3 + 2. Let n(g) = 6*f(g) - 17*h(g). Find the second derivative of n(t) wrt t.\nAnswer: -72*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in 4, -600, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, and 2 t when four letters picked without replacement from metefometteretm.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1133 - 2329\/2. Let x be 266\/(-8) + (-2)\/(-8). Let z = r - x. Which is the second biggest value? (a) 1\/4 (b) -2\/13 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 2 + 8*n - 2. Let u(s) = -4*s. Let y(f) = -4*r(f) - 3*u(f). Let j(w) = -w. Determine j(y(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 10) in base 2?\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*g - 111 = 0, 85 = 2*m + 7*g - 2*g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -3\/8 (c) -1\/7 (d) 0.04 (e) -1\/309 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 74*(-4)\/(-1 - 7). Suppose -35 - v = -4*m. Is 4\/(-6) + 1254\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 73 = 9. Let m = h - -3. Suppose 4*c + 0*c = m. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-154) + (-11)\/(-21) - 1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/254 and 145\/392628?\nAnswer: 49863756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025724327 rounded to 4 dps?\nAnswer: 0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -820*d - 816. Let t be m(-1). Solve -t*b - 25 + 34 = 3*r, -4*b = r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25609*n**4 + 2*n**2 + 4*n + 1552 wrt n?\nAnswer: 614616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let m(a) be the first derivative of 9*a**2\/2 - 5. Give g(m(i)).\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57922 is divided by 62.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1659*w - 8 = 1658*w. Solve -3*t - t = 4*c - w, 2*c = 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bd6 (base 14) in base 13?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 minus 1557?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 622 + 5?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.77 + 0.59. Let d = z + -1.46. Which is the closest to d? (a) 2\/11 (b) 3\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - l - 16 - 30 = 0, 5*f + 117 = -2*l. Let h = f + 145. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2144657 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 270, 272, 276, 282, 290, 300?\n\"Answer: s**2 - s + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70302 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4615\/6 + 2332\/3. Let o = g - 1476. Let r = -70 + o. What is the nearest to 0.1 in -1\/2, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1277*w - 3. Let f be l(4). Let d = 92029\/18 + f. Calculate the common denominator of d and (-21)\/6*7 - 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-44)\/330*25?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18923596 to the nearest integer?\nAnswer: 4350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 13 (c) -0.3 (d) 5 (e) 0.3 (f) -0.041 (g) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-311)\/7 + 4\/(-7). Let t = 63 + u. What is the hundreds digit of (-21)\/(-6)*t*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**3 + 37*b**2 + 5*b + 8. Let h(z) = -11*z**3 - 79*z**2 - 10*z - 17. Let i(a) = -6*h(a) - 13*p(a). Give i(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 16, 5, -67 in descending order.\nAnswer: 16, 6, 5, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 40 = -h. Suppose 2*g - 20 = -48. Let w be (2\/(-3))\/(g\/105). What is the greatest common factor of h and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -207 - -196. Let l be (36\/(-14))\/(v\/77). Suppose -4*f - 8 = 4*q, 5*f - 3*f - 5*q - 24 = 0. What is the highest common factor of f and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284*h + 1313*h + 551 = 0 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*12\/(-9)*9\/(-6). Is (-18578)\/(-20) - h\/(-140) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -825881\/188 - -4393. Let u(q) = -q**2 - 6*q + 15. Let d be u(-8). Is d greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4400 is divided by 2195.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + 1\/3. Let h(f) = 7*f - 298. Let s be h(43). Put u, -2, s, -139 in decreasing order.\nAnswer: s, u, -2, -139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117\/7 - 17. Let k(z) = 21*z - 1. Let w be k(-6). Let g = w - -385\/3. What is the closest to 0.3 in c, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1118154 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (-21 - -24) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.00317cm in nanometers?\nAnswer: 640031700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1194699 by -568.\nAnswer: -1194699\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3441841575 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 1918 = 1322. Is 217 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.2 times 32\nAnswer: 742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m. Let i(w) = -4922*w**2 + 329*w. Give x(i(o)).\nAnswer: 9844*o**2 - 658*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 895219 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 257 - 46 = 0. Suppose -3*h = u - 27, -4*u - 2*h = 3*h - s. Let m be u\/(-330)*(-10)\/(-4). Do -1 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 25. Let o be q(22). Let f = o + 21. Suppose -14 = -f*s - 2*b, -15 - 46 = -3*s + 5*b. Solve 0*v + s = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by -5\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + 8. Let m = u + -59.4. What is the nearest to -3 in 0.4, -1\/9, m?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 789 - 328 - 322 - 139.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -1 + (2*sqrt(84)*-3)\/sqrt(12) + 4)**2.\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -234828522?\nAnswer: 234828517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61212 is divided by 2354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 39. Let f be x(-10). Sort 1, f, -5.\nAnswer: -5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9633 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*m + 7278 = 0, 0 = s + 40*m - 38*m - 7278. What are the prime factors of s?\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 605*j + 3606*j + 781*j**2 - 1419*j**2 - 6549*j**2 wrt j.\nAnswer: -14374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 753419350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-130) + 8\/52 - 93\/(-135)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:38 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1412 and 325466?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003683455664 to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1074*d**3 + 254*d**2 + 3*d wrt d?\nAnswer: 6444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 10 - 10 + (-5*k**3 + 0*k**3 + 3*k**3)*(-2 + 0 + 0) + 3*k + k**3 - 3*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -13 (b) -9\/7 (c) 5\/3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20\/3 + -199\/30. Sort -2, f, 1\/4.\nAnswer: -2, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2380\/1428*(-165)\/(-50).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*q**5 + 4*q**4 - 15\/4*q**3 + 0 + 0*q**2 + 0*q.\nAnswer: -q**3*(q - 15)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48 - 239*o + 58*o - 217*o + 0 wrt o?\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 190675312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 47352\nAnswer: 1\/7892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2340?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4. What is the lowest common multiple of 1 and (n - 1)*8 - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 + 32*t - 31*t + t**3 - 2*t**3 - 24*t**2 in the form u*t**2 + o + y*t + g*t**3 and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 4*u**2 - 8*u - 6. Suppose -m = -3*c - c + 4, -10 = -5*c. Let w be ((-26)\/4 + m)*2. Calculate l(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(475) + -3 - sqrt(475)) - ((4*(sqrt(475) - (sqrt(475) + -1)))**2 + (sqrt(475) + 2)*-1)) + 5.\nAnswer: -14 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -271. Let a = 188 - n. Is a equal to -12\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:35 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -4173, 0, -33.\nAnswer: -4173, -33, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 51. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(-28)*-1)\/((-5148)\/8547) - 0 and 9\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -306 - -307. Let i(t) = 14*t**2 - 2*t - 3. Let u be i(-2). Suppose 58*m - u*m = k. Let y(s) = 5*s**3 + 2*s**2 - 1. What is y(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470108 is divided by 1576?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.35 + -0.05. Let q = 11 - 21. Let g be 60\/q*(-1)\/(-2). Sort r, g, -1 in increasing order.\nAnswer: g, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154609654 and 2634?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13 - 7*o + 9 + 4 + 10. What is the remainder when z(0) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from bgffijvg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 2. Let f be l(2). Let t be 2 + (1 - 1)\/(-2). Suppose 7*n - t*n = f. Solve -2*v + 0*v - 6 = n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2 + 2\/((-2)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 678?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 69*i - 501. Calculate g(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344645792.\nAnswer: 2, 109, 98809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6249.9 * 5.\nAnswer: -31249.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 596.828 and -8.\nAnswer: 588.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 260 and 240 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4188291 - -8?\nAnswer: -4188284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*q + 58*q + 78122 = 776*q + 474*q for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 23*n - 5. Suppose 385*c - 381*c - 100 = 0. Calculate the remainder when w(5) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a second in milliseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - b + 9 = k, 5*k = -4*b + 22. Suppose -3 - 3 = -3*t. Suppose -k*m + m = -t. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/6 + y**3\/6 + 3*y**2 - 9*y. Let p be o(0). Solve -4*j = -j - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -93, 205, 829, 1941, 3703?\n\"Answer: 27*a**3 + a**2 + 106*a - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 29 = -4*t + 3*r, 0 = -2*t + 3*r - 43. Let v be 2719\/(-35) - 4\/t. Let u = -77 - v. Sort u, -1\/7, 0.5, -3 in descending order.\nAnswer: 0.5, u, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1633347 + 191110811\/7523196282. Find the common denominator of 59\/18 and u.\nAnswer: 41454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183329062*n**4 - 2*n**3 + 6*n**2 - 31353*n + 72 wrt n?\nAnswer: 4399897488*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.8 + -1.2. Let s = w + 1. Let m = s - -5. Put 0.4, 4, m in descending order.\nAnswer: 4, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l - 6*l + 3*l)*(-l + 3*l - 3*l) + (-4*l + 3*l - 2*l)*(-l - 6*l + 4*l))*(-2 + 3*l**3 + 2 + (5*l**2 - 4*l**2 + 0*l**2)*(0*l + l - 3*l)).\nAnswer: 14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3066 = 2*n + u, 2*n - 2*u - 3036 = 0. Calculate the remainder when n is divided by 758.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -3*f**2\/2 + 2. Let v(j) = -5*j + 4*j - 6*j + 5*j. What is u(v(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**6\/30 - d**5\/10 + d**4\/12 - 3*d. Find t such that h(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**3 - n**2. Let x be a(-1). Let f = 2 - x. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115145183051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrbzvrbt. What is prob of picking 1 v and 1 b?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - p + 6*p - 15, -4*j - 2*p = -6. Solve j = 4*t + z - 11, -5*z - 1 = t - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 divided by 2?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 376848 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 898935 to the power of 1\/2, to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(704)*-1 + sqrt(704))*-2)**2 - -5*((sqrt(704) + 2)*1)**2)*-6.\nAnswer: -21240 - 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 773 + -3877\/5. Suppose -12 = -4*o - 3*z - 4, 4*o + z = 0. Are p and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaacaappppgcg. Give prob of picking 1 c and 1 g.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 1 - (-3 - -4). Let k be 2\/(-2)*(n + 2). Suppose 7*x - k*x - 290000 = -4*d, 2*x + 4*d = 116000. Round x to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73047.3734 rounded to the nearest one hundred?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**3 - x**2 - x + 1. Suppose n - 3*n + 6 = 0. Suppose 0 = -2*q - n*q + 5. Let v be y(q). Solve 0*l + 3*l = -v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(((sqrt(275) - (sqrt(275) + 2)*3 - sqrt(275)) + sqrt(275) - -2*(1 + sqrt(275))) + -3))**2 + 4.\nAnswer: 44104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*a - 68*a + 429*a.\nAnswer: 166*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12011231 + 11?\nAnswer: 12011302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-125\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4 + 153480*f**3 - 1473637572*f**2 + 26488192320*f - 119140948224 = 0. Calculate f.\nAnswer: 9, 19176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44\/13 - -339\/104. Which is the biggest value? (a) -1\/18 (b) d (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1042.445\nAnswer: -521.2225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 61. Let o be p\/8 - (-133)\/28. Let c(s) = s**3 - 4*s**2 - 3*s + 1. Calculate c(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -77, -76?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13535 + 7472 - 965 - h - 2*h + 895.\nAnswer: -3*h + 20937","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, c: 3}. Give prob of sequence ii.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -288 (base 10) to base 12\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) 1\/4 (c) 29 (d) -1.1 (e) 0.1 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/4)\/((-3)\/88)*108\/(-972).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i - 5. Let s(z) = z**2 + 4*z + 2. Let h be s(-5). Let p be o(h). Let b = p - -87. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 20. Let d(o) = -53*o. Calculate d(y(b)).\nAnswer: 53*b**2 + 1060","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 17 = 7. Let m be (-6)\/9 - 8\/k. Let q be -2 + 0 - 28\/(-12). What is the closest to m in 4, 2\/11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*s + 69*s + 50*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3107 take away 250022?\nAnswer: -246915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3059, 3270, 3481, 3692?\n\"Answer: 211*n + 2848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - h - 6 = -3*r, 2*r + 4 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33625 is divided by 190?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 302, 1195, 2682, 4763, 7438, 10707?\n\"Answer: 297*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -1\/2, -0.7, -194, -2\/3, 3\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*o + 110*o - 25*o**2 - 4 - 143*o**2 - 56*o.\nAnswer: -168*o**2 - 5*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h + 13 = 3*k, 4*h + 19 = 3*k. Suppose -k*a + a + 28 = 0. Let d be (-10)\/((2 - 1) + -3). Solve 13 = -d*f - a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168712 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**3 - 2*h**2 - 2*h + 1. Calculate the remainder when j(2) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (152 - 152)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72369122.\nAnswer: 2, 7, 467, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1211211120 (base 3) to base 5\nAnswer: 2130310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 30*s**2 - 20*s - 120.\nAnswer: 5*(s - 2)*(s + 2)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09655 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i. Let r(x) = 50*x**2 - 8*x + 13. Let o(t) = 2*l(t) + r(t). Is o(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855205?\nAnswer: 5, 11, 89, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0, -8029, 13 in increasing order.\nAnswer: -8029, 0, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x + 8 = 0. Let w(k) = 204*k**2 + 11*k. Let l be w(5). Suppose -x*p + l = -2613. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 106, -5, -1\/3 in decreasing order.\nAnswer: 106, -1\/3, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, n: 1, j: 1, u: 2, z: 1, p: 4}. Give prob of sequence nuu.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57\/8 in 1\/2, -4\/55, 2?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/60 + 11*b**4\/12 - 89*b**3\/6 - 98*b**2. Let f be j(16). Solve 5*g - 3*p - f = 0, -p + 4 = g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-975)\/(-6)*400*2. What is q rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.5, 47, -0.2, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 209*j**6\/60 + 2*j**5\/5 - j**4\/4 + 1119*j**2. Find the third derivative of i(v) wrt v.\nAnswer: 2508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 3*z**2 + z - 2. Let r be m(2). Solve 2*f = 6*f + r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlwmweblj. Give prob of sequence jlww.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(432) + (sqrt(432) + (2 + sqrt(432) - sqrt(432)))*-2)*-1 + 4)**2.\nAnswer: 192*sqrt(3) + 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 - 2*c**2 - 1. Let k be 0\/(-2) - 16\/8. Is g(k) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from bbbbbbbbbbbbq?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451073063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 269*j. Let z(y) = 2*y**2. What is a(z(r))?\nAnswer: 538*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3346 + 4622?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:58 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 47 = 13*n, 1 = -2*d + 2*n + 2 - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:51 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 9. Is 4 a factor of u - (-7)\/((-7)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4513?\nAnswer: 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -0.06. Let w = r + 0. What is the nearest to 0 in w, 2\/7, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1240355.6 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42247551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.9. What is the biggest value in 3.8, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436548290 rounded to the nearest one hundred thousand?\nAnswer: 436500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4 + 0 = -2*d, 8 = 3*l - 2*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (11 - 11) - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/44 - (-6468)\/363. What is the highest common divisor of 63 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6070 and 109\/8498.\nAnswer: 42490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 303692512 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*f - 2. What is the smallest value in 3, -3\/2, 1\/2, f?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 8 - 0. Suppose -798 + 222 = -q*v. What is the highest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60b (base 12) in base 14?\nAnswer: -467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1678972 divided by -419743\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - 1.06. Let r = -0.365 + -0.035. Which is the nearest to i? (a) -1 (b) r (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:29 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 49 = 123. Calculate the highest common divisor of 258 and s.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j, 0 = 2*g - 4*j - 49 - 59. Let b = 6 + g. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*a*l**4 + 2*a*l**3 + 69*a*l**2 + 14205*l**4 - 2*l**3 - 5697*l**2 wrt l?\nAnswer: 528*a*l + 12*a + 340920*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1368 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 11:18 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 6. Let h be f(-3). Suppose 4*z + 200 = h*z. What is the greatest common factor of z and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opp when three letters picked without replacement from {p: 4, o: 4, g: 8}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15400618 is divided by 1283384?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 + -7.85. Let o = -7.96 - r. Let c = o + -0.04026. Round c to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)\/k*k**(-13))\/((k**1*k)\/(k**(2\/33)\/k*k)))**(2\/21) assuming k is positive.\nAnswer: k**(-5392\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2024396 meters?\nAnswer: 202439.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from dtuqxqd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2 + -28)\/3120)\/(4\/(-10)). Let t(v) be the second derivative of -15*v - d*v**4 + 1\/24*v**3 + 0 + 0*v**2. Factor t(m).\nAnswer: -m*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**4\/2 + d**3\/6 + 49*d**2 + 94*d + 41. Let o(f) be the first derivative of m(f). Differentiate o(x) with respect to x.\nAnswer: -12*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5, -t + w = 1 + 1. Let n be 5\/(-12) + t\/(-12). Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920) - sqrt(7920)*-2)\/(sqrt(20)\/sqrt(576)).\nAnswer: 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2083837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2055 + 2045. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/10)\/(150\/375). Suppose q*z = 10806 + 1202. Is z a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163, -330, -497?\n\"Answer: -167*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(4 - (-14995)\/(-3750)). Suppose 5*n - 5*b = t, -2*n + 3*b = -127 - 170. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1448947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzgw when four letters picked without replacement from {o: 1, t: 1, z: 2, g: 2, w: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*z = 12, -15*z - 18 = 2*v - 19*z. Let i(w) = 4*w**2 - w - 3. Determine i(v).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**2*z**2 - 223*y**2 + 42*y*z**2 + 5*z wrt z.\nAnswer: -2*y**2*z + 84*y*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1433 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 + 453\/5. Let o = 2.8 + 0.2. Which is the nearest to s? (a) -5 (b) o (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10260572 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + 6*m + 2. Let i(r) = -6*r**2 - 11*r - 4. Let y(b) = 3*i(b) + 7*u(b). What is the units digit of y(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 74. Let x = t - -27. Which is bigger: -4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.2 + 0.08.\nAnswer: -48.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(528)*-3)\/((sqrt(1452) + 1*sqrt(1452))*-4).\nAnswer: 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -284.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0414385647 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 27 = -3*q. Let z be 2\/(-3) + (-1042)\/q. Let r = z - 16387\/144. What is the common denominator of 133\/12 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1815 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3, -z + 49 = 3*z - 3*x. Let h = -13 + z. Let r be (-16)\/(2 - 6) - h. Solve 4*t = -r + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose -3*y + 19 = 5*k, -y - 8 = -h*y - k. Suppose -u = -y*m - 4, 0*m = -2*u + 5*m + 11. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*w - 14, -146*x + 3*w = -144*x - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2 = -1151*g + 1147*g, 2 = 2*g + 2*k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -363*u**2 + 10*u - 14. Let s(y) = -1091*y**2 + 30*y - 49. Give 7*h(q) - 2*s(q).\nAnswer: -359*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-84))\/((-5)\/(-17)) - (-19 - -21).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11236636 and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.8939t to grams.\nAnswer: 97893900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 3*t**2 + 3*t - 3. Suppose 3*m - 8 = -m. Give n(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + -1 + ((sqrt(208) + 0)*4 - ((sqrt(208) + -2 - sqrt(208) - sqrt(208))*-1)**2)).\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from {a: 1, m: 1, w: 1, b: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 3, -12, -39, -84, -153?\n\"Answer: -o**3 + 3*o**2 - 11*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2555218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7d41 (base 15) to base 13\nAnswer: c160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 57825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46342 and 10?\nAnswer: 231710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuzuuzuuuu. What is prob of sequence uzuu?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 13. Let q be ((-48)\/28)\/(-4*(-3)\/(-42)). Determine h(q).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 26*w + 23*w + 4*w**2 + 2*w**4 - 50*w as j + o*w**2 + h*w + p*w**4 + g*w**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1570989\/8 + 196944. Factor -d*p - 117\/8*p**2 - 1\/8*p**3 - 59319\/8.\nAnswer: -(p + 39)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -50*f + 32936. Calculate the remainder when f is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125531575*b**4 + 96453*b**2 + 1173*b wrt b?\nAnswer: -3012757800*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 239*l - 234*l + 8, -2*l = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - -2. Let o = 5 + -5. Suppose o*w - w + 25 = 0. Calculate the remainder when w is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 4 (c) 3 (d) -4\/9 (e) 2\/7 (f) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.293 - 3.142. What is the nearest to 0 in 0, m, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.1 in 6, -1\/5, 662, -1.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4137, 8256, 12365, 16458, 20529?\nAnswer: 24572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ab + 395?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 3) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = 5*x + 2, -x + 2 = 0. Suppose 5*f + 2*r + v = 2*f, 3*f + r = 2. Solve -2 - f = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 22. Let i(p) = p. Let m(g) = g**3 + 13*g**2 + 4*g - 8. Let d(z) = -5*i(z) + m(z). Let h be d(w). Calculate the greatest common factor of h and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -0.1. Let r = -307 + 444. Let t = r + -141. Which is the second smallest value? (a) j (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 3*l**2 + 7*l - 1. Let s = 163 + -99. What is the remainder when a(-5) is divided by ((-3)\/(-6))\/(4\/s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6314358 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)\/(u**16\/u) assuming u is positive.\nAnswer: u**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(336) + sqrt(189)*5)\/(sqrt(7)*-1*5 - (sqrt(700) - (2*sqrt(700) + sqrt(700) + sqrt(700)))).\nAnswer: 23*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 412 + 1609. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -576017\/22 - -26178. Find the common denominator of f and -79\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 29*u - 6. Let x be p(-7). Let l = 71 + x. Let t = 1107\/8 + l. Which is the second smallest value? (a) -0.1 (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4380 = 4*f, 0 = -4*f - 609 + 621. Does 61 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3389 = -3*p + 4*h + 3413, h = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/7 + 1026*n**2\/7 + 16992*n\/7 + 68736\/7.\nAnswer: -3*(n - 358)*(n + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104213 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, t: 3, a: 1, n: 5}. Give prob of picking 1 a, 1 e, and 2 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -30, -52, -74, -96?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p - 3*p. Solve o + p = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 399*o - 417*o + 396 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2955281 and 23\/11?\nAnswer: 32508091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1163*s - 2316*s + 440*s + 408*s)*(4 + s - 4).\nAnswer: -2631*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.3 (b) 0.5 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*g + 2*g. Let m be -10*(-5)\/40 + (-6)\/(-8). Suppose 0 = -m*i - 0 + 2, p + 2*i - 22 = 0. What is the least common multiple of p and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 2632*f**2 - 13210*f.\nAnswer: 2*f*(f - 5)*(f + 1321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 1. Let y = 13 + -8. Let k be n(y). Let f(b) = b**2 + 2*b - 1. Is f(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -2. Let a = f + 26. Is (6\/a)\/((-1)\/(-3)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + ((sqrt(133) - (sqrt(133) - (sqrt(133) - 5*2*sqrt(133)) - sqrt(133)) - sqrt(133))\/((sqrt(63) - sqrt(1008))\/sqrt(9)))**2.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.222207 and -2.\nAnswer: 0.444414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6163.53854 and -4?\nAnswer: 24654.15416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*a - 2651 = 58*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1901*b + 10*b**4 - 1901*b + 3*b**5)*(-5 + 0 + 1).\nAnswer: -12*b**5 - 40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 242016.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399 = 3*i + 6. Calculate the remainder when i is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54070804?\nAnswer: 2, 173, 78137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/3 (c) 5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43593159 from 0.4.\nAnswer: -43593158.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + -1056?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35058 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 256, 272, 294?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 5. Let r be n(0). Let p = r - 5. Let h = -852 + 851.96. What is the biggest value in p, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 372727661\/4 or 93181916?\nAnswer: 372727661\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 3163940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73\/2 - 36. What is the second biggest value in 0.1, -5.5, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuuyzuuwuykzyy. Give prob of picking 2 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t + 9. Let k(c) = -11*c - 8. Let g(j) = 6*k(j) + 7*r(j). Let q(p) = -11*p - 14. Let d(h) = -2*g(h) - 3*q(h). Differentiate d(s) with respect to s.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 f when four letters picked without replacement from xxnfxmmfnmmxxfx.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21032 at most 7812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283255930*i**3 - 456504822*i?\nAnswer: 1699535580*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 2*v - 1. Let p be k(-1). Let r = -2 + p. Let o be (-8)\/7*-2 - r. Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226 a factor of 1940574100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.028 + 0.028. Let h = -83\/3 - -28. What is the closest to k in h, 0.06, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 7553.05 in increasing order.\nAnswer: -1, 4, 7553.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -891*k**6 - 28073*k**4 + 5802*k**2 + 589*k wrt k.\nAnswer: -106920*k**3 - 673752*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/2 - 11*m - 2. Let u(x) = -19*x. Determine u(o(z)).\nAnswer: -114*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 5*z**6\/6 - z**5 - 45*z**4\/4 - 55*z**3\/3 - 10*z**2 - 8. Factor r(o).\nAnswer: 5*o*(o - 4)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5634 and 536482.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130441 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(21))\/sqrt(7) - sqrt(1200).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11857\/1056 + -305\/32. What is the common denominator of v and 49\/387?\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207.6 + 219. Let u = 9.7 - m. Are 4\/7 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*k**2 + 8 - 322*k**2 - 6 in the form w*k**2 + n*k + v and give w.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/70 and -139\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhl when three letters picked without replacement from hlhllzzol.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -17. Let g be 1 + -6 + r + 1. Is g less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 513, 518, 521, 522?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1432849488+1302\nAnswer: 1432850790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/3, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 26*q**2 + 32*q - 14. Let n be u(25). Calculate the greatest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1080) + (sqrt(1080) - (sqrt(1080) - (sqrt(1080) + sqrt(1080) + -4*sqrt(1080)*3 + sqrt(1080) + sqrt(1080)))))*-6)\/(sqrt(42)\/(sqrt(63)*-4)*-4).\nAnswer: 756*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*d**5 - 24*d**4 + 102*d**3 + 164*d**2 + 48*d = 0. What is d?\nAnswer: -4, -1, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/12 + 3*h**3 + 5*h**2\/2 + 16*h. Let q be z(18). Is q <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**2 - 2 + 4*y**2 + y**2 - 6 + 7*y. Let v be w(3). Find the third derivative of 114*x**2 - v*x**4 - 132*x**2 + 4*x**4 - 5*x**6 wrt x.\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/695859 and -58\/705.\nAnswer: 163526865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x + y + 239 = 0, 0 = 4*y - 20. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -668*y + 333*y + 348*y + 377 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1, -9, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 223*a**2 + 3. Let m be l(-2). Suppose -5*u + 5*w - 7*w + m = 0, w - 895 = -5*u. List the prime factors of u.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980.7414l to millilitres.\nAnswer: 980741.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2609.97693 to the nearest integer.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(8))**2 + -3) - ((sqrt(162))**2 + 5)) + 3*(sqrt(8) + 3) + (1 + sqrt(162))*1.\nAnswer: -142 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35353227*s**3 + 85328837 wrt s?\nAnswer: -106059681*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) 0.8 (b) -6 (c) 4 (d) -1\/20 (e) -1\/2 (f) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 8. Let j = 36 + -21. Let s = j + -11. Let m be (0 - 4) + s + -4. Give y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 220891.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -1) + 0 - -14. Calculate the greatest common factor of 88 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91b - -5?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f - f - 4*f + 12. Let k be g(-10). Solve -x - 6 = k*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r**37*r)))\/r*r\/(r**(-4\/9)*r))\/(r\/r**(-13\/7)*r*r\/r**30) assuming r is positive.\nAnswer: r**(4006\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:33 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47597.45ml in litres?\nAnswer: 47.59745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 2. Suppose 0 = -4*t - t + 5. Let d(b) = -14*b**2 + 20*b + 17. Let x(c) = -5*c**2 + 7*c + 6. Let w(r) = -6*d(r) + 17*x(r). Give t*n(u) + 3*w(u).\nAnswer: -3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzhh when four letters picked without replacement from vghhzgb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8755)\/(-4944))\/((-17)\/(-9))?\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Let d be (1 - (4 + -5))*o. Suppose -5*p = -4*p + d*p. Solve -3*j + j = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 6\/15*5\/2. Suppose 4*r = -h*r + 32. Solve p + p = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.812992 to two dps.\nAnswer: 1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1829, 4, 16, -269 in ascending order.\nAnswer: -269, 4, 16, 1829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2111 (base 3) to base 8\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w + 16 = 0. Let q = -4 - -6. What is the nearest to q in -6\/5, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/235 + 187\/2820. Sort 0.9, -2, d in decreasing order.\nAnswer: 0.9, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24878 - -298.884?\nAnswer: -24579.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l + 914. What is w(52)?\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 0*f - 11\/30*f**5 + 0*f**4 + 24 - 2*f**2 - 29*f**3. Differentiate w(p) with respect to p.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(9\/84*-2). Let g(b) = b**2 + 4*b - 31. Let u be g(p). Let i = u + -83. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**3\/6 - 7*r + 43. Let f(x) = -x - 2*x + 4*x - 23. Determine k(f(t)).\nAnswer: -t + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2781 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -102010000 (base 3) to base 16\nAnswer: -1fa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, e: 8, p: 2, w: 3}. Give prob of picking 1 j, 1 w, and 2 e.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 40 = -x, -13 = 5*y - 3*x - 73. Suppose 0 = 5*n - 2*n + 3, 5*n - 105 = -2*i. Let g = -12 + i. What is the remainder when g is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1696527 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {m: 5, b: 1, y: 2, s: 3, k: 1, g: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 1491, 3363, 5989, 9369?\nAnswer: 13503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144 + 180. Suppose 0 = -v*b + 91 + 53. Solve 3*a + 2*s - 11 = 0, 2*s - 1 = -b*a + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 3*o**5\/20 - 2*o**3\/3 + 4*o + 6. Let w(x) be the first derivative of c(x). Find the second derivative of w(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 1445753*n**2\/2 - 2891509*n\/2 + 1445755\/2.\nAnswer: (n - 1)**2*(n + 1445755)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -538, -813, -1114, -1447?\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9978*p**5 + 3*p**4 - p**3 - 128503*p wrt p?\nAnswer: -199560*p**3 + 36*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9075278449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - -3 - (19 - 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6377 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 7*r**2 + 2*r - 7. Suppose 5*d - 28 = 12*d. Let i(w) = w**3 + 4*w**2 - w + 4. What is d*z(f) - 7*i(f)?\nAnswer: f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + 201222?\nAnswer: 202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 3:45 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18268106, -36536206, -54804306, -73072406?\n\"Answer: -18268100*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*d**2 + 38 - 46 - 82 wrt d?\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 + 2. Let a be 8 + -5 - (1 + -1). Let p(k) = -k**2 + 0*k**3 - 4*k**a + 2*k**3. What is p(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3)*-4 + -3)**2.\nAnswer: -24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q**2 - 33 - 37*q**2 + 33.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 12) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**5\/30 + 4*i**3\/3 + 23*i**2. Factor j(p).\nAnswer: -2*(p - 2)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*s - 2*h - 10, -8 = -5*s + h. Let k = 2 + s. Solve 2 = -j + k*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -7) + (-981 - -1037)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1606952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2561468)\/(-248))\/227*1\/((-7)\/(-4))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18852223018 plus -0.5?\nAnswer: -0.68852223018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -161\/321, 2.1, 1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + 52*q**3 - 4*q**2 + 6*q**2 - q**3. Let u be r(1). Let h = -29 + u. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let f be 2\/5 + 0\/(-2). Let l(s) = 3*s**3 + 10*s**2 + 7*s + 10. Let x be l(-3). Which is the closest to f? (a) -1 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 28) + (11 - 1) + -4 + -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1113 + 52*t + 451*t + 1113 as z + n*t and give n.\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + (-2 + -141698)\/(-13) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -2, 13, 2, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 7:25 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 187217 (b) 2 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r. Let a(f) = 213361*f. Calculate a(k(i)).\nAnswer: -640083*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 9. Calculate o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89824104277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.2 and 0.23?\nAnswer: 5.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1239 (b) -0.005 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*u - 479 = -a, 5*u - 481 = 2*a. Let w = a + 211. Is w less than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*n + 5*q, -6*n + 9 = -7*n - 3*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 + (-18)\/(-14). Let g(k) = -k**2 + 3*k + 2. Let n be g(3). Suppose z + j + 0 = 0, 4*z - 8 = -n*l. Solve 0 = a + a + l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.36 in 0.2, 2\/15, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + 10\/(-4) + 52 + 2987\/(-58) + -9.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(325) + (sqrt(325) - -2*sqrt(325)) - (sqrt(325) + (0 + sqrt(325))*-6) - (1 + -4 + -1 + sqrt(325)))*-1)**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341939504 less than -0.5?\nAnswer: -341939504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18493978 divided by -9246989.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = -4. Find the common denominator of (-2)\/(-6)*(-2 + 66) and 0 + y + 21\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -4*r + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 1 - -1)*2. Let h be (c\/(-7))\/(9\/21). Let p = 0 - -0.2. Sort h, -1\/4, p.\nAnswer: -1\/4, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/8)\/(26\/4) - (-90)\/585. Which is the nearest to t? (a) -1\/4 (b) 4 (c) 5 (d) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3765318399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvuwxxwjvjwxvzu. What is prob of picking 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 565, 1116, 1653, 2170, 2661, 3120, 3541?\n\"Answer: -k**3 - k**2 + 561*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -i + 24, -3*i + 5*i + 4 = -3*s. Suppose 1 = 3*x - k, 7*x - 3*k = 3*x - 7. Sort i, 1, x in ascending order.\nAnswer: 1, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34922? (a) 5 (b) 0.4 (c) 2\/7 (d) -0.4 (e) -3.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 5}. Give prob of sequence jyy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/30 + 125*d**4\/12 + 348*d**3 + 6*d**2 + 78*d + 2. Solve v(s) = 0 for s.\nAnswer: -116, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4*a, 0 = -a + 2*a + 5*b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4172 = -f - 4181, 0 = -82*f + w - 573 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 3:08 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 6 + 0*w**2 - 3*w**2 - 5 in the form f*w**2 + y*w + o and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4980 by -21206.\nAnswer: -2490\/10603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 + 46 = -155*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2154*c = -2122*c - 32 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4180 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p**(-1\/7)*p)\/p)*p**(-25) assuming p is positive.\nAnswer: p**(-167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/12 + 7*i**3\/6 + 9*i**2\/2 + i. Let j be t(8). Suppose -5*c - j = -31. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11202 (base 4) to base 15.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -23. Which is the biggest value? (a) 5 (b) q (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 30*u**3 + 27*u**2.\nAnswer: 3*u**2*(u - 9)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105521623 is divided by 1333.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/25 - (-84)\/15. Let n(r) = o*r**2 - 12*r**2 + 6*r**2. Let i(c) = 21*c**2. Give i(n(t)).\nAnswer: 21*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 296 + -113. Suppose -3*k + t = 3. Suppose -2*s + 6*s + 4*v = k, s - 5*v - 21 = 0. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7069 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 323002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlllwl. Give prob of picking 2 l and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -464*w - 84443. Give b(-182).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10310341 (base 5) to base 4.\nAnswer: -111202131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11144.0696+-127.9352\nAnswer: -11272.0048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2664884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 4*m**2 - 2*m + 6. Let w be j(-3). Solve -4*p - k = -w*k + 18, 2*p = 2*k - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 14. Let x(h) = 12. Let b(w) = 6*f(w) + 7*x(w). Let g(r) = -267*r + 2. Determine g(b(d)).\nAnswer: -3204*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dobtsbsv. Give prob of sequence ssv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.913 + -3610609.\nAnswer: -3610610.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 1271.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -48\/5*l**3 + 24\/5*l**2 + 32\/5*l + 14\/5*l**4 + 0 = 0. What is l?\nAnswer: -4\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 199781 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3 + -2 - -1 - 1). What is the second biggest value in -47, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5116373 and 2162.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 10*s - 13 - 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*k = 50 - 15, -k = -3*b + 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 15 = 34. Suppose 2*h - f*z + 8*z = 17, -2*h + 4*z = -12. Put 1, h, -2, 0 in ascending order.\nAnswer: -2, 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.12616 + -12981.97384. Let y = -12985.026951 - a. Let i = -0.073 + y. Round i to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709854 is divided by 245.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/18 - 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = l. Let z be 100\/(-28) + l + 2. Which is smaller: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50475*d**3*j + 30*d**3 - d**2*j + 46*d**2 + 2*d + 2*j - 44 wrt d?\nAnswer: -302850*j + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00792 rounded to four dps?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Let a(w) = -1 - 2*w - 4 - 5*w**m + 0*w - w**3. Let g be a(-5). Solve -2*s - g*c - 13 = 0, s + 3*c - 17 = 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.8 and -195.81?\nAnswer: 202.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, 117, 351, 803, 1545, 2649, 4187?\n\"Answer: 12*z**3 + z**2 + z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 12. Suppose 3*l - 5*d - x = 0, 5*l + 8*d - 4*d - 10 = 0. Suppose 12 = 4*j - s - 6, l*s = 2*j - 6. Solve 4*y - r - 6 = j*y, -4*y = -2*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l - 1. Let m = -9 + 6. Let w be ((-1)\/m)\/((-1)\/3). What is the units digit of p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v + 12. Let r be 3\/(-2 - 1) + v. Which is the closest to 1? (a) 3 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86c81 (base 13) in base 11?\nAnswer: 15719a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*sqrt(275) + -4)*-2 + -1 + 3)**2.\nAnswer: 600*sqrt(11) + 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 + 188*t - 2040 = 0 for t.\nAnswer: 17, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9075 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169284731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-49192)\/(-15048) + 448\/(-144)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 290 - 310. Let m be (-9)\/(-4) - (-2)\/(-8). Let h = r - m. Solve 0 = -h*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(2\/4 - 0). Suppose 0*s - r - 4 = -2*s, u = 4*r + 16. Suppose s = 4*t - 84 - 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7238, -14464, -21690, -28916, -36142, -43368?\n\"Answer: -7226*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 + 462. Suppose -260 = -4*j + v. What is the highest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:07 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1210 - 9*f**2 - 1210 - 2*f + (314*f + 198*f + 411*f)*(-2*f + 0*f + 0*f) in the form v*f + u*f**2 + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r. Let u(d) = -3*d. Let h(l) = 4*t(l) + 11*u(l). Let x(y) = -y**3 + 5*y - 3. Let j(k) = -5*h(k) - x(k). Differentiate j(m) with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 13. Let r be (9 - y)\/((-1)\/(-6)). Calculate the common denominator of 91\/20 and r\/(-4)*23\/30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h + 7*h - 5*h**2 + 11*h.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r + 2. Let p be s(-1). Suppose c - 30 = -p. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(1539) - sqrt(1539)))**2 - (-5 + sqrt(1539)*4).\nAnswer: -36*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + 38143632438392?\nAnswer: 38143632438391.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2\/13)*y**(-4\/3)*y**(-2\/3)*y**(2\/9)\/y*(y*y**(2\/3))**30*(y*y**(3\/4)*y)\/(y*y\/(y\/(((y**5*y)\/y*y)\/y))) assuming y is positive.\nAnswer: y**(21119\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -10. Suppose -5*d + 21 = -2*h - 58, v*d - 4*h - 22 = 0. What is the remainder when 49 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -671.3 - -671.36. Which is the fifth biggest value? (a) 0.3 (b) o (c) 3 (d) 0.07 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 51293?\nAnswer: -102586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6604 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v - 84 = 0. Which is greater: v or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(576\/(-27))*8\/10\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 8*j - 6. Let g be i(-3). Suppose 20*z - 16*z - 80 = g. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3 - 1050*j**2 + 859 wrt j.\nAnswer: 6*j**2 - 2100*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 692*s**2 + 696*s**2 - 1385*s**2 + 179 - 179.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -64. Put 0.2, r, 2 in decreasing order.\nAnswer: 2, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*r + 486 - 1738, 5*y = -3*r + 1565. Calculate the remainder when y is divided by 111.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -11*h**5\/210 + 16*h**4\/21 + 4*h**3\/7 + 63*h**2. Find b, given that z(b) = 0.\nAnswer: -2\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 14*v**2 + 14*v + 11. Let a be i(-13). Put a, 5, -1 in increasing order.\nAnswer: a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 386\/(-268)) + -3. Let t = o + 4\/67. Let a be (-6)\/(-21) + (-1)\/(-21). What is the closest to a in t, -2\/13, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124074, -246811, -369548, -492285, -615022?\nAnswer: -737759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21286*s + 1725626 + 834450 - 452762 for s.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18333 + 18330. Which is the third biggest value? (a) o (b) 5 (c) 7 (d) 1\/3 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4025133 by 3.\nAnswer: -1341711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**2 - 4*y - 3. Let r(j) = -8*j**2 - 5*j - 3. Suppose 0 = 5*d + 12*d + 51. Let g(c) = d*w(c) + 2*r(c). Calculate g(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + j + 64. Let w be q(6). Suppose r - 26 = -3*s, -4*r + 2*r = -3*s + 20. Suppose -2*o + w = -s. Do o and 20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001385003 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8666)\/(-163416)*18\/7\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 56*s**3 - 16*s**2 + 16*s + 16. Let u(j) = -11*j**3 + 3*j**2 - 3*j - 3. What is 3*f(v) + 16*u(v)?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -23*y**2 + 1015*y - 138. Determine p(44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 71 = -m, -2*m = 2*i - i - 29. Let n = i - 15. Suppose -w + 4*w + n*v = -25, 2*w = 2*v - 26. Round w to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26875 + -19113. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q**2 - 45*q**2 + 23*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*y - 56 - 51, 4*p - 7 = -y. What is the highest common divisor of y and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23587, 46825, 70063, 93301, 116539?\nAnswer: 139777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-10))\/(3812\/(-4765))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2. Let h = -53 - -56. Let l(o) be the third derivative of 0*o**4 + 0*o + 0*o**3 + h*o**2 + 0 + 1\/60*o**5. Determine i(l(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/3420 and -79\/375.\nAnswer: 85500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8511.2 - -0.5?\nAnswer: 8511.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 0 - 2 + 3 + 6.\nAnswer: -2*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -6\/11, -4, 15 in decreasing order.\nAnswer: 15, 8, -6\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27710963 and 41237?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8 and 0\/(-6 - -9) + (-85)\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 43 + -2 + -22 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -19. Suppose -22*o = -f*o - 204. What is the remainder when 26 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907837433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 9. Let g be 0\/1 - (r - 0). Suppose 4*j = 5*c + 35, g = -j - 3*c - 1. What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 16*i - 20. Let m be (-9)\/(-15) + (68\/90)\/i. Factor 4\/9*p**3 + 2\/9*p**5 + m - 2\/3*p**4 - 2\/3*p + 4\/9*p**2.\nAnswer: 2*(p - 1)**4*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*u - 10, 6 = 4*n + 2*u - 10. What is the remainder when 15\/(-2)*36\/(-15) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7512, -15045, -22600, -30177?\nAnswer: -37776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i + 13. Let d(o) = o - 1. Let s(c) = -5*d(c) - p(c). Let m be s(-29). Suppose m*r + 6244 = 25*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1 + -1 + -4 + 0 + sqrt(5))**2.\nAnswer: -24*sqrt(5) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 7*j**2 + 4*j - 3. Let w be o(-7). Let k = w + 34. Solve 0*x = k*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -45, -66, -77, -72?\n\"Answer: z**3 - 4*z**2 - 20*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = 0. Suppose 1 + 9 = -5*s, l = -4*j + 3*s + 82. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 15, 62, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3 + -3 + (sqrt(200) + -2 + sqrt(200))**2 + sqrt(200) - (-1 + sqrt(200) + -1 + -5)))*2.\nAnswer: -160*sqrt(2) + 1610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 15. Suppose -8*b + 45 = -35. What is the least common multiple of b and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-30)\/(-22))\/((-6)\/(-11)*3102\/564)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z**3 - 1 + z**2 + 0*z**2 + 6*z**3)*(-4 + z + 4).\nAnswer: -2*z**4 + z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*r - 3*c + 3, -5*c - 3 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 + 191*l + 79. Let c be a(64). Sort 5, 0, 2, c in descending order.\nAnswer: c, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 231 = 1533. Let p = u + -648. Solve -2*v + 1 + 2 = -p*b, 4*b = 2*v - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 40*i + 266. Determine y(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence susk when four letters picked without replacement from kussk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92.36566111 + 0.04.\nAnswer: -92.32566111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5518 - 5386. Let k be (-16)\/4 + (-700)\/(-7). What is the highest common divisor of k and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**3\/11 + 94*g**2\/11 + 32*g - 128\/11.\nAnswer: 2*(g + 8)**2*(3*g - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(63\/(-15))*(15246\/(-55))\/21\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 40. Let q = s + 32.6. Let d = q - 0.8. Round d to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89\/(-5) - (20 - (-21900)\/(-1125))*(-9)\/6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001737 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*j**3 + 12 + 10*j + 11\/4*j**2 = 0 for j.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12497605 to the power of 1\/2, to the nearest integer?\nAnswer: 3535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/(j\/j**(1\/8)))\/(j*(j*(j*j**(2\/5))\/j)\/j)**(-3) assuming j is positive.\nAnswer: j**(173\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + ((-6)\/5)\/((336\/40)\/21). What is the smallest value in z, 0.5, 2\/7, 4\/17, 13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5*2)\/5*-4. Let c(u) = 2*u**2 - 8*u + 26. Let q be c(a). Suppose 5*v - 270 = q. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -q + 346, -15 = -42*w + 47*w. Calculate the greatest common factor of 96 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150201040 + -4?\nAnswer: -150201044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, y: 1, k: 2, u: 1, q: 3}. What is prob of sequence kkq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 300 - 283 - (-32 - 1) - 12\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.2. Let h = -0.8 + 0.3. Let r = h + 0.2. What is the closest to d in -2, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**2 + 7*q**2 + 2*q**2 + 11*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49851*p + 57744 wrt p.\nAnswer: 49851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.1. Let v be (3\/2)\/((-336)\/(-64)). Which is the closest to v? (a) -2 (b) y (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*z = s - 18, 2*s = -3*z - 9. Let f = 18 - 12. Suppose -s*a + f = -0*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -3 - (13 + (3 - 36) + 7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:24 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 11*q - 16 = 0. Let g(r) = -17*r + 9. Let y(d) = -26*d - 1. Let x be y(2). Let m = 64 + x. Let s(b) = -6*b + 3. What is m*s(z) + q*g(z)?\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1405 + -692. What is the greatest common factor of g and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92721092\/8107905 + 446\/39. Let k = x + -902056423\/1871055. Let o = k + 485. Calculate the common denominator of o and -91\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.9. Let n = -54.029 + 54. Let h = n + 0.229. Which is the third smallest value? (a) y (b) h (c) 17 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g - 27. Suppose g*y - 4*y - 35 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2744 and -23\/343?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3220023 + -130?\nAnswer: -3220213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 - (193 + (12 - 25) - 38).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008561 rounded to 4 decimal places?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18304, 18572, 19010, 19618, 20396?\n\"Answer: 85*j**2 + 13*j + 18206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3 + -4*sqrt(931)*-2 - 5*-1*sqrt(931)*-1) + 2)**2.\nAnswer: -42*sqrt(19) + 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i**3 - 2 - 2*i - 2*i**2 + 17*i**2 - 17*i**2. Let z be a(-1). Solve y = -y - z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 5366 = -u - 32*a, -4*u - 5*a + 21539 = 0. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4\/5 (c) -2\/3 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 52382?\nAnswer: 471438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 7*c + 6. Let z be u(-7). Suppose -z*r - 4189 = -11425. Let h = 1859 - r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/3611 and 99\/2.\nAnswer: 7222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2 + 18*y + 20. Let q(n) = 5*n**2 + 19*n + 17. Let w(d) = 2*i(d) - 3*q(d). Let p be 49\/(-3) - (-2)\/(-3). Is w(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6628\/7 - 940. Find the common denominator of 13 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/9)\/(((-413)\/(-59))\/(1*-3))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25966*j**2 + 8665?\nAnswer: -51932*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 8, -4, 6, 3, -2\/9, 1\/8, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-5 - 2)) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -21328117?\nAnswer: 21328120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -470 - -458. Let k be 10\/y*(-96)\/160*0. Solve i + k*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359409 is divided by 2496.\nAnswer: 2481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 - 5*a**2)*(-2 + 0 + 4)*(-1 + 1 - 2*a**2).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4481302 or 4481300?\nAnswer: 4481300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Let l = d - 3.2. Let k = 67\/510 - 9\/34. Which is the nearest to 1? (a) l (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, 9, -0.3, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1840169\/13299 - -9320\/403. Let j = y - -115. Find the common denominator of -107\/30 and j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.042? (a) -0.4 (b) -1 (c) 1 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132452042.\nAnswer: 2, 167, 396563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5111, -22600, -51753, -92570?\nAnswer: -145051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d - d. Suppose -3*u + 17 - 2 = 0. Let a(l) = 2*l - u*l - 3*l. Give a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74964 + 74964 + 308*r.\nAnswer: 308*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 15) + 5 + 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwyw when four letters picked without replacement from {w: 4, g: 8, q: 4, y: 1, j: 2, z: 1}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.71605 decades in months?\nAnswer: 8485.926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(4*1\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2\/2 - 54*l + 111\/2 = 0. What is l?\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 0*m - 4\/3*m**3 + 2 + 0*m**2. Let o(z) = -8*z**2 + 7*z**2 - 3 + 3. Determine o(r(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6 and 29\/243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 8*u**2 + 48*u + 12. Let n be t(12). Let i be n\/(-9)*((-30)\/(-8))\/(-5). Is 4\/13 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.3, -1\/5, -1\/2, -18, -5, 3\/28, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217536?\nAnswer: 2, 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -16 - -527857) + -16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 20) + -31 + 12.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1680*p**3 + 609*p**3 - 13402*p**3.\nAnswer: -14473*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5176, -13754, -28042, -48034, -73724?\nAnswer: -105106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -614\/3 + 205. Let o(j) be the first derivative of 0*j - 4\/3*j**3 + 0*j**4 + g*j**6 - 5 + 0*j**2 + 0*j**5. What is the third derivative of o(b) wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13039*x**3 + 26075*x**3 - 30*x**2 - 13037*x**3.\nAnswer: -x**3 - 30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10414300422 (base 5) in base 15?\nAnswer: 101ae5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-163)\/(-240) - (-24)\/(-36). Let h(q) be the second derivative of 0 - 2*q + 0*q**2 + 0*q**3 + 1\/48*q**4 - l*q**5. Factor h(b).\nAnswer: -b**2*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 17*u - 12. Let x be h(-8). Let w = -51 + 138. Let c = w - x. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47705 and 0.\nAnswer: 47705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqfqfqqqfq. Give prob of picking 4 f.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277 + -261. Calculate the least common multiple of p and 166.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((33\/6)\/11)\/(4*16\/(-2176)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoooaaaooooaoaoooo. What is prob of picking 4 a?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 513*c**3*q + 83*c**2 - 6*q wrt c?\nAnswer: 3078*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1009 = -4*c + d, 4*c = -d - 367 - 656. Which is greater: -247 or c?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43113537.\nAnswer: 3, 4790393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 282991227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1323533790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cuuucucccuiucuccccc?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 11403224?\nAnswer: 11403242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49478?\nAnswer: 2, 11, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*f**2 + 307*f**3 - 220*f**2 - 220*f**2 - 221*f**2 + 152*f**3.\nAnswer: 459*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -84062, -84060, -84058?\n\"Answer: 2*s - 84064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -f (base 16) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 89?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23769 - 261783\/11. Let k = 2312\/77 + d. What is the third smallest value in k, -1\/8, -0.4, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272417 (base 8) in base 9?\nAnswer: 1144166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, x: 14}. What is prob of picking 2 v?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 1. Let b(r) = 146*r + 5. Determine -b(f) + 5*y(f).\nAnswer: -151*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239103459 by 34157637.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -789271*v**2 - 1535*v + 196?\nAnswer: -1578542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -21. Let k = 385 + -372.3. Let p = k + g. Which is smaller: 0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 + 0 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 271.21 - 274. Let y = o + 3.09. Suppose -2*x = x - 3. What is the nearest to x in 0.2, 0.09, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 - 3*v**3 - 4*v**3)*(-5*v**2 + 4*v**2 + 4*v**2) - 2*v**5 - 516*v**2 + 516*v**2 - 29*v**3.\nAnswer: -11*v**5 - 29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/6)\/(2\/4). Let o(g) be the first derivative of 3\/2*g**4 + 0*g**2 + g**3 + 1 + 5*g. Let c(j) = 7*j**3 + 4*j**2 + 6. What is t*o(l) + 4*c(l)?\nAnswer: -2*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 74. Factor -i - 3\/2*a**2 + 5\/2*a.\nAnswer: -(a - 1)*(3*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 4*g**2 - 225*g - 42. Give z(-17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 43, 42, 41, 40?\n\"Answer: -y + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 7:38 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(228)\/(sqrt(36)\/sqrt(3)) + 0 + sqrt(2299) - (-2*sqrt(684) + 1 + 0 + sqrt(19))**2) + -5.\nAnswer: -2305 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 7648*y + 3655744.\nAnswer: 4*(y - 956)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642420259.\nAnswer: 13, 17, 2906879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 11530?\nAnswer: -2\/5765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*d - 13 - 107, 5*d = -b + 40. Calculate the smallest common multiple of b and (-5 - 3)\/(12\/(-75)).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/14 - (-34)\/14. Suppose y*p - 5*p + 357 = n, -2*p - 5*n = -225. Suppose 7*x = 9*x - p. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1073064629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - q - 1 = -6, -2*t + 14 = 4*q. Suppose 1 = -2*f - 3*a - 0, t*f + 3*a = -6. Let x = f - 0. Is -4 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - sqrt(847)*-3))**2 + 1.\nAnswer: 7624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110011010 (base 2) in base 14?\nAnswer: -746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 995 in 0.3, 4, 3, 635?\nAnswer: 635","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100001011100011011 (base 2) in base 6?\nAnswer: 31443031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 38, -5, 4, 193, 88 in descending order.\nAnswer: 193, 88, 38, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5338 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccvc when four letters picked without replacement from nnvncnvnacacv.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 4249865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 5*j - 5. Let z(o) = -2*o**2 - 5*o - 5. Calculate 3*n(s) - 2*z(s).\nAnswer: s**2 - 5*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2672670 to the nearest ten thousand.\nAnswer: -2670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b - 3*h = -45, 5*h = b + 47. Let l = -7467 - -7465. What is the nearest to b in -2\/9, l, -4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 13 = 3*j + 20, 4*f - 29 = j. Put 4, 1, f in descending order.\nAnswer: f, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**4\/24 - 5*f**3\/6 - 2*f**2. Let m be c(7). Solve m*k = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/6 - 0)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 198666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -29398 * -8\nAnswer: 235184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/36)\/(1\/(-1))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -718, -5852, -19784, -46912, -91634, -158348?\nAnswer: -251452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 135*g**3 - 10996 - 2*g**2 - 2*g**4 + 22004 - 11006 in the form a*g**2 + m + r*g + h*g**3 + j*g**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q - 37*q - 42*q + 12 = 4*w, -10*w + 2*w + 30 = 2*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2. Let q(p) be the first derivative of p**5\/40 - 2*p**3\/3 - 1. Let s(c) be the third derivative of q(c). Give t(s(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-0.5\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17381184409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/10)\/(-3))\/((-440)\/(-100))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/508 and 13\/672.\nAnswer: 85344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 308431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 8. Let w(h) = h. Calculate w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(24\/(-32)*(-2)\/3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31812501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = -71*r + 121. Sort r, -6, -3, -1 in descending order.\nAnswer: r, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33945 divided by -11315\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**5 - 1 - 4*g + 18*g - 7*g - 16*g**4 + 25*g**3 - 19*g**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + b)*(-80*b + 21*b - 6*b) + (5*b - 3*b - b)*(-3*b + 0*b + 5*b) to the form w + i*b**2 + c*b and give i.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvvzvvvvdzvvvvddz. What is prob of picking 3 d?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4, -2\/3, -49, -0.121, 1\/5, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 + 14*w + 41. Is v(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.1700287 nanoseconds?\nAnswer: 0.00000000000060278575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 2150, 7260, 17210, 33614?\nAnswer: 58086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjmjjjjmjjjjjjmm. What is prob of sequence mmjm?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -30. Let k = o - -0.000168. What is k rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 517892675 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1462881 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 48*c - 0*c - 552. What is the lowest common multiple of 306 and c?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**0*l\/((l*l\/(l\/(l*l**(-6)))*l*l)\/l)*((l**2\/l)\/l)**(-8\/7) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13150, -13187, -13280, -13453, -13730, -14135, -14692?\n\"Answer: -4*p**3 - 4*p**2 + 3*p - 13145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 3437 - 1305 = 998 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 1*sqrt(132))*-6)\/(sqrt(12) + sqrt(960)\/sqrt(5) + sqrt(12)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48564097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let l(v) = 17*v + 5. Let y(a) = 10*a + 3. Let g(b) = -3*l(b) + 5*y(b). Let h(p) = 3 - 3 + 4*p. Let c(x) = -3*g(x) + h(x). Calculate u(c(d)).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - l**2 - 5*l + 2. Let c(z) = -10*z**3 - 4*z**2 - 15*z + 7. Determine 2*c(p) - 7*i(p).\nAnswer: p**3 - p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/3 + 82*x**3\/3 = 0.\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(3\/(-6) + 2). Suppose k*m = -4, 8 = -4*q + 2*m + 36. Let u be -5*2*q\/(-12). Calculate the highest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166376*p + 52375*p + 56999*p + 57004*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 227718? (a) 0 (b) -2\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 327962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19e9 - -4fd2?\nAnswer: 69bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.4668 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4647*h**3 - 4*h**2 + 138*h - 7077148 wrt h?\nAnswer: -13941*h**2 - 8*h + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 7*o - 2*l + 52, -2*l - 56 = -3*o. Calculate the greatest common divisor of 54 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6436552 and 34116?\nAnswer: 19309656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2255011439?\nAnswer: 41, 499, 110221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1063611 + -1226?\nAnswer: -1065140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -10. Let a = -7 + u. Suppose 0 = 4*o + 3 + 5. What is the nearest to a in -1\/5, o, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1176 - 3863*g**2 + 1252*g**2 + 1227*g**2 + 1242*g**2 - 2*g wrt g.\nAnswer: -284*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(80) + 0 - sqrt(80)) + sqrt(80))*5 - (-1 + sqrt(80) + -4))*-5 - (((sqrt(80) + -2*sqrt(80))*-6 - sqrt(80)) + sqrt(80) + -1)*-3)**2.\nAnswer: 448*sqrt(5) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)\/c**(6\/7))\/(c**9*c**(-9)*c) assuming c is positive.\nAnswer: c**(-125\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12926561, -25853121, -38779681?\n\"Answer: -12926560*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507204133?\nAnswer: 507204133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 4*x**2 - 4*x - 6. Let j be k(5). Let a(r) = -4*r**2 - 1. What is a(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + -2 + -1 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 g, and 1 l when four letters picked without replacement from gldldddgl.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(17) + 0 - -5*(sqrt(17) + -1).\nAnswer: -7 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**3\/3 - q. Let n(y) = -182*y - 66. Let h(w) = 66*w + 25. Let k(v) = 11*h(v) + 4*n(v). Determine i(k(t)).\nAnswer: -4*t + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - 5*m. Let j(l) = -6*l**2 + 6*l. Calculate 2*j(r) + 3*t(r).\nAnswer: 3*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 2*q + 9 - 21.\nAnswer: 2*q - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 910040 divided by 5\nAnswer: 182008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 43*w**2 + 15*w + 11. Let u(f) = 43*f**2 - 17*f - 11. Let i(j) = -3*u(j) - 2*y(j). Is i(-22) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 11 - 1 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 9086.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 2*t**2 + 3*t**2)*(-t - t - 7*t) + (-3*t + 5*t + 0*t)*(4*t - 3*t**2 - 4*t) + 2*t - 2*t - 2*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/91*((-16)\/432)\/((-1)\/6).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/21 + 642*x\/7 - 7800\/7 = 0 for x.\nAnswer: -975, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.058, 1, -3 in increasing order.\nAnswer: -3, -0.058, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1038? (a) 2 (b) -3 (c) 11 (d) 0.14 (e) -3\/7 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44b93 - 3?\nAnswer: 44b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 79 = 2*i, -8 + 5 = -s. Solve 38*w = i*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0*c - 4*c + 1 + 3*c. Let u be k(-4). Suppose u*f = 2*h + 173, 0*h - 21 = -f - 3*h. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5 - 22609*d**4 + 1573*d**2 + 8 wrt d?\nAnswer: -60*d**2 - 542616*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6760208?\nAnswer: 2, 7, 13, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1)\/1 - -2. Suppose f + o*f = 168. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798205.7l to millilitres.\nAnswer: 798205700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2 + 0 - 1. Let y(b) = -7*b - 17. Let j(m) = 4*k(m) + y(m). Let n(z) = -4*z - 7. Let d be 1\/3 - (-19)\/(-3). Give d*j(g) + 11*n(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -200*f - 308. What is the hundreds digit of p(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2 + (4 + 0 - 3)*(1 - 4 + 2) + 0 + 2 + 4)*(20*c - 20*c - 71*c**2) as s*c + a + b*c**2 and give b.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -336, -1, -5, 6, 272, 3 in decreasing order.\nAnswer: 272, 6, 3, -1, -5, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 20 = 22*g. Suppose -3*f + g - 1 = -i, 14 = 4*i - 2*f. Sort -9, 3, 2, i in descending order.\nAnswer: i, 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/3, 5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-690)\/(-45))\/(-23))\/(35\/(-3150))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.07812193 and 1.\nAnswer: -8.07812193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370 - 250. Let t(a) = -386*a - 3426. Let k be t(-9). Calculate the greatest common divisor of m and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/17))**(-11)*(j**(-24)*j*j)\/(j\/j**(2\/3)) assuming j is positive.\nAnswer: j**(-1007\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7668412 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 8967944*c + 18*c**2 + 11 - 8967944*c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 4. Calculate the least common multiple of r and 100\/(-28) + 4 - (-615)\/35.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12 and -1\/137166.\nAnswer: 274332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 2, y: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 7557.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40926.7 days to hours.\nAnswer: 982240.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w + 4*h + 26 = 0, -4*w - 4*h - 8 = 0. Solve -w = f + f + v, -f - 4 = 3*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-15)\/5 + -12772. Let x = 3039 - o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.2247m in micrometers?\nAnswer: 547224700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -55*r + 59. Does 12 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 835 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j - 4*o = 42*j - 5532, -13830 = -5*j - 3*o. What are the prime factors of j?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*(x**(-1)*x)\/x*x*x)*x**3*x**(-2)\/((x\/(x\/((x**(-11)*x)\/x*x))*x)\/x))**(-29))**(-20) assuming x is positive.\nAnswer: x**5220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37.41? (a) -2 (b) -0.4 (c) 28\/11 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3348 at most -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.2 - -5.4. Let y = 0.34 - 0.04. Suppose 0 = -58*u + 47*u. Which is the third biggest value? (a) u (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from ooxeeppxeeeox.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438710751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -284*h + 13486. Determine d(45).\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18963 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/20*44\/24\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43c6 - 75?\nAnswer: 4351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 23*a**2 + 4*a + 3. Let b be f(5). Suppose 0 = 4*y + 166 - b. What is the highest common divisor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1327 + 1333. Solve c - z = -9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1485 * -35.635\nAnswer: -52917.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -526*f**2 + 104*f**2 - 1 - 224*f**2 + 1 as d + g*f + c*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 8. Let f be a(-2). Suppose -564 = -f*p + 10*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsor when four letters picked without replacement from rrfsorsooosrzooooo?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -94 + 9 + 67?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 923, -3, -2, 5 in decreasing order.\nAnswer: 923, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/39, -0.19, 0.2 in descending order.\nAnswer: 0.2, 2\/39, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (-3 - (-3 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - 53. Suppose -9*t + 6*t = -l. Solve 0 = -t*b - 0 + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 + 1\/(-3). Let c(w) = -w - 2. Let n be c(-4). Suppose -4*h - 3*t - 4 = u, n*h - 3*t = 4*h + 8. Solve 0*v = -4*v - h*l - 18, -5*l - 35 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.75 (b) 0 (c) 2\/3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -700 - -33601\/48. Let p(q) be the third derivative of -q**2 + 0*q - z*q**4 + 0 - 1\/240*q**5 - 1\/24*q**3. Let p(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4860277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxuuuro?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u - 6. Let x be d(7). Let r be (9 - -1)*360\/x. What is the greatest common divisor of 108 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = 15*s - 19 - 156 - 1468 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150214909 a multiple of 2989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(13) - (sqrt(13) + 2) - sqrt(13)) + -5 + (1*sqrt(52) - sqrt(52))\/sqrt(4) + (sqrt(52)*6*5*3)**2).\nAnswer: -5*sqrt(13) + 2105965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(275) + ((-1*sqrt(275)*6)**2 - sqrt(275)) - (((3 + 2*sqrt(396) - sqrt(396))**2 - sqrt(396)) + -5).\nAnswer: -30*sqrt(11) + 9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4650 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a minute?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 102025 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -3\/2, 11, 690, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c - 1. Let k be r(1). Suppose 0 = -k*y - y + 10. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38.3659 and 0.5.\nAnswer: -19.18295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -3581*n**9\/504 + n**5\/60 + 1603*n**4\/24 + 476*n**2. Find the third derivative of r(x) wrt x.\nAnswer: -429720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23521757.8 and 5.\nAnswer: 23521762.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 763 + -763.339. Let c = -0.039 - d. What is the closest to -14 in c, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2821 divided by 20\nAnswer: -2821\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -1 - 14. Let q(t) = -t**3 - 24*t**2 - 46*t - 49. Let u be q(-22). What is the common denominator of u + -2*o\/80 and -65\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168878, -168871, -168866, -168869, -168886, -168923, -168986?\nAnswer: -169081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/6250 and -77\/150.\nAnswer: 18750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4518795km to meters.\nAnswer: 451.8795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6)*27\/2. Let u = 2 + r. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4212 + -2040?\nAnswer: -11302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/2)*(d**1*d*d)\/d)\/(d\/(d**(1\/6)*d)*d**(-3)) assuming d is positive.\nAnswer: d**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-32)\/240*(-5)\/18) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*((-12)\/(-18))\/(4\/6). Let -33*g**4 + 11*g**p - 2*g**5 - 77*g + 45*g**3 - 27*g**2 + 83*g = 0. Calculate g.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:26 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29221.09 - -29221. Which is the second biggest value? (a) 4 (b) -1\/3 (c) -3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56566 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6450, -14286, -22122?\n\"Answer: -7836*m + 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/120 + d**5\/10 - d**4\/6 - 7*d**3\/6 - 3*d**2. Let w(l) = l**3 - 19*l**2 - 11*l + 214. Let q be w(19). What is u(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 19.8 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5373230 + 3263802. Suppose -2*u + 29418844 = 3*b, -u + 18245529 = -3*b + 3536089. Let y = a + u. What is y rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 123791.\nAnswer: 123788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.056, 0, -0.3, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 818920*w**4 + 32*w**3 - 163916681*w.\nAnswer: 9827040*w**2 + 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssmmmm. Give prob of sequence msms.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.832319 litres to millilitres.\nAnswer: 2832.319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -56.\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15546*c**3 - 2 + 2 + 15607*c**3 + 22*c**2 - 22*c**2.\nAnswer: 61*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 51 + 21. Let y = k + -15. Suppose -28 = -4*b - o + 5*o, -b - y*o + 3 = 0. Solve -v - 2*c = -1 - b, 2*v - 2*c = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**3 + 3*k + 0*k - 4*k + 1 to the form f*k**3 + w + g*k + l*k**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -3 - (4 + 4 + -6). Which is bigger: -55\/16 or g?\nAnswer: -55\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2240, 4394, 6546, 8696, 10844, 12990?\n\"Answer: -p**2 + 2157*p + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c + 40973b?\nAnswer: 4096de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:42 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2410090320.\nAnswer: 2, 3, 5, 11, 773, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = -4. Suppose 2*m + 5 + 3 = -i, 3*m + 26 = -5*i. Let h be m\/3*(-10 + 1). Solve -o*d - h = -16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -18 + 0 + 0 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(5) - ((sqrt(5) - (sqrt(5) + -1)**2) + sqrt(5))))*-5 + 0.\nAnswer: -5 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggwwwwwgwggw. What is prob of picking 3 g?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = u - n, 3*u = 4*n + 118 - 350. Let j = 220 + u. Suppose j = 7*k - 165. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-4) + (-6)\/(-4). Suppose -5*i + 24 = -i - 2*k, -s*i + 4*k = -24. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**3 - 1378*w**2 + 50301*w - 903. What is c(303)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 53.2.\nAnswer: -55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {v: 3, w: 4, n: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -604, -610, -620, -634, -652, -674, -700?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -245, -227, -205, -185, -173, -175, -197, -245?\n\"Answer: -w**3 + 8*w**2 + w - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 20)*(-6)\/(-15). Let t(o) = o**2 - 7*o. Let a be t(5). Let y = a + 14. Solve 2*s = -n - k, -4*n - y*s - 12 = -0*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*m + 1816 - 33, 3*m = 4*q - 1432. Calculate the remainder when q is divided by 343.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79336?\nAnswer: 2, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 2*m. Let z be j(-2). Calculate the greatest common factor of 40 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15563062 plus 37.66?\nAnswer: 37.50436938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271 + 270.941. Let o = 5.951 - d. What is o rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - 6*u**4 - 2*u**4 + (-4*u**2 + u**2 + 2*u**2)*(1854 + 6*u**2 - 1856 - 55*u**2) to b*u**2 + m*u**3 + h*u + k*u**4 + q and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.79 - -0.79. Which is the fourth biggest value? (a) 1 (b) 0.4 (c) 5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51936372?\nAnswer: 2, 3, 367, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -24743827?\nAnswer: -395901232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1311968)\/80 - 4\/10. Round h to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18288154?\nAnswer: 2, 29, 315313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -86.003.\nAnswer: -87.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.7? (a) -5 (b) 3 (c) 1\/4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + f - 3625 = 0, 3*i + 0*i + 4*f - 2709 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4824668 + -0.2734809. Let z = 51 - 51.209. Let u = m + z. Round u to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45302843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, 23, 74, 125, 176?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36282933?\nAnswer: 3, 191, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 8*b - 3*b. Let h(v) = v**3 + v**2. Let g(n) = 4*n**3 - 13*n**2 - 9*n - 13. Let p(a) = -g(a) + 3*h(a). Is p(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d + 4*d)*(-33 + 22 - 8).\nAnswer: -57*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/12 - 5*f**3\/3 - 9*f**2\/2 - 5*f. Let j be d(11). Solve j*b = -3 - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 227 - 56 = 14*x. Suppose 0 = 4*h - 5*y - 140, 3*h - 48 = -5*y + 22. What is the least common multiple of h and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198500 and 3105334?\nAnswer: 776333500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73298653?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 210532732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 5*f + 0*f)*(0 + 2*f + 0) - 3 + 3*f**2 + 3 + (-3*f + 5*f - 3*f)*(-12*f + 25*f + 2*f)*(-4 + 1 - 1) in the form l*f + z + c*f**2 and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (((sqrt(12)*1)\/sqrt(2))\/sqrt(2))**2 + 0 + 2)*5.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14297580783327 less than -5?\nAnswer: 14297580783322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*f**3*m**3 - 3*f**3*m**2 + 13*f**2*m wrt m.\nAnswer: -690*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12 = 4*n, -6*w + 2*w = -16. Suppose 0 = 4*y, -4*y - 56 = n*p - 208. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/((-5)\/10). Let m be 1 + -1 + g - -16. Suppose -s + 9 = 2*s. Calculate the greatest common divisor of m and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 2. Let h be g(3). Let d(v) = -11*v**2 + 7*v - 10. Let k = -11 + 19. Let n(l) = 4*l**2 - 2*l + 3. Let f(r) = k*n(r) + 3*d(r). What is f(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127725 divided by -25545?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-24))\/(-6*(-80)\/72)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(1\/(-1) + 3). Suppose 3*m = -k*m - 36. Calculate the common denominator of (2\/(-8))\/(6\/m) and -54\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 2. Let x(c) = 20*c + 12. Let n(i) = i - 1. Let o(z) = -5*n(z) + x(z). Let t(b) = -6*o(b) - 51*p(b). Let f(a) = -a. Calculate f(t(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5758 + -252. Does 67 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*r + 4*y + 220, 4 = -y. Suppose -6*i + 215 = -37. Let u = i + r. Does 46 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. What is the units digit of 36*(-1)\/(-2 - x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.081 + 0.419. Which is the third smallest value? (a) -0.5 (b) -3\/7 (c) s (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 + 36 = 0. Suppose -3*i + d = -7. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78811957\/402 + 196050. Find the common denominator of 61\/4 and t.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/78898 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606*y - 37026 = 57728 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/7 - 5*x**2 - 323*x\/7 - 289\/7 = 0. What is x?\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 4. Let f be z(3). Let x be (2 + -13)\/(f\/(-2)). Let y = -8 - x. What is the remainder when 27 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)\/(k\/k**7))**(-1\/70)\/((k**2*k\/(k**(7\/2)\/k))\/((k**(2\/3)*k)\/k)**34) assuming k is positive.\nAnswer: k**(467\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -790724643*k**2*z**3 - 45*k**2*z + 3*k*z**2 + 94816*z**2 wrt z.\nAnswer: -4744347858*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6180.5 in 0.3, 2, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 0*a**5 - 2 + 0*a**3 + 0*a**4 + 0*a - 1\/3*a**6 + a**2. Find the second derivative of w(g) wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7*m - 45 = 0. Let j = -3\/196 + 407\/980. Factor -j*x**m + 4\/5*x**4 + 2\/5*x + 0*x**3 - 4\/5*x**2 + 0.\nAnswer: -2*x*(x - 1)**3*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 16*a**2 + a - 3324. What is s(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 7*r**2 - 3. Suppose 72*q = 34*q + 304. Suppose -13*b = -q*b + 40. Let s(v) = -2*v**3 - 20*v**2 + 8. What is b*k(i) - 3*s(i)?\nAnswer: -2*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2110192 and 63106?\nAnswer: 293316688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - ((5 - 12) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 486.0893 years?\nAnswer: 5833.0716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 15*d**3 - 2*d + 2. Let i(j) = 481*j**3 - 65*j + 65. What is -2*i(p) + 65*u(p)?\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773*y**2 - 406*y**2 - 349*y**2.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193456 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffmmfmmqmmmmffmfqm. What is prob of picking 3 f?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 821.2571ug in kilograms?\nAnswer: 0.0000008212571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*y + 4*n, 4*n = 7 - 3. Let f = -10 + y. Suppose f*k = 5*k, 5*m - 965000 = 5*k. What is m rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 76*b. Let p(j) = 11*j - 2. Calculate l(p(t)).\nAnswer: 836*t - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003566596 rounded to 6 dps?\nAnswer: -0.003567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2071, -2070, -2069, -2068?\nAnswer: -2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.97 + 4. Let p = t - 3.03. Which is the third smallest value? (a) p (b) -1\/7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3)*(3 - 4). Let w(k) be the second derivative of x*k**3 - k + 0*k**2 + 1\/3*k**4 + 0 + 1\/10*k**5. Factor w(s).\nAnswer: 2*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Sort -1, r, -2 in descending order.\nAnswer: r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3351452 (base 6) in base 10?\nAnswer: -170168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**3 - 3*s**3 - 5*s**3 + (-166*s + 8543 - 8543)*(14*s - 14*s - 5*s**2) to the form x*s**2 + y*s + i + z*s**3 and give z.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w + 55*w = -326 + 92 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3\/3 - t**2\/2 + 2*t - 2. Let p(j) = j**3 - 47*j**2 + 40*j + 273. Let f be p(46). Give x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0693 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 23567*w - 130. Is o(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from xzzezcr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.6 - 3.6. Let y = w - 32. Let d = y + 10.0064. Round d to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718424?\nAnswer: 2, 3, 29, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*y**5 - 52*y.\nAnswer: 1000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 40516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*g = -18, -228*g + 225*g + 20 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 5, 16014\/109, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 15. Let f be (-712)\/b*(-45)\/6. Suppose -6*i + f = -2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n. Let y(b) = 62507255*b. What is h(y(c))?\nAnswer: -250029020*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006017599 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -831, -833, -837, -843, -851?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7059544 is divided by 9326.\nAnswer: 9088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 2, k: 4, a: 2, l: 3, r: 1}. Give prob of picking 2 f and 1 j.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h - 4 = 0. Suppose -124*m + 119*m = -10. Solve -12 = h*x - m*y, 3*x + 10 = 4*y - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10720*x + 19. Is r(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553003673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7119604 * -0.2.\nAnswer: 1423920.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7e292 - 3?\nAnswer: -7e295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 - (-2 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 502596047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:44 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, l: 2, u: 3}. Give prob of sequence nnlu.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-84)\/7 + 9)*(-5)\/1. Suppose -80 = -u*v - v. Solve -4*m = -m - 3*g, -v*g + 18 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 7 = -2*f, f - 5*f + 5 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15*((-4)\/(-2))\/(-6). Suppose 0 = -2*a - w*d - 10, -5*d + 2 = -a + 12. Suppose 2*f - 53 + 7 = a. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13717*b**2 - 26709?\nAnswer: 27434*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -12*p**3 - 2*p**2 + 27*p - 3. Let j(h) = 16*h**3 + 3*h**2 - 28*h + 4. Calculate -2*j(v) - 3*m(v).\nAnswer: 4*v**3 - 25*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 17448735, 1, -5 in ascending order.\nAnswer: -5, 1, 17448735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283767?\nAnswer: 1283767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 197691, 6, -1\/6, 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + r + 0)*(0 + 2*r + 0) + 0*r**2 - 2*r**2 + 4*r**2 + (-r + 2*r - 2*r)*(3*r + 2*r - 7*r))*(-3 + 484*r + 481*r - 958*r).\nAnswer: 42*r**3 - 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82998.\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -55, 0, -3, 188 in descending order.\nAnswer: 188, 0, -3, -55, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 10408?\nAnswer: 31224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 329892 and 1154622?\nAnswer: 2309244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -6. Suppose -z - 1 = -h. Solve 0 = 2*u + d + z, -d - 4 = 4*u - 5*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2579967?\nAnswer: 3, 13, 22051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s + 10*s - 5*s. Let u(z) = 2*z + 2. Give u(a(t)).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 15*g**3 + 73*g**2 - 47*g - 16. Determine u(-6).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5 + (-4 + 2)*(-15230)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037 is divided by 957.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1835610 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-21))\/(142\/(-497))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14 and 7555892?\nAnswer: 7555891.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:06 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/54390 and 209\/54390.\nAnswer: 54390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Suppose -61597 = t*q + 88403. What is q rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3395 + 5390. List the prime factors of p.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, v: 3, p: 1, k: 2}. Give prob of picking 1 v, 2 k, and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00141136 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 262 - 262 - 66*s**3.\nAnswer: -67*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 + 5*w - 8 + 0*w wrt w?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120 (base 3) to base 2.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/5 + 16*i**4\/5 - 12*i**3\/5 - 16*i**2\/5 + 14*i\/5 = 0. What is i?\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 4*y**2 - 4*y + 4. Let g be 85\/34*(-8)\/(-5). Let l(h) = -5*h**3 + 15*h**2 - 15*h + 15. Determine g*l(p) - 15*k(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -259\/393 - 1\/131. Let g = 3 - 2.98. Let q = -1.98 - g. Which is the closest to q? (a) 0.3 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 244*b + 253. Let l be h(60). Solve -2*p + 5*r = 1, 71*p - 66*p + l = 2*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1199 - 1147. Sort -0.3, u, -0.5, -2\/9 in decreasing order.\nAnswer: u, -2\/9, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/54 + (-5)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**2 + 14*j**2 + 144661*j - 72329*j - 72332*j - 10*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 57. Calculate the highest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-78))\/(76\/8379*-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 916a - 3?\nAnswer: 9167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.8842l to millilitres.\nAnswer: 98884.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/539055 and 40\/2982771.\nAnswer: 44741565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3126009.83 + -420?\nAnswer: 3125589.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8064*q**3 - 112*q**2 - 112*q + 112. Let d(w) = -218*w**3 + 3*w**2 + 3*w - 3. Determine 112*d(y) + 3*x(y).\nAnswer: -224*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 8 (c) 2\/3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*x = 125*x - 841935. Let z = 500693\/22 - x. What is the common denominator of z and (-3)\/((4\/(-29))\/2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -5\/6, 2\/3, -5\/3, 1\/2, 4 in increasing order.\nAnswer: -5\/3, -5\/6, 1\/2, 3\/5, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1 (c) 2\/17 (d) 4 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 259949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 660955199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11461570 or 0?\nAnswer: -1\/11461570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-2))\/((-4)\/(-2)). Suppose 0 = -z + 3 - p. Let k be 0 + (0 - (z + -9)). Solve -8 = -4*h - x, 0 = 4*h + 3*x - 1 - k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30365668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 17. Calculate the common denominator of 93\/2 and j(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -10. Suppose -17 = -4*t + 3, 4*i - 2*t = -k. Solve -4*u - i*f + 6 = 0, -3*f + 3 = -0*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + -1.64. Let j = 1.7000064 + f. What is j rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 s, and 1 u when three letters picked without replacement from csrccnrcu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.90478km to micrometers.\nAnswer: 57904780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 147337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(-n + n + 2*n) + (1 + 3 - 5)*(2*n + 0 + 0) - 2 - 3*n + 2 to the form y*n + q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*g + 39, -3*g - r = -26 + 5. Let w(u) = 0 - g + u + 1. Let i(v) = v + 61. Let s be i(-57). Calculate w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/42 and 2 + (10890\/189)\/(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**3\/2 + 1197*j**2\/4 - 1909. Factor g(n).\nAnswer: -3*n*(n - 399)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose 90 = -78*o + 84*o. Let n be o\/6*((3 - 4) + 5). Solve -n = -p*u - 0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 4, 2, 3, -2, -6 in decreasing order.\nAnswer: 4, 3, 2, -2, -6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -61*f**2 + 8*f - 9. What is u(2)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:10 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133004 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 606\/60)\/(9\/1074) - 12\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770*o - t = 765*o - 29, 3*o + t + 11 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*u + 24, -5*k + 7*u + 45 = 2*u. Let p(a) = -k*a**3 - a**3 - a**2 - 6*a**3. Let r be p(-1). Calculate the highest common factor of 60 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t - 50. Let m be 36\/10 + t\/25. Let x(b) = 4 - 2 - 1 + b**2 + m*b. Let w(o) = 3*o**2 + 11*o + 2. Calculate 3*w(l) - 8*x(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 21*u + 12. Give v(14).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/128992 and -169\/240?\nAnswer: 1934880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*w + 397*w + 3*h + 9*h = 196*w - 24, -4*w = -2*h + 122 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5 - 13. Let f = x - -10. Sort 0.4, f, -0.2 in ascending order.\nAnswer: f, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 9*h**2\/2 + h - 2. Suppose -155 + 43 = -8*v. Calculate the smallest common multiple of b(1) and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - -2*(-10)\/20. Solve 8*g = -2*r + 4*g + 14, v*r = -5*g + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993509?\nAnswer: 11, 181, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t - 2*t**3 - 5*t + 11*t + 3 - 2*t**2 - 4 + 2*t**4 to the form z*t + s + n*t**2 + c*t**4 + g*t**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 220120041 (base 5) in base 6?\nAnswer: 32104344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 7 + 13)*((2 + 4 - 4)*(-6 + 3 - 3) + 3 + 2 - 2)*(-1 + 1 - 2*q).\nAnswer: 828*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15741 is divided by 7082.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 - -116. What is the fourth smallest value in -2, r, -7, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 462, 470, 482, 498, 518?\n\"Answer: 2*f**2 + 2*f + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(-1*(-3)\/(-6))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -2 + -23 + 23.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 12*s - 3. Let y be u(12). What is the closest to 2\/7 in y, -22, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:34 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 4*n**2 + 6*n + 181. Determine v(7).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 17*k + 24. Let l be c(-18). Solve 0 = -5*p + 4*q - l, -p - 4*p + 30 = 5*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**8\/90720 + j**7\/11340 - 11*j**5\/60 - 4*j**2. Let d(u) be the third derivative of x(u). Factor d(a).\nAnswer: -2*a*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/96 and -57\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15.18069178 and -469.\nAnswer: -484.18069178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -128, -0.007, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 330580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.63 - 18.628262. What is t rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 13*q**2 - 1. What is i(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -112*g**2 - 11996*g - 1284 = 0?\nAnswer: -107, -3\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3) - -2 - 2920\/120.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 319420 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(10\/(-75)*2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-39)\/p**(-3\/25))**(-4\/11) assuming p is positive.\nAnswer: p**(3888\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -40*483\/(-644)*1\/3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let n be (0 + 0 - -14) + q. Solve -5*r - 4*f - f - n = 0, 1 = r + 3*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-6))\/(1\/10). Let k = q - -9. What is the units digit of k\/(-33) + (-136)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*h - 137390, -3*m - 54956 = -12*h + 10*h. List the prime factors of h.\nAnswer: 2, 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 2*i + 0*i)*(2 - i - 2) + 1498*i + 1 - 748*i - 751*i + 969*i**2 as j*i + c + w*i**2 and give w.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 10498?\nAnswer: 104980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.15524 + -0.03976. What is q rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31908*b**3*j**5 - 2*b**3*j - 4*b**2*j**3 + 28695*j wrt j?\nAnswer: -638160*b**3*j**3 - 24*b**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t**5\/4 - 77*t**4\/4 + 33*t**3\/2 + 13*t**2 + 2*t = 0. What is t?\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*r + 39, 5*t = 3*r + 2*r + 155. Suppose 5*p + 24 = -66. Let z = p + t. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:18 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.5 and -38591.\nAnswer: -38592.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7184.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/507 and -29\/15?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1763344\/(-100190)*(-3 + 21\/2).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -211, -423, -635?\n\"Answer: -212*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 71*t**2 - 7245 + 3614 + 3618 - 79*t - 28*t. Is a(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38411945 is divided by 9872?\nAnswer: 9865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m + 6. Let o(q) = -2*q. Let r(h) = -h - 1. Let k be -5 - (2 + -3 - 0). Let w(j) = k*o(j) + 5*r(j). Calculate 5*n(t) + 6*w(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -70*-1.7\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/2)*j*j*j\/(j\/(j**(1\/19)*j))*(j**(-7))**44)**(-4\/7) assuming j is positive.\nAnswer: j**(23062\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -481 - 4?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 2*u**2 + 174*u + 1121. Determine m(-6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -19\/10*l**5 + 0*l**4 + 0 + 0*l**3 - 45\/2*l**2 - 45*l. Find the first derivative of p(h) wrt h.\nAnswer: -114*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5 - 330*g**4 + 10548*g**3 - 112728*g**2 + 185856*g = 0 for g.\nAnswer: 0, 2, 22, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 2*n - 4. Let f = -5602 - -5597. Let u be 3*(-4)\/3*-1. Let x(g) = 3*g - 5. Give f*r(v) + u*x(v).\nAnswer: -5*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5\/2 + 105*w**4 + 2736*w**3 + 31995*w**2 + 301725*w\/2 + 121500 = 0.\nAnswer: -24, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 30 + 44 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3628 = 41*p - 39*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-24) - (-16625)\/1500?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40*(-3 - 1 - (-44)\/10) and 774.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12630803495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445922228?\nAnswer: 2, 31, 3596147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2 + 5 = 3*p, 2*p = -2*j + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 0)**2 + -3 - 5*(sqrt(1100) + sqrt(1100) + 0)**2)*4 + (2*(3 + sqrt(1100)*1) + -5)**2.\nAnswer: -79211 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 16, -4*l + 0*i = -4*i - 24. What is the third derivative of -u**4 - 2*u**4 - l*u**2 - 3*u**4 + 0*u**4 wrt u?\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/12 + t**2. Suppose 3*a = 4*a - 2. Let l(c) = -5 + 2 + 3 - 9*c**a. What is l(m(y))?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 3*a - 3. Let v(c) = 4*c**2 - 5*c + 5. Let p be (5 - 3)\/(7\/2 + -3). Suppose p*n - 3 = t + 8, 3*n + 3 = 3*t. Calculate n*v(h) + 7*l(h).\nAnswer: 2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = o - 3*i, 12*i + 39 = -2*o + 15*i for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -5.06 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3210258?\nAnswer: 2, 3, 479, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 645 = -9*i + 4*i, 3*s = -3*i + 375. Calculate the common denominator of (i\/(-84))\/(222\/(-259)) and 17\/7.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5 + 0)\/((-51)\/(-255)). Let n(p) be the first derivative of p**3 - p**2\/2 - p + 2. What is the remainder when 49 is divided by n(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.368 + 7.568. What is the second smallest value in -0.2, -5, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/17751?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15019.13378 rounded to the nearest ten?\nAnswer: -15020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -1 - -3 - (22\/(-5) - -6). What is the closest to 1 in 4, 1, 205, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796281 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00176346174 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 2, k: 1}. Give prob of sequence du.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91369697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = -2. Let s(v) = v**3 + v**2 - v - 1. Let w be 4\/(-18) + 520\/72 + -11. Let o(p) = 2*p**3 + 5*p**2 - 6*p - 4. Give q*o(h) + w*s(h).\nAnswer: -2*h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/642 and -93\/5992.\nAnswer: 17976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -431 + 162. Let j = 89 - z. Let g = j - 171. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsshtt. Give prob of sequence tht.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + u**3 + 0 + (2*u**2 - 4*u**2 + u**2)*(u + 2*u - 4*u) + 3*u**3 + 2*u - 2*u + 587*u**2 - 587*u**2 + 3*u**3 + 1.\nAnswer: 8*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, 0.3, 535?\nAnswer: 535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8335829191\/2760 - -3020228. Calculate the common denominator of d and 23\/105.\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271658 is divided by 135821.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59530*i**2*s**2 - 6*i*s**2 - 32*i*s + 2*i + 5*s**2 wrt i.\nAnswer: 119060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2 + 2*v**2 + v**2. Let y(s) be the third derivative of s**5\/60 + 19*s**2. Calculate y(z(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(6\/8) + 9. Solve 4*i - b = -g + 10, -3*i = 5*g - 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -48. Let w(x) be the first derivative of 0*x - 3 + 1\/2*x**f - 1\/3*x**3. Determine w(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31223131303 (base 4) in base 14?\nAnswer: 694b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 450390\/124 - (-2)\/4. Let y = 3633 - j. Let w = 112\/155 - y. What is the biggest value in -4, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 14, 30, 62, 116, 198, 314, 470?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195177?\nAnswer: 3, 17, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 2625*n + 3721*n - 6346*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 - 129*k + 54. Calculate j(-26).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + z + 4082 = 4093, -30*q - 77 = -7*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.535990909 rounded to 3 dps?\nAnswer: -2.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745246 is divided by 1157?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 14*z**2 + 490*z - 972*z + 484*z - 4 + 0 to the form o + r*z**2 + t*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 163a4?\nAnswer: -1639d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -3.8\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kssw when four letters picked without replacement from {s: 3, w: 1, k: 9, n: 1, p: 4}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.00411828 + -1.40413408. Let r = 1.4 + x. What is r rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2460820538.\nAnswer: 2, 11, 6469, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2279 in -23, -4, -5, -5\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/60 + 5*l**4\/24 + 4*l**3\/3 + 6*l**2. Let f be y(6). Suppose 0 = f*x - 3*x + 373. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7385 - -36931\/5. Factor -2\/5*r**2 - i - 8\/5*r.\nAnswer: -2*(r + 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -1.3959.\nAnswer: 3.6041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -943 + 555. Let u = h + 388.00716. Round u to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10640 and 3002342?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1 - 3) + ((-1980)\/(-14))\/45?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 - -157. Let p = 1219 + -1213. Suppose 123 = p*m - d. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - (-2 - (3 - 4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1886, 3766, 5648, 7532, 9418, 11306, 13196?\nAnswer: 15088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9778522, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/6 and 163\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3253 is divided by 108.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10738, -11223, -12032, -13165, -14622?\n\"Answer: -162*n**2 + n - 10577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311210 (base 4) in base 9?\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 18, 63*z = 58*z - 4*v + 6341. Suppose 2*d = -0*d - 1752. Let k = d + z. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 7:11 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*i - 0. List the prime factors of i\/(-2)*(14 - 0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 6.36. Let p = z - -7.5. Let t = -1.102 + p. Round t to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -4 (c) -3\/8 (d) 2\/5 (e) -1\/826 (f) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 9:58 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59.0048 - -59. Let g = 0.00479539 + k. Round g to seven dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -67*y**3 + 2*y**2 - 2*y + 1. Let s be o(1). Calculate the least common multiple of 29 and 1 - (5 + -1 - s\/(-11)).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*b - 32, z + 8 = 2*z - b. Let o = 7 + -6. Suppose -j - 5*m + 25 = -o, 0 = -4*j - m + 47. What is the least common multiple of z and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 35*i**2 + 3*i + 3. What is z(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 3) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 11\/5, -2\/3, -4, 3.\nAnswer: -4, -2\/3, 5\/4, 11\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -12. Let b(x) = 4 + 6 + 13*x - v. Let w(l) = 9*l + 5. Give -5*b(r) + 7*w(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 354, 353, 352, 351?\n\"Answer: -t + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45, 94, 145, 198, 253?\n\"Answer: z**2 + 46*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.9 (b) 0.05 (c) -3 (d) -114 (e) -0.2 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 37\/16*j**4 + 56 - 13\/3*j**3 + 3\/2*j**2 - 7\/20*j**5 + 0*j. Solve y(d) = 0.\nAnswer: 0, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = o - 1 - 59, 0 = -n - 3. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16392217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -46269127.23 rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(405\/1170*(-2)\/(-9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -2)\/(-2 + 1). Suppose -s*b = -7*b + 425. What is b rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52740 and 360?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.09, 1\/45, 6011, 3\/4, -1 in decreasing order.\nAnswer: 6011, 3\/4, 1\/3, 0.09, 1\/45, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 - 468*p\/11 + 14578\/11.\nAnswer: 2*(p - 197)*(p - 37)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 2*l**3\/3 + l**2 + l - 2719. Suppose -5*d = -6 + 21. Calculate y(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 71. Suppose 20 = 4*k, 0 = 3*l - k - f*k + 23. What is the smallest common multiple of 13 and (1 + -2 + -10)*l\/6?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 123\/2 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253 and 1?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + m**3 - 9*m**3 + (-2*m - 1 + 1)*(2*m**2 + 0*m**2 + 0*m**2) - 3*m**2 + m**3 + 3*m**2 + (m + 2*m**2 - m)*(3*m - 2*m + m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:08 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**7\/42 - t**6\/6 - 3*t**5\/2 - 25*t**4\/6 - 35*t**3\/6 - 6*t**2 + t. Factor n(h).\nAnswer: 5*(h - 7)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.9. Let x be ((-4)\/72)\/((-1)\/(-3)). Which is the third biggest value? (a) x (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -962*b**5 + 2*b**4 - 13*b**3 + 1292970*b wrt b?\nAnswer: -19240*b**3 + 24*b**2 - 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6178062437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2402 and -11\/3362.\nAnswer: 4037762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + r - 5. Let y(i) = -2*i**3 - i + 4. Give 3*w(g) + 4*y(g).\nAnswer: -2*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16143*c**2. Let y(a) = -6*a + 8*a + 7 - 49 + 42. Give y(o(t)).\nAnswer: -32286*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -5, -1, -177, -0.08.\nAnswer: -177, -5, -1, -0.08, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811187043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 21 - 1. Suppose -5*t + 10 = 5*v, 4*v - 15 = -j*t - 3. Is 8\/3 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 12, g: 1, c: 1, s: 1}. What is prob of picking 1 c and 1 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(5 + -3 - 1). Suppose -5*p + 39 = 2*f, j*f + 2*p = f + 3. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -34. What is the highest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08522 or -1\/3456?\nAnswer: -0.08522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1471\/4 + 5 - (-2)\/8. Let i = z - 115. Let j = i + -129. List the prime factors of j.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38190 - 38208.311. What is g rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-3)*f*f*f)**(20\/3)\/(f*(f**8\/f)\/f*f*f*f*f\/(((f*f**(-1)*f)\/f*f)\/f)) assuming f is positive.\nAnswer: f**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.8 + 5. Sort 5\/7, 2, f in increasing order.\nAnswer: f, 5\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6198781061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:39 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 6. Suppose -b*w = w - 20. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 - 7*j**2 + 6*j + 20. Let u(b) = -8*b**3 + 14*b**2 - 13*b - 38. Let w(o) = -5*h(o) - 2*u(o). What is w(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3074, -6178, -9282, -12386?\n\"Answer: -3104*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*u - 3*z - 13, 3*z + 5 = -2*u. Calculate the remainder when 90 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.9 - 3.9. Let v = b + -9. Let h = 8.136 - v. Round h to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/(j\/((j*j**3)\/j)))\/((j*j**(1\/4))\/(j*j**0\/j))*(j\/((j**(-1\/4)\/j)\/j))**(-3)\/(j**(-5)*j\/(j\/(j**(1\/5)*j)*j*j)*j) assuming j is positive.\nAnswer: j**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25104.26ml to litres.\nAnswer: 25.10426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 8 = 4*m - 46, m = 4*x + 6. Suppose -5*c + 39 = m. Suppose 5*z = -c*l + l + 27, -z + 12 = 3*l. What is the second biggest value in z, -0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 55\/44*(5 + -1). Let a be ((-63)\/15 + m)\/(2\/15). Suppose -w + 19 = -2*y, -4*y + a*y - 57 = -3*w. Calculate the greatest common factor of 133 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.818221019 + 54976.286078981. Let c = -54970 + u. Let i = c - 7.1. What is i rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 105 = -7*z. What is the highest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64908*t**2*w**3 - 463*t**2*w - 66*t*w wrt w?\nAnswer: -389448*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*2001.\nAnswer: -140.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43633 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2 + 746*v + 64052 = 0. Calculate v.\nAnswer: -239, -134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-180938)\/(-2)*(-5 - (22 + -28)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2624*b**4 - 2*b**3 - 2*b**2 - 337*b wrt b?\nAnswer: 62976*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than 9.1937772743?\nAnswer: -3.8062227257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - -0.78. Is y >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1377950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -286309\/97020 - -5\/4851. Let l be 298\/240 + (-2)\/10. Let c = l + -5\/8. What is the common denominator of c and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 98*c - 30 = 102*c, 60 = -5*v - 7*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 421.5963m?\nAnswer: 42159.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = 23*w + 8. Let z(l) = -l**3 - 7*l**2 + 6*l - 13. Let i be z(w). Suppose -2*o - 336 = -i*r, -4*r + o + 453 = -0*o. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70.022 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*4\/24)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26164043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, -5 in increasing order.\nAnswer: -5, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(2\/4*2). Let j be y\/3*(0 - -3). Let q = j - -7. What is the lowest common multiple of 10 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 962045?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**2\/2 + 30*o + 5306. Give p(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + 120. Let v be (-670)\/3 - (-67)\/d. Does v = -222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41\/13 - (-4)\/(-26). Find the second derivative of -132*g + 261*g - 7 - 53*g**m - 131*g wrt g.\nAnswer: -318*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219098162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2133023121 (base 4) to base 11\nAnswer: 405941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.478453l to millilitres.\nAnswer: 478.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/7*u**2 + 22\/21*u**3 + 10\/7*u + 4\/21.\nAnswer: 2*(u + 1)**2*(11*u + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2534 - 1057. Let q = u - 845. List the prime factors of q\/9 - (-4)\/(-18).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/11 or -2\/118225?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2640785 (base 11) in base 8?\nAnswer: -21333544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -19*q**2 + 6*q. Let l(x) = 39*x**2 - 13*x. Let d = 0 + 107. Suppose 21*f - d = 19. Give f*l(c) + 13*u(c).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2293957 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6 + 2. Calculate the lowest common multiple of 48 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -379, -374, -367, -358?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -170da (base 14) in base 4?\nAnswer: -32013120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 4*b**3 + 2*b**2.\nAnswer: 2*b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1664.46 or 0.01281?\nAnswer: 0.01281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3299, -3303, -3309, -3317, -3327, -3339?\nAnswer: -3353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794030 is divided by 3072.\nAnswer: 3054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347132?\nAnswer: 2, 86783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)\/(i*i\/i**11)*(i**2\/i)\/(i**(21\/4)*i*i) assuming i is positive.\nAnswer: i**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(3*4\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -24658.961545703?\nAnswer: 24654.961545703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-141)\/940*(-55)\/(990\/(-648))?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 92751.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1085590 divided by 355.\nAnswer: -3058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 3*t**2 - 2. Let i be o(2). Suppose 2*b - 5*n - 19 = 16, i*n + 46 = 4*b. What are the prime factors of b\/4*(1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = w + 5, -2*w + 5*n - 9 = 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191711209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 + 2*f - 2. Suppose 5*v = -3*u + 2*u + 3, -101 = 5*u - 4*v. Let y = -11 - u. Let r(l) = -7 + l**2 - 2*l + 2*l + y. Give -b(t) + 4*r(t).\nAnswer: -2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 3}. Give prob of sequence ccc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1.6.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2234925 is divided by 303.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2019, 1956, 1851, 1704, 1515, 1284?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 54*w - 1944. Calculate i(41).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -304 (c) -0.1 (d) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 - 4*a**2 - 2*a + 6. Let b be f(-4). Suppose -2*y - 19 = -69. Suppose 5*v + y = 0, 4*v - b - 98 = -4*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -287\nAnswer: -90\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x**2 - 3700*x + 3702. What is q(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 514481680 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -271067 times -4\nAnswer: 1084268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:02 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.071?\nAnswer: -0.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 7:50 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4689341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4\/r**5)\/(r*r**(-6)*r**(-2)))**35 assuming r is positive.\nAnswer: r**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 0)*(-7*d**3 + 26*d**3 - 5*d**3) as t*d**3 + q + p*d**2 + o*d and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -8*y**6\/15 - 3*y**4\/2 - 4*y**2 + 6*y. What is the second derivative of o(q) wrt q?\nAnswer: -384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 76, 193, 354, 553, 784, 1041?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 436248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, x: 12, f: 3}. Give prob of sequence fx.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1319875409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 165\/(-35) + (-4)\/14. Is (-72)\/(-10) + 1\/l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 + 78 + 85 + 1206*w.\nAnswer: 1206*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*c**2*g**2 - c**2*g + 2*c**2 + 185*c - 207*g**2 - 2*g - 132 with respect to g.\nAnswer: -90*c**2*g - c**2 - 414*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (14 + -6) - 2. Let a(x) = -5*x - 26. Let i be a(r). Calculate the greatest common divisor of 216 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(7\/2)*k)\/k)**(-3\/19))**(-4\/7) assuming k is positive.\nAnswer: k**(66\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39082 + -7110. What are the prime factors of p?\nAnswer: 2, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 394 - 403. Let f(a) = 23*a + 1. What is the remainder when 5148\/54 - (-12)\/g is divided by f(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*n - 12 = -0*n, 2*t - 11 = 5*n. Let g be (2\/3)\/((-1)\/(-3)). Sort g, 0, t.\nAnswer: 0, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -49, -5, 5, -7, 47.\nAnswer: -49, -7, -5, 1, 3, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 91?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.1 (c) -0.1 (d) 2 (e) 1\/5 (f) -2\/129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.891163 rounded to three dps?\nAnswer: -0.891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/4 + 4693089*s\/4 - 4693091\/2 = 0.\nAnswer: -4693091, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 1068 = -942 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 754769506, 1509539012, 2264308518, 3019078024, 3773847530, 4528617036?\nAnswer: 5283386542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2343, -0.5 in decreasing order.\nAnswer: 1, -0.5, -4, -2343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 2*x + 2*x)*(0 + x + 0) - 4*x**4 - x**4 + 3*x**4 + x + 2*x**4 - x + 493 + 681*x**4 - 490 - 41*x**4 - 2*x.\nAnswer: 641*x**4 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjnj when four letters picked without replacement from njwjzwzwutwz.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - 0)*1)\/(-1). Let d(l) = 33 + 14 - 31 + l. Let j be d(-14). Put j, n, 4 in descending order.\nAnswer: 4, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 = -3. Let h = 1187 - -831. Suppose 4*p - y - h = -3*y, 2*y + f = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*x**4\/3 - 122*x**3 + 4000*x**2\/3 + 1432*x = 0.\nAnswer: -358\/35, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*sqrt(27) - sqrt(27)) + (sqrt(81)*3)\/sqrt(3) - (4 + -5 + 2*(sqrt(27) + 2)))**2.\nAnswer: 168*sqrt(3) + 481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4 = -s + 1, -k = -2*s + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 6*u. Is -1\/104 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 6*z + 6. Let g be f(6). Let m be 6\/(-4)*2 + g. Suppose 9*y - 4*l - 220 = 4*y, -176 = -4*y + m*l. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 5*t + 3. Let z = 11 + -6. Let r be y(z). Solve r*g - 1 = -16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700562791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/20 - h**5\/60 + h**4\/12 - h**3\/6 + 4*h**2. What is the units digit of n(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-5 - -3) + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9618 is divided by 2367.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.331 + -0.591. What is i rounded to two decimal places?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1845 - 1844.8. Let r = 0.05 + -0.45. What is the nearest to n in r, 4, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + 238. Let q = -282 + n. Let l(u) = -5*u**3 - u**2 + 3*u - 4. What is the remainder when l(-3) is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 1 - 1)*(-r**2 - 4*r**2 + 3*r**2) - 497*r**5 + 933*r**5 + 0*r**4 + 0*r**4.\nAnswer: 438*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 32 - ((2 - -25) + -56)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uagufaaufaugfaaauuu. What is prob of picking 1 u and 1 a?\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 2*r**3 - 235793*r**2 + 235793*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/(i\/i**17)*i)\/i)**(-50))**(-33))**(-44))**27 assuming i is positive.\nAnswer: i**(-33323400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40433993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 492336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/16 + -173\/336. Find the common denominator of t and (-24)\/(-48)*(-53)\/(-7)*20\/(-70).\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53, 62, 75, 92, 113, 138?\n\"Answer: 2*j**2 + 3*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 93*v + 80. What is the units digit of p(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920625 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 280 = 2*u. Suppose -4*t + 9*t - u = 0. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 26983 = -39821. Calculate the greatest common factor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41488 + -23840. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**2 - 12*u - 12. Give b(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 7*w + 1\/6*w**4 + 0*w**2 + 0 + 0*w**3. Let o(n) be the first derivative of 8*n**3\/3 - 1. Calculate o(k(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7098 divided by -6?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 10, 14, 1, 5\/2, -2, -1.89?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 0.02. Let i = x + 0.100008. What is i rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925283.\nAnswer: 97, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14090 and -0.3?\nAnswer: -4227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 32, 90, 0.4, 2\/7, 7, -1?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 148170520 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/3)\/(3 + (-3 - 2)). Let q(z) = -2 - z**2 + 1 + 2*z**2 + z**2. Let a(p) = 1. Let d(y) = 1. Let i(h) = -4*a(h) + 5*d(h). Give l*i(o) + q(o).\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in centuries?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-1 + sqrt(72))*1 + sqrt(72) - (sqrt(72) + -1 + sqrt(72) + -4) - (2 + sqrt(32)*2)*1))**2.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*v**6 - v**4 - 27*v**3 - 75204 + 5330*v**2 + 75204 wrt v.\nAnswer: 2640*v**3 - 24*v - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151225010 - -1134.\nAnswer: 151226144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose z*f = -f + 9. What is the second derivative of 1 - f*t**3 - 2*t + 0 - 1 wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*16\/(-192). Are 1 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42267, 84420, 126469, 168408, 210231, 251932, 293505?\n\"Answer: -w**3 - 46*w**2 + 42298*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 28446.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {c: 5, l: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67363 is divided by 229?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -11, -9, -13, 3, -25 in increasing order.\nAnswer: -25, -13, -11, -9, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -50880824276501.\nAnswer: -50880824276507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16784 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1481*d*f**3*p + 29*d*p**2 + 2*f**3*p**2 + 656*f**3 + 2*f*p**2 - 7*p**2 wrt d.\nAnswer: -1481*f**3*p + 29*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -89, -177, -291, -431, -597, -789?\n\"Answer: -13*z**2 - 23*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6357 or -1\/2?\nAnswer: 6357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12957, 25902, 38847, 51792?\n\"Answer: 12945*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 575430702 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109520098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -3. Let a = -1 + y. Sort 0.2, -0.3, a in decreasing order.\nAnswer: 0.2, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**3 + 2*v**2 - 4*v - 1. Let m be a(-3). Suppose -w - 4 = -m. Let l = -1186 - w. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 246, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 146351 and 0.506.\nAnswer: 74053.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 186*w - 900. Determine f(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*(o**5\/o*o)\/o*(o**(-2\/7))**(11\/7))**(-1\/33) assuming o is positive.\nAnswer: o**(-223\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 132, 262, 392, 522, 652, 782?\n\"Answer: 130*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - q**2 + 0*q**2)*(3*q - 3*q + 2*q**2) - 16*q**4 + q**4 + 3*q**4 - q**4 + 2*q**4 + 2*q**4 as z + w*q**2 + m*q + y*q**4 + s*q**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2*(3\/27 + (-10)\/9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*g**4 - 20\/7*g**2 + 8\/7*g + 0 + 16\/7*g**3 = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/10))**(2\/123))**(-39) assuming w is positive.\nAnswer: w**(-143\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 - 4*q + 3. Let w be u(1). Suppose -15 - 1 = -4*h. What is the least common multiple of ((w - -7)\/2)\/(2\/8) and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*h + 531, 321 = 2*b + b - 3*h. Let w = -16 + -4. Let z = w + b. What is the remainder when z is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 13*f + 22. Let y be b(2). Let p = -5 + -1. Let o(q) = -4*q**2 + 2*q + 1. Let z be o(-1). Sort y, z, p in increasing order.\nAnswer: p, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c = -5*s - 19*c - 35, 3*c = 2*s - 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p**3\/4 - 571*p**2\/2 - 5453*p - 722.\nAnswer: -(p + 38)**2*(15*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64927?\nAnswer: 64927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((252\/(-35))\/(-4))\/((-1)\/20*-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13593 + -13427.23. Let t = u - 164. Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 400 divided by -4\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkr when four letters picked without replacement from {k: 4, r: 7}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 8*p - 11*p = -46 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Suppose -3*b = -3*a + 6, -179*a + 175*a = b - 23. Solve -3*o - a - 4 = p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.94 - 0.06. Let k = 29.7 + -30. Which is the smallest value? (a) 2\/5 (b) k (c) 3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 493*k**2*x**3 - 12*k**2*x**2 - 5*k*x**3 - 2*k + 1013*x**3 wrt k.\nAnswer: 986*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110154.3 rounded to the nearest 100?\nAnswer: 110200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -67, -156, -273, -412, -567, -732?\n\"Answer: q**3 - 23*q**2 + 7*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681559 is divided by 130.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 + 9 + 42*f - 42*f.\nAnswer: 8*f**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 7*y**2 + 1754064 - 4*y**2 - 877026 - 877038.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 2) + 448 + -472?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let h = 0 + r. Let z be ((-8)\/110)\/((-2)\/5). Put z, h, -1\/8 in descending order.\nAnswer: h, z, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15521994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 9 = -19*r - 7*p, 2 = r + 3*p - 6*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 113*z + 111*z, -5*z + 16 = -j. Solve -2*n + 4 = 3*o, 0 = j*o - 0 + 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 14 = -2*z, 4*k - 6*k + 5 = 5*z. Let j be ((-10 - (-378)\/28) + -3)*(-3 + -1). Sort z, 0, j in descending order.\nAnswer: z, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**21*w*w*w*(((w*((((w**(-14\/5)*w*w)\/w)\/w)\/w)\/w)\/w)\/w)\/w*w*w)\/(w**(2\/3)\/((w\/w**(-21))\/w)) assuming w is positive.\nAnswer: w**(593\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 - 159. Let f(v) = 428*v - 11. What are the prime factors of f(z)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 34986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 5, z: 1, b: 1, d: 2}. Give prob of sequence cbdp.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(114))\/sqrt(6) - (1*sqrt(38))\/sqrt(2)) + sqrt(114)\/((sqrt(6) + (sqrt(6) - sqrt(384)) + sqrt(6))*-5).\nAnswer: 26*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 10*s**2 - 18*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/4275 and 10\/89433.\nAnswer: 2235825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -1628?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**3 - 2*j**2 + 1. Suppose 6 = g + 2*g. Suppose 0 = -5*y + 7 - g. List the prime factors of l(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23789.00097782 - 23789. Round u to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -545*o + 33786. Determine z(62).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*x - 25 + 42, 4 = -2*p - x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120 + 10ba?\nAnswer: 121a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 k when four letters picked without replacement from jkjtjjktjkjtk?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 135? (a) -49 (b) -4\/5 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52510 * 700.5.\nAnswer: 36783255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2741374*k*v**4 - 4*k*v**2 - 2*k*v + 5*k + 2*v**3 + 541*v**2 + 9*v wrt v.\nAnswer: -65792976*k*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4 = b + j, 3*j + 12 = -b. What is the common denominator of 2067\/26*(-2)\/b and 31\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*m + 312868 - 156431 - 156393.\nAnswer: 74*m + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 45 + 117. Let v = 49 + n. Let l be ((3 - -17)\/v)\/(-2). Is 6 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 1. Let h be t(-2). Let n(g) = -g**3 + 8*g**2 - 7*g + 3. Does 12 divide n(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -4\/5 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2143.78l?\nAnswer: 2143780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3.5. Let p = -3.59 + t. Let q = 4.09 + p. What is the third biggest value in 5, -8, q?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 14*h**2 + 6. Let m = -6 + 13. Calculate the remainder when m is divided by w(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817533405?\nAnswer: 3, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*s + 113*s - 2 + 2 - 17*s.\nAnswer: 174*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*w. Let z(d) = 0*d + w*d - 2*d. Let o(s) = -s**2. What is o(z(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 55*y - 236. Give m(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:54 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 + -142. Let a(i) = -i**3 - 7*i**2 - 6*i + 20. List the prime factors of a(l).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/53 and 50\/33?\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106367, 106376, 106395, 106430, 106487, 106572?\nAnswer: 106691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 74*j**2 - 171*j - 3084. Calculate h(71).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2080 + 1926 = -22*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -75*b - 1. Let o(p) = -11*p**2. Calculate o(l(r)).\nAnswer: -61875*r**2 - 1650*r - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(2 - 2 - 2)*(-29*k + 31*k + 42*k).\nAnswer: 88*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**3*u*u)**42)**(3\/50) assuming u is positive.\nAnswer: u**(378\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2341 * -322.\nAnswer: -753802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by -8.\nAnswer: 135\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 3*n**2 + 2*n**2 - 4*n.\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-360)\/(-15)*(135\/(-315))\/(9\/(-14))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 8*r**2 + 0*r**2)*(-6*r + 676 - 674 + 7*r).\nAnswer: 6*r**3 + 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 15414*l - 46277. Give s(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45\/2 of a microsecond?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42857 is divided by 471?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/75 + 43\/129.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158.7 * -474.\nAnswer: -75223.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(135\/(-40)) - -5*(-12)\/270. Let d = 0.13 + -2.73. Let h = d + 3. Which is the closest to -2? (a) h (b) 2\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v + 32*v - 3 = 3*r, -r + 4*v = -14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2579440 and 44080?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44 + 151 + 393*h**2 - 324*h + 869*h**2 - 51 - 57 wrt h?\nAnswer: 2524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - -2123?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/3419245 - -232802031209\/20515470. Let a = 11343 - q. Let b = 560912\/27 - 20772. What is the common denominator of a and b?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0709 times -1110?\nAnswer: -78.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*q**3 - 1 - 32*q**3 + 54*q**3 + q to v*q**2 + t*q + p + x*q**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 78 and 292929.\nAnswer: 293007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.2. Let h = -103020 + 103019.96. What is the smallest value in f, 4, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12224*l - 32. Let k be y(18). What is k rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*z - 31, 7*o + 4*z = 2*o + 30. Let h be 9 + o*(-2 + 0). Let v(s) = -s**3 + 4*s**2 - s. Let t be v(3). Which is greater: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 123 = 31*r. Solve 0 = -4*f - 12, -r*n + f - 2 = -8*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2620263 >= -2620263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/120 + y**4\/6 + y**3\/6 + y. Let n(x) be the second derivative of w(x). Let r = 23 - 19. Determine n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a - 12. Suppose a*j - 4 = 2. Suppose 0 = -s + 5*s. Solve 0 = -s*q - j*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 740.8 less than 13?\nAnswer: -727.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27240, 29176, 31112, 33048?\nAnswer: 34984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1085 - 1085 + 2805*z**2.\nAnswer: 2805*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2 + o + 7. Suppose -6*b = -11*b. What is i(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -1. Suppose -1 = 4*l + 3, 5 = -4*n - f*l. Solve -1 = s - 4*b, b = -n*s + 4*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 56*c + 1. Let m(z) = 212*z + 4. Let q(l) = -4*i(l) + m(l). Let k(y) = 30*y**2. Determine k(q(t)).\nAnswer: 4320*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r. Suppose -43*q + 1064 = 13*q. Suppose -4*l + q = -1, -11 = 3*o + 2*l. What is t(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 26. Suppose -5*l + 17 = a, l - 2*a = x*l - 13. Solve -p + 2*p - 5 = 2*o, -9 = 2*o + l*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211146 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*sqrt(220)\/sqrt(5) - sqrt(44))\/sqrt(4) + 0)**2 + 4.\nAnswer: 12*sqrt(11) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {b: 2, s: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -488a9 + 3a?\nAnswer: -4886b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3 + 7, 0 = -2*a - i + 1740. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 1230 = 1230 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4435*c**2 + 7*c**4 - 4*c**4 + 2180*c**2 + 6624*c + 1407*c**2 wrt c?\nAnswer: 36*c**2 - 1696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(320)\/sqrt(10).\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t + 51. Let i(z) = 2*z - 25. What is -11*i(y) - 6*l(y)?\nAnswer: 2*y - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1157, 73, -2 in descending order.\nAnswer: 1157, 73, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 16*w**2 - 18*w + 21. Let k be o(15). Let s = k - -32. Find the third derivative of 7*i**3 + 0*i**2 - 3*i**2 + s*i**2 + 2*i**3 wrt i.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(-4\/13))*b**(-2\/9) assuming b is positive.\nAnswer: b**(-62\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/6368283 and 7\/6368283.\nAnswer: 6368283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from rwrrrrrrrrrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**3 + 24*q + 28*q - 63 - 56*q.\nAnswer: 13*q**3 - 4*q - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*u - 5*y - 0*y, -61 = -3*u - 5*y. Let p be (-1)\/4 + 63\/u. Suppose -67 = -p*g + 58. Solve 7*v = 2*v - g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-16)\/(-7))\/2)\/(8\/28). Suppose 4*f - 8380 = c*l, -9*f + 8*f - 4*l + 2115 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 - s**2 - 3*s + 1. Let m(q) = 832*q**4 + 9*q**3 - 3*q**2 - 8*q + 1735. Let j(u) = -m(u) + 3*x(u). What is the derivative of j(w) wrt w?\nAnswer: -3328*w**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064149 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1682 - -1681.8. Let o = 0.29 + -0.08. Which is the biggest value? (a) -1\/3 (b) n (c) o (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**2\/2 + 1426. Let x(o) = 4900*o. Give i(x(f)).\nAnswer: -4900*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 6. Let k be c(-5). Let y = 11 + k. Let h(l) = l + 1. Let d be h(8). Solve 5*o + s + y = 0, -3*s + d = -2*o - 2*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzwz when four letters picked without replacement from azwwwiiiiweezzwz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 7*a**2 + 9. Let g(c) = c**2 - c + 1. Let w(i) = 4*g(i) - m(i). Let r be w(8). Calculate the common denominator of (-13)\/(-195)*r\/4 and 11\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15768 and 289737?\nAnswer: 2317896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 11:28 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = -6*l + 1567. Suppose 5*q - b - 655 + 128 = 0, 2*q - 5*b - l = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 384, 2\/7, 21, 2\/11, 6\/7, -15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -a + 10, -6*a + 5*a = -4. Let i be 12\/8*(-8)\/(-3). Suppose i*v = -h + 15. Put 4, -5, v, -4 in decreasing order.\nAnswer: 4, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 192*k + 93. Let s(u) = -u**2. What is g(s(c))?\nAnswer: -192*c**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -867*h - 258*h - 612*h + 380*h to l + b*h and give b.\nAnswer: -1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10882 + -10880. Solve 1\/2*y**g - 9\/2 + 4*y = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -6, -5.1, 1, 13\/2, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144 + 143. Let z = 22 - 21.9. What is the nearest to z in 3, s, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/16 - 14\/8. Let w be (0 - 0)\/(-2) + 8. Is ((-4)\/w)\/(s\/260) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18986849 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000932339 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380180050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svs when three letters picked without replacement from svv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 15311.4, -1\/4, -2, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 1. Let x be d(1). Is 1 - (-154 + (1 - x)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*i**3*k**3 + 202162*i*k**3 + 5340*k**3 + 10*k**2 - 26 wrt i.\nAnswer: -57*i**2*k**3 + 202162*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k = 5*z + 9127, 7308 = -4*z - 4*k. Let o = z + 1833. Suppose 85\/2*n**3 + 0 + 50*n**2 + 10*n**4 + o*n = 0. What is n?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 15}. What is prob of picking 1 i and 2 g?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (3 + -33 - -3). Suppose u = -3*c + 8 + 3, c = -5*u + o. Find the third derivative of 0*s**c - 6*s**2 - s**3 + 3*s**2 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 30. Calculate the greatest common divisor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34050357 (base 8) in base 9?\nAnswer: 14758042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3\/4 - 29001*r**2\/4 + 110606328*r - 282567788685 = 0?\nAnswer: -18655, 4494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003144 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2000122001 (base 3) to base 10\nAnswer: 39826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036 is divided by 404?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106.48 - -108. Let d = o + -1.5200059. What is d rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}