diff --git "a/data/dm_maths/full_data_1/10813_11255.jsonl" "b/data/dm_maths/full_data_1/10813_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10813_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the closest to 2\/175 in -3\/5, -1988, 0.1, 0.3, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3 (b) 1\/4 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367.8103 months in years?\nAnswer: 197.317525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1560465670 to the nearest integer?\nAnswer: 39503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15 + 0.35. Let n = 386\/119 - 60\/17. What is the nearest to n in 1, a, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 520, 4, 248 in ascending order.\nAnswer: 4, 248, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -7 (b) -4 (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*k - 36, 3*t + 10 = -k - 10. Which is bigger: -7 or t?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 570*k - 491*k - 742 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18732 and 206052.\nAnswer: 206052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5313233 rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33002*w**2 + 177*w**2 - 8904*w**2.\nAnswer: -41729*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-14)\/252*57)\/(1\/(-1))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 873 and 31599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 15*g - 19. Let k be s(-3). Let x be k\/(-132) + (-3 - (-14)\/6). Sort -2\/13, -6\/7, x in increasing order.\nAnswer: -6\/7, x, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -212799 + 9036182.52.\nAnswer: 8823383.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -1787\/48, -4\/7 in ascending order.\nAnswer: -1787\/48, -4\/7, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*8.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 5\/2, -128\/95?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17531347\/186 - -94254. Find the common denominator of t and 83\/288.\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-3)\/2)*6. Suppose -2*q - 23*b = -19*b + 2, q + 9 = -4*b. Suppose q = o*m - 11. Solve -m*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = 5*s + 2*x, -2*s - 108*x + 110*x = -108. Calculate the least common multiple of 336 and s.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135632 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (139*n**2 + 109*n**2 - 285*n**2)*(0 + 0 + 4) - 3*n**2 + 5*n**2 + 0*n**2 in the form a*n**2 + f*n + d and give a.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.075907 seconds to nanoseconds.\nAnswer: 9075907000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3554 + 118810*i + 3554.\nAnswer: 118810*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11857\/639 - 38\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:48 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 63 = -2*g. Suppose 5*n - 122 = r, -r + 3*n - 149 = -g. Let q = -52 - r. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 114*g + 1476. Give x(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 + -91 + -47 + 101.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*j + 10. Solve 8 = -2*g - w, 4*g - j*g - 5*w - 24 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 3*f - 3. Let z be w(3). Let l(b) = -b + 7. Determine l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06960173 to 3 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 206*k**2 - 256*k + 3352. List the prime factors of p(12).\nAnswer: 2, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:29 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g + 6. Let a(b) = 10*b + 11. Let c(z) = -6*a(z) + 11*l(z). Let r(n) = -13*n. Calculate r(c(w)).\nAnswer: 65*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**2 + 13 + 35*z**3 - 45*z - 7 - 6*z**2 + 10*z**3 + 3*z**2 = 0?\nAnswer: -1, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17\/21 + 313\/231. Find q such that -10\/11*q**2 + 2\/11*q + 0 + n*q**3 + 18\/11*q**4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.6 and 20.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 135\/(-11 + 2)*(-2)\/(-6). Let j be ((-1)\/1*-3)\/(-3 + 0). Which is the smallest value? (a) j (b) 14 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d + 48. Determine u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4733 - 4777 = -s, -3*f + 2*f - 12 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -459 + 459 - 21*u + 79*u in the form d + s*u and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/26, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329205 and 32385?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**4 + 5*j**4 - 13*j**4 + j**4 + 2*j**4 - 4*j**4 + (j**3 + 2*j**3 - 5*j**3)*(2*j + 1 - 1).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 609 - 203. Is u a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56373 + 131?\nAnswer: -56242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 27 = 79. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoao when four letters picked without replacement from ooaoaooooao.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = -2*d + 48, 2*d - 48 = 3*l. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b525 - 1c?\nAnswer: -b543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 712 and 14952.\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 4. Suppose -3*q + 3*u = 12, -7 - 9 = -3*q - 4*u. Let l be k(q). Solve 5*x = -7*j + l*j + 10, 0 = -5*x + j + 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/15)\/g**(-13))\/((g\/(g**(-11\/3)\/g)*g*g)\/g*g**(10\/3)*g) assuming g is positive.\nAnswer: g**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1890986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/3))\/(s**(1\/25)*s) assuming s is positive.\nAnswer: s**(22\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10*j + 759 = 11*j. What is the lowest common multiple of 435 and j?\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 94 = -2*h. Suppose 3*c + 0*g + 4*g + 7 = 0, -4*g = 5*c + 1. What is the common denominator of (h\/40)\/(c\/(-166)) and 83\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttytqqt. Give prob of picking 1 t and 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/15)\/z*((z\/z**(2\/3))\/z*z)\/z assuming z is positive.\nAnswer: z**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 10:26 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(7 - 72\/10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 111*u + 216*u - 109*u)*(25 + u**2 - 25 - u) + 3 - 3 + 4*u**3 + (3 + 1 - 3)*(u**3 - u**2 + u**2) in the form y*u**2 + o*u + v + z*u**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2 + s + 1. Let c(x) = 7*x**3 + 6*x**2 + 6*x + 6. Let j be (-26)\/22 - 20\/(-110). What is j*c(i) + 6*u(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (156\/(-9))\/4 + (106\/(-6) - -18). Let r = 43 - 44. Let m = -39\/92 - -4\/23. What is the nearest to m in 4, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 y when four letters picked without replacement from ayayppymmmymhaap?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27429 plus 6440?\nAnswer: -20989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5*z**2 + 8*z - 7. Let f be c(6). Let j = f + -2. Find the third derivative of -70 - j*u**2 + 70 - 9*u**4 wrt u.\nAnswer: -216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-604)\/(-1510))\/(14\/(-10)))\/(7\/(441\/5))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.912732 litres?\nAnswer: 4912.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34432616, -68865235, -103297854, -137730473, -172163092, -206595711?\n\"Answer: -34432619*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, 0.2, 3\/7, -4, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2023\/2 (c) 5 (d) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428248?\nAnswer: 2, 199, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, -76\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12895\/9 - -55412\/45. Let f = u - -201. What is the closest to f in -1\/8, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 236\/403 (b) -13 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1353, 1348, 1343, 1338?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 290137\/12 - 24178. Let z(i) be the second derivative of -39*i - 1\/6*i**3 + 0 - h*i**4 - 1\/2*i**2. Give z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -85. Suppose -31*h + 29*h = -11*h + 2016. Calculate the greatest common factor of h and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p + 47 + 1 + 98. Calculate w(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -52, -29, -5 in decreasing order.\nAnswer: 3, -3, -5, -29, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116\/93 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 1. Let h be i(-4). Let q be (-188)\/(-3) - h\/(-9). Let m be (q\/(-6))\/(-7) - 3. Which is the third biggest value? (a) -4 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 4*t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-36) + 19\/6. Calculate the greatest common divisor of x and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*s - 9, 3*s - 3*y + 305 = 314 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let d(a) = 3*a + 8*a - 13*a + 3*a. Calculate o(d(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 500958 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 - (33 + 14 + (31 - 87)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64313 or 64312?\nAnswer: 64313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, y: 8, g: 1, a: 2, r: 3, d: 1}. What is prob of sequence mydr?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 20*w + 12. Suppose 21 = -2*x + 3*a, 5*a = -2*x - 1 + 4. Determine l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8706 + 8739. What is the remainder when 1461 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a = -417. Let m = -4 + a. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r**2 - 6*r - 4. Calculate o(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -547 - -547.0497. Let k = v + -0.0788. What is k rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 + 1 + (4 - 3). Let q(a) = -2 - 5*a + a**2 + 0 - a**3 - 6*a**2. Let j be q(-4). Solve -3*g - j*g + 5*o = 25, -25 = 5*g - w*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7212 - 7216. Sort -9, g, -1, 1, -5 in decreasing order.\nAnswer: 1, -1, g, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 835 + 235. What is the highest common divisor of p and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 58926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*h**2 - 4 + 117*h**2 - 3)*(-h**3 + 0*h**3 + 10*h**3).\nAnswer: -9*h**5 - 63*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 968, 1592, 2294?\nAnswer: 3074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z + 1. Let k be l(-4). Suppose -5 = -3*t - b - 1, 2*t - b + 4 = 0. Suppose -7*d + 4*d = t. Put k, d, 5 in increasing order.\nAnswer: d, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 4, t: 4, n: 9}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.4, 0.5, 2607?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4223 + -707. Is a a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16843.\nAnswer: 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -30.3*-87998.5\nAnswer: 2666354.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1521 * 20\nAnswer: 30420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxnyyycyxiyuunnny. What is prob of picking 1 n, 1 c, and 1 y?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*m**2 + 8*i*m - 293*i + 49433*m**2 - 4*m + 1781 wrt m.\nAnswer: -2*i*m + 8*i + 98866*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -572 - -934. Let s = -348 + w. What is the smallest common multiple of s and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678429.4 minutes in nanoseconds?\nAnswer: 40705764000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.08 - 0.92. Let t = x + 53. Let g = t - 21.6. Put 37, -0.1, g in descending order.\nAnswer: 37, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 29*r**2 - 50*r. Let h(y) = 26*y**2 - 45*y. Let z(n) = 10*h(n) - 9*p(n). Let j(q) = 55*q**2 + 86*q + 2. Determine j(z(t)).\nAnswer: 55*t**4 - 86*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**3 + 60. Let l(h) = 6*h**2 + 3*h - 3. Let s(q) = q**2 + q - 1. Let d(i) = l(i) - 3*s(i). Give d(n(k)).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4552 + -8729\/2. Factor z*u**4 - 225*u**3 - 12*u + 0 + 90*u**2.\nAnswer: 3*u*(5*u - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/3))\/k)**(2\/71))**(1\/63) assuming k is positive.\nAnswer: k**(4\/13419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnnnhnnnnn. Give prob of picking 2 n.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*b**3*r**2 - 84865*a**2*b*r**3 - 8*a*b**3*r - 2*a*b**3 - b**2*r**3 - 7*b*r**2 - 12*r**3 wrt a.\nAnswer: -4*b**3*r**2 - 169730*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 + 31*n**2 + 0*n**2.\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -130 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 413.4, 8, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616536.9 minutes to days.\nAnswer: 428.150625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:24 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 738035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-9))\/(-87 - 14300\/(-165)))\/((-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*25\/2250 - 2\/(30\/(-357)). Solve 2*m + 6 = -4*y, 4*y + o = 5*m + y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*((-2 + (4 + sqrt(432))*4 + sqrt(432))**2 + 5).\nAnswer: -44004 - 6720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7632 (base 8) in base 15?\nAnswer: -12b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -127, -24 in descending order.\nAnswer: -2, -24, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 5. Let v be -1*(-6)\/(0 - -2). Suppose v*y + y + 32 = 0. Let s be n(y). Solve -11 = 2*h - 3*z, -2*h + z = -4*z + s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h + 236*h - 30*h.\nAnswer: 231*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 plus 49.256?\nAnswer: 67.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1486078, 1486090, 1486098, 1486102, 1486102?\nAnswer: 1486098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccgcgxcsx. Give prob of picking 2 c and 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*y**3 - 54*y**4 + 32*y**3 + 10*y**3 + (-y**3 + 0 + 0)*(14*y - 88 + 88) as k*y**4 + m*y**3 + v*y**2 + c*y + b and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Suppose 8 = j*h - 17. Put h, 4, 0 in descending order.\nAnswer: h, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)\/y)\/(y**4*y) assuming y is positive.\nAnswer: y**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = b + 5*h, 0 = 5*b + 2*h. Solve -5*d - 2*f = f + 10, 2*d + f + 5 = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/97 + 187\/679. Let w = 145 + -440\/3. What is the closest to -0.1 in w, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -115 (b) 1 (c) -4 (d) 3 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 438377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -222792851 and 0.2?\nAnswer: 222792851.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16707029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13704*d + 16. Let f(a) = -2742*a - 3. Determine -21*f(t) - 4*q(t).\nAnswer: 2766*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/((-48)\/(-92))*79 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6211 - 6211.5. Sort b, 747, -1 in descending order.\nAnswer: 747, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -892 * -4.9.\nAnswer: 4370.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + -15 + 6 - (-1 - -7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 133. Let p = -36 + q. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcoloocoomblclc. What is prob of sequence ml?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 11920149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -17*p + 7. Let j(d) = -8*d + 4. Let f(c) = 6*h(c) - 13*j(c). Let n be f(5). Let a(s) = s**2 - s + 145. What are the prime factors of a(n)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 7 - 5)*(-27*m + 27*m + 6*m**5 + (m**2 - 4 + 4)*(3 - 3 + m**3) + 4*m**5 + 2*m**5 - 2*m**5).\nAnswer: -165*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52462*h**3 - 148617.\nAnswer: 157386*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268 + 182. What is i rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -666, -4\/5, 2\/13, -1, 1, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/3 + 4*d**4\/3 - 4*d**3\/3 - 16*d**2\/3.\nAnswer: d**2*(d - 2)*(d + 2)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 2. Let l(i) = 2*i - 3. Let g(h) = 5*j(h) - 3*l(h). Let r be g(-3). Solve -n + 0*n = -3, 0 = -r*w + n + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -650 + 957. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 487599.8l?\nAnswer: 487599800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a meter in millimeters?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 5*u**2 + 6*u + 2. Let x = -5 - -11. List the prime factors of s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 + 1300775*s - 1 - 1.\nAnswer: 1300775*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -579269768 by -1078.\nAnswer: 537356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -124410*c**2 - 3*c + 2. Let l(g) = 8*g. Calculate n(l(x)).\nAnswer: -7962240*x**2 - 24*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 14823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/952 or 1?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012100003 - 10?\nAnswer: 2012033333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -13*x**2 - 185*x. Let l(w) = 7*w**2 + 93*w. Calculate 11*l(n) + 6*v(n).\nAnswer: -n**2 - 87*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**3 + 5*m**3 - 2*m**3 + 9*m**3 + 3*m**3 + 11*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1557\/5 + -310. Let r(n) = 2*n**3 + 125*n**2 - 65*n - 125. Let a be r(-63). Is a at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/9942290 and -39\/10.\nAnswer: 9942290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 332 + -329. What is the lowest common multiple of v and (-3)\/(1\/(10\/(-3)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 + 4*n**2 + 2*n - 4. Let j(m) = -2*m - 7 + 3 + 5 + 4 - 5*m**2 - 7*m**3. What is -5*i(r) - 4*j(r)?\nAnswer: -2*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -37\/121183 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-11)*374\/68*(-2)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 375860 divided by 75172\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4964 and 438.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270839 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 2*w**2 - 2*w + 2. Let p be y(3). Solve 0 = 5*v - 5, p*h + 2*v - 19 + 2 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 15*c - 11. Let f be y(13). Let k be ((-1824)\/f)\/(-3 + 308\/100). Round k to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 w, and 1 y when three letters picked without replacement from yvwwwvwwwvvwyvvvvv.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/5*b**2 + 2\/5*b**5 - 2\/5*b**3 - 8\/5 + 6\/5*b**4 - 24\/5*b.\nAnswer: 2*(b - 2)*(b + 1)**3*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*h - 84, -3*h - 69 = -2*w - 2*w. Suppose -w*q + 35924 = -q. Suppose -6*l + 7*l = -3*j + 1541, 4*l - q = -5*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 4*f**7\/21 - 14*f**3\/3 - 8*f + 26. Let j(m) be the first derivative of i(m). Find the second derivative of j(o) wrt o.\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88555650 a multiple of 838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 6*y + 3. Let d be r(6). Let w(u) = 20*u**3 + 16*u**2 + 16*u. Let i(b) = -4*b**3 - 3*b**2 - 3*b. Give d*w(l) + 16*i(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65700941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 4*n**2 + 8. Is w(-4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 + -0.1209117757.\nAnswer: -56.1209117757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k + 1. Let u be 12\/20 + (-2)\/(-5). Let y be o(u). What is the units digit of (y - 0) + (-1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 - c**2 - 3*c**2)*(4 - 3 + 2)*(85 - 85 - 95*c) as j + z*c**2 + f*c + a*c**3 and give a.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8533.7 litres?\nAnswer: 8533700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/15, -2\/7, -0.6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1507\/4 - -377. Which is the second smallest value? (a) k (b) -3\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + p - 7*p - 1 + 1 + 2*p + (-2 - 1 + 1)*(-2 - p + 2) + p + 3*p - 2*p + (3 + p - 3)*(4 - 3 + 1) in the form l + y*p and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:19 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 10*l + 9400. Let c be s(0). Round c to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40405.46l in millilitres?\nAnswer: 40405460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -11\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1832 (b) 5\/14 (c) 4 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*s + 84 = 98*s. Let j = 0.4 + 0.1. What is the nearest to -2\/7 in s, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7393 = 1803. List the prime factors of o.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3 - (-128)\/(-42)). Calculate the greatest common divisor of i and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from vtvvdvdtvvvv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 + 3*d**3 + 13*d**2\/2 + 6*d + 2.\nAnswer: (d + 1)**2*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 30630*u - 30635.\nAnswer: 5*(u - 1)*(u + 6127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -24*b. Calculate v(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 388 = -3*v, -t + 3*t - 5*v - 140 = 0. What is the greatest common divisor of 120 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00125508 to six decimal places.\nAnswer: 0.001255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = c + 24. Let a(f) = -2 + 1 + 4 - f. Let n(x) = 1. Let u = -962 - -961. Determine c*n(i) + u*a(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chnlhnlnhhhnnhnhnnnn. Give prob of sequence lhlh.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50104 (base 15) to base 9\nAnswer: 425474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48*(-48)\/(-81) - ((-792)\/81)\/22.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 8926.\nAnswer: -4\/4463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -106*o + 197. Let p be k(6). Let s = 441 + p. Solve -12 = -3*u - 3*n, 6*u = u - s*n + 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 529089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*d + 3*u, 5*d = -0*d - 5*u + 35. Let k(t) = 3*t**3 - 2*t**2 + 11*t - 7. Is k(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, t: 2, g: 2, z: 3, q: 1}. Give prob of picking 2 t and 1 g.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 690197, 690201, 690205, 690209, 690213?\n\"Answer: 4*c + 690193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i + i - 4*i + 3*i**2 - 3*i**2 + 2*i**2 - i**2 + (-i + 2*i - 2*i)*(2*i - i + 0*i) + 2*i**2 + 0*i**2 - 4*i**2.\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66749379 to the nearest integer?\nAnswer: 8170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is -2488123 equal to -2488121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 (base 6) in base 14?\nAnswer: d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6808 and 28.\nAnswer: 190624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 346*o**2 - 1244*o**2 + 19 + (-2*o + 3*o - 2*o)*(-5*o + o + 3*o) to the form s*o + l*o**2 + w and give l.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Put 10, -227834, 5, 1\/16 in increasing order.\nAnswer: -227834, 1\/16, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 + 138. Suppose 0 = -l*q + 27 - 11, 2*q - 455 = -3*k. What is the remainder when k is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -599 or -598?\nAnswer: -599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Suppose 5*a - 88 = -2*n, 0 = -3*a + l*n + 32 + 27. Let m = -10 + a. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 195 - 3069*u + 6182*u - u**2 - 3051*u = 0.\nAnswer: -3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*j - 2*n + 7, 2*j = -n + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -45. Let k = 41 + l. What is the remainder when ((-58)\/4)\/(3\/(-6)) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.016872 and 139807.994?\nAnswer: 139808.010872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 11 + 5*y)*(0 + 3 + 0) + 35 + 961*y - 1892*y + 947*y to the form v + w*y and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 3*j**2 + 5*j + 6. Let m be q(-4). Solve -3*i = -4*r + m*i - 7, -3 = -i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 6 = 2*l + 21, 3*l = -r + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16325 divided by 1?\nAnswer: -16325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*3\/15*2. Let t be 75\/10 + 3\/n. Suppose t*p + 23 - 185 = 0. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 798930706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543143 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 - 137.83. Let i = -108.17 + w. Let h = i + 106.878. Round h to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147113 - 101122. Let n = j + -45993.99984. Let x = n - -3. Round x to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2895 + 5679. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 23212?\nAnswer: 23205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42 - 42 + 7*n**5 + (0 + 1 - 7 + (-5 + 5 + 1)*(-5 - 6 + 3))*(0 + 0 - n**5 - n).\nAnswer: 21*n**5 + 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -785, -1457, -2107, -2735?\n\"Answer: 11*w**2 - 705*w - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 12:28 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d + 105. Let t(y) = -y + 4. Let k(b) = 6*b - 16. Let a(q) = k(q) + 4*t(q). What is i(a(l))?\nAnswer: 8*l + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*x - 35*x - 10. Let i(h) = h**2 + 5*h - 3. Let k be i(x). Is 19 a factor of (19\/k)\/(2 - 215\/105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - -1a8c?\nAnswer: 1a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/21 - (-46)\/14. Let z = 16 - 12. Suppose x*b + 6*m - 49 = m, -z*b + m + 73 = 0. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(0 - 6 + 2)*(64*z + 1778 - 1778).\nAnswer: -768*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 4, t: 3, w: 3, d: 2, m: 2}. What is prob of picking 1 m, 1 l, and 2 t?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1523152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/21 + (-19857)\/69573. Let l = -321365\/13252 + j. Find the common denominator of -17\/12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -1\/4 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2889, -2\/21, 0.14?\nAnswer: 2889","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 - -7.3. Let k = 8.5 - t. Let p = -259 - -1291\/5. What is the third smallest value in k, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201962.501 to the nearest one thousand.\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.366 and 1024214.\nAnswer: 1024215.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -153737*x**3 + 235*x**2 - 470*x + 235. Let c(o) = 1314*o**3 - 2*o**2 + 4*o - 2. Determine -470*c(s) - 4*l(s).\nAnswer: -2632*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22549*a**4 - 3*a**3 - 4121*a**2 - 30 wrt a.\nAnswer: 541176*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 336?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7914 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.01 + 3. Let z = f + 3.01. Let c(i) = -i**3 + 31*i**2 + 100*i + 66. Let l be c(34). What is the second biggest value in 1, z, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let j(p) = -5*p**2 + 4*p**2 + 3*p**t. Let x(l) be the third derivative of l**5\/30 + 4*l**2. Determine j(x(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18999 by 6137.\nAnswer: 18999\/6137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 1736?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/373, -8.12, 2\/3 in decreasing order.\nAnswer: 2\/3, 4\/373, -8.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1464311*v**4 - 7868088*v?\nAnswer: 17571732*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41383.13 or -14\/17?\nAnswer: -41383.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsnsffnfss. What is prob of picking 1 s and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:01 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 245002?\nAnswer: -244887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {d: 4, p: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {c: 1, i: 1, y: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 83695*o. Let i(u) = -137*u**2. Calculate k(i(z)).\nAnswer: -11466215*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40986\/158508 + -1 + (-15)\/(-17). Let o = -1\/518 - c. What is the common denominator of 22\/35 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.7819 to 0 decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514454685 divided by 9039.\nAnswer: -56915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 294 (base 10) to base 16\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15330 = -47*p - 68*p - 17200 - 9515 for p.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/28)\/((-6)\/(-42)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13*k**2 + 303*k - 59. Let n be y(23). Solve -n*g = -32*g - 8 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5568 * -0.097.\nAnswer: 0.0540096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*35\/(-20) + -10 + -7 + 10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 4284.\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 - 1 + 0 + u**2 to the form x*u**2 + w + p*u and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:25 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:39 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 28*v - 15. Calculate o(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 146*d**2 + 10*d - 43. Let n = 52 + -48. Is z(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1676\/5 - 334. Let l be (-80)\/(-198) - (-2)\/(-9). Put 1, l, i in decreasing order.\nAnswer: i, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -23*y**7\/105 + 41*y**3\/2 + 3*y**2 - 25. Differentiate z(p) wrt p.\nAnswer: -184*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*i - 7*i + 5, -4*i - 5*v + 6 = 0. Let x be (14 - 10) + (-27 - i). What is the units digit of (-826)\/(-10) - x\/55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-28) - (-3 - 30\/21). Suppose -2*w - 4*v = -265 - 99, w - 175 = p*v. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.5*16.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130444 is divided by 20917.\nAnswer: 4942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2952583\nAnswer: -14762915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27082830.9 rounded to the nearest one thousand?\nAnswer: -27083000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18753 = 28*v - 9415. What are the prime factors of v?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1. Let x(j) = 6*j**2 - 18*j - 48. Let t(v) = -4*v**2 + 11*v + 29. Let q(w) = -18*t(w) - 11*x(w). Give -24*h(i) - 4*q(i).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/18 - (-580)\/(-522). Let j = 77898\/79 + -986. Which is greater: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j - 2*j. Suppose j = 4*i - 3*s - 7, 47 - 19 = 4*i + 4*s. Solve 4*f = 4*z - 4, -i*f + 5*z - 7 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 10. Suppose y - 5*q - 71 = s, -3*y - q = -84 - 49. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -742223.4 - -3?\nAnswer: -742220.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 5)*4.\nAnswer: 20 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 1007952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 19*i**5 + 7*i**3 + 591*i**2 + 9. Let d(l) = -9*l**5 - 3*l**3 - 296*l**2 - 4. Let n(k) = -9*d(k) - 4*v(k). Find the third derivative of n(m) wrt m.\nAnswer: 300*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -47, -4, 293, -3, 0, -1 in descending order.\nAnswer: 293, 5, 0, -1, -3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 462*z + 467*z - 1889*z + 471*z + 487*z.\nAnswer: -2*z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6783 - -9708. Suppose -2*b + 3*f + 2933 = 0, 3*b - b + 5*f = x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46148069*d*x + 86477853*x wrt d?\nAnswer: -46148069*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + (-3 - (-6 + 20 + 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f + 138 - 274 + 136.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1308 and 313266.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*l + 36*l + 195*l + 30*l.\nAnswer: 317*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(4\/80*4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3917681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 18. Let g(p) be the first derivative of 1\/3*p**3 - 3*p + 0*p**y - 3. Find the first derivative of g(c) wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11647\/4956 + -5\/708. Let v = -24 + -4. What is the common denominator of p and ((-321)\/v)\/((-18)\/12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1, 3\/7, -0.74?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 = 15*h + 287 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millisecond in microseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**3 - 4*a**3 + 2*a + 2 + 2*a**3 - 1. Calculate the remainder when l(-1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**5 + z**4 + z**2 - z. Let r(q) = -4*q**5 + 3*q**4 - q**2 - 14*q. Let p(g) = 3*o(g) - r(g). What is the second derivative of p(v) wrt v?\nAnswer: 140*v**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3151*n - 6*n**3 - 3135*n - 7 + 6254*n as y*n**2 + q*n**3 + b + j*n and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvssvuxxuvuvuuuzv. What is prob of picking 1 v and 1 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9541 is divided by 3160?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192966, 385938, 578910, 771882, 964854?\nAnswer: 1157826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807639800.\nAnswer: 2, 5, 11, 83, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 16*u**2 + 19*u + 11. Determine g(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333924 is divided by 7250?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (7\/(-2))\/((-24)\/48). Sort 4, d, -3, 65, 2 in descending order.\nAnswer: 65, d, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403022.\nAnswer: 2, 67, 79, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -15 (c) -2.3 (d) -0.5 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (8 - (4 + 2))) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexeee. What is prob of sequence exe?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 121*-88\nAnswer: -10648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1)\/(-1*(4 - 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 591 and 4?\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -112.9522256 and 2.\nAnswer: -110.9522256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/30 and (-92)\/(-69) - (-41)\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 13366 + 17759. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 249e (base 15) to base 11\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2090382 - -1490382. Round j to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 566545\/512 or 1107?\nAnswer: 1107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 311*g*o**2*u - 5*g*u - 63*g - 14077*o**2*u - 78*o**2 wrt g?\nAnswer: 311*o**2*u - 5*u - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 815689 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -1\/5 (b) 0.4 (c) -11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (36 - 15) - (-2 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5 + 1239*z**4 - 80991*z**3 - 57420831*z**2 - 788495424*z - 1850985180 = 0 for z.\nAnswer: -302, -11, -3, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178293*u = 178542*u + 11309 + 2884 for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 85, -0.4, -3 in descending order.\nAnswer: 85, 10, -0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38411 = 30*c - 38501 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4676 = -4*h + 4*f, 2*f = -2*h - 2326. Let o = -2280 - h. Let z = 1791 + o. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.16 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 59*y - 58*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-2)\/3)\/((-56)\/(-16))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162157 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -12278311 and 1776201.\nAnswer: -10502110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.081 + -0.081. Let q = a - 24.4. Let k be (-4)\/15*10\/4. What is the nearest to k in 1\/8, q, 9\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 232 - 373 - 8 + 389*n - 377 - 310. Let f(l) = 260*l - 558. Let t(w) = -8*f(w) + 5*v(w). What is the derivative of t(k) wrt k?\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 911 divide 3285066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 423*b + 1071*b - 258*b as n*b + r and give n.\nAnswer: 1236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-40)*-2*4080\/(-32). Find i such that -87\/2*i**2 - 3*i + 9*i**4 + 12 + a*i**3 = 0.\nAnswer: -4, -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 54*j**2 - 2*j - 55. What is v(-27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-26\/3)\/(s*((((s*(s**(-1\/13)\/s)\/s*s)\/s)\/s*s)\/s*s)\/s))\/(s**(-12)*s**(-21)*s*s) assuming s is positive.\nAnswer: s**(913\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 22*n**3 + 51 + 55 - 162 + 55. What is j(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 0 - 50\/195. Let p = h - 14\/13. Let v = 0 + 0. Which is the biggest value? (a) -2\/7 (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -602 + 1037. Suppose 0 = 5*i + 2*h - w, 3*i - 348 = -i - 2*h. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 33 = 4*l, 3*a + 4*l - 141 = 2*l. Suppose -5*h + a = -0*h. What is the highest common factor of 108 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.030096 + 0.03. Round r to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 7*r - 17046. Suppose -22*j - 5914 = -r. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-1)))**(7\/5)*((d*(d\/d**4)\/d*d)\/d*d)\/d*d**1*((d**(-7)\/d)\/d*d*d\/(d*d**(-4\/3)*d))**(-42) assuming d is positive.\nAnswer: d**(1607\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -18*k**2 - 14*k + 6. Let r(i) = -17*i**2 - 17*i + 9. Determine -3*q(f) + 2*r(f).\nAnswer: 20*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r\/r**1))\/r))**(1\/16)*r**5\/((r\/(r**(1\/3)\/r))\/r))**42 assuming r is positive.\nAnswer: r**(1477\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dnnnppnndnn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-17)\/(k\/k**2*k) assuming k is positive.\nAnswer: k**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let g = m - 3.5. Let b = 0.5 + g. Is b >= 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + 3*n)*(-17 + n - 8 + 24) + 0 + 0 - n**2.\nAnswer: 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -38*t**3 - 21*t**2 - 8*t. Let z(h) = 25*h**3 + 14*h**2 + 5*h. Let p(q) = 5*w(q) + 8*z(q). Find the third derivative of p(i) wrt i.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*q - 155*q - 74*q - 2552 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1383?\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1384973 divided by -317.\nAnswer: 4369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 plus -0.169?\nAnswer: -1.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9484 divided by 9484?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*s = 229*s - 455*s - 330. Let c(w) = 68*w + 3. Let n be c(3). Let f = n - 119. Calculate the highest common divisor of s and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 14*o - 39. Let g be c(10). Is (g - (-3)\/((-3)\/(-4))) + 3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3357, -6727, -10097?\n\"Answer: -3370*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072 = -5*a + 988. Let s(t) = -2 - a*t + 832*t - 416*t + 0. Suppose 0*i + 4*i + y - 11 = 0, -2*y = -i + 5. Let o(h) = 5*h - 2. What is i*s(d) - 2*o(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*k**3 + 175*k**3 + 0*k**2 - 2*k**2 + 2 + k**4 as b*k**2 + t*k + j + l*k**4 + o*k**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c**2 + 1. Let h be i(1). Let g = h - -5. Let a be 2\/(g\/(-3)*1). Solve -4*u - u = -4*o - 16, 5*o - 2*u + a = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 837 or 6162?\nAnswer: 837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j - 53. List the prime factors of l(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y = 0. Suppose i = -y*i + 3. Solve 2*j + i = 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133053.\nAnswer: 3, 44351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -4. Let l be (-1 + 0)\/(p\/2). Is 2*(0 + 85\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3))\/(o\/o**3))**35*(o**4*o**(1\/7))\/(o**2*o)**(-2\/3) assuming o is positive.\nAnswer: o**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5\/9 + 6*o**4 - 544*o**3\/9 + 2624*o**2\/9 - 2048*o\/3 + 5632\/9 = 0. What is o?\nAnswer: 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6174\/(-588)*(620\/(-96) + 1 - 1\/(-8))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-2 + 4 + -1). Let i = x - -15. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - v - 110291 = 0, -32515 = -2*n - v + 22626. What is n rounded to the nearest one hundred?\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and 9550.\nAnswer: -16235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(224) + sqrt(224)*-2) - sqrt(224)) + sqrt(224))\/(2*sqrt(648) - (-5*(sqrt(8) + sqrt(128)) - sqrt(8)))*4.\nAnswer: -6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**35\/(k**(-1))**(-1\/35)*(((k*k**(-7)*k)\/k)\/(k*k*k**(-7)*k*k*k))**(-2) assuming k is positive.\nAnswer: k**(1783\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**6\/144 + 7*p**5\/240 + p**4\/24 - p**3\/6 + 3*p. Let q(o) be the second derivative of h(o). Factor q(r).\nAnswer: (r + 1)*(5*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20.08628951 and 34.5.\nAnswer: 14.41371049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 693 - 2957 = 3*p, 4*p = 2*y - 3646. List the prime factors of y.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/((-19)\/(-38)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 6. Let o(a) = 2*a. Give s(o(z)).\nAnswer: -6*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 15*f + 13. Suppose 3660 = 2*k + f*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/7 - 8472*i**4\/7 - 67892*i**3\/7 - 51008*i**2\/7 + 48510*i - 212200\/7 = 0. What is i?\nAnswer: -5, 1, 4244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11243111692.4 and -12463.\nAnswer: 11243099229.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2*i**2 + 7. Let g(z) = -z**2 - 7*z + 2. Let m be g(-7). Let p(a) = a**2 + 2*a**m + 2*a**2 - 3*a**2. Give p(s(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/v)**(-48) assuming v is positive.\nAnswer: v**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 18*u - 14*u + 3*i, 3*u - 4*i - 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 9*w + 2 = -5*p, w + 3*p - 18 = 0. Suppose -18*r = -21*r + w. What is b in 4\/5*b - 4\/5*b**3 - 2\/5*b**r + 2\/5 + 0*b**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9262100.\nAnswer: 2, 5, 23, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*g**4 - 3*d*g**2 + 7486*d*g + g**3 - 85*g**2 - 1 wrt g?\nAnswer: 36*d*g**2 - 6*d + 6*g - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2596000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -301.05 not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 14 = -124. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9055 + 9059. Solve 4*l = f*c, -8*c = 4*l - 9*c + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171387077151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1 + 3 + 1814*l + 1424*l in the form z*l + s and give z.\nAnswer: 3238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -80, -0.24, 2\/33, 1\/4?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttlttltttl. What is prob of picking 3 l and 1 t?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5 + 55 = 0. Calculate the common denominator of 27\/7 + r + -11 and -71\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-10))\/(2\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000903 to 6 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/12*4400\/(-385)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/23*3324\/79776?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1749726 - 10529581\/6. Let g = s + 5193. What is the common denominator of g and 37\/166?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(2 - -8) - 252\/(-240). Which is the third biggest value? (a) n (b) -0.5 (c) -3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, k: 1, c: 1}. What is prob of picking 1 k and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 a when three letters picked without replacement from {a: 1, w: 5, x: 1, b: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 17*a**2 - 60*a + 429. Determine l(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06857 + -0.16857. Which is bigger: 19232 or y?\nAnswer: 19232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 363 = 5*f. Let a = -31 + f. Suppose -4*s + a = -6*s. Let j(n) = -10*n + 1. Give j(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -c + 41, 2 = -2*a + 3*c + 5. Let w = -41 + a. Let z = w - -34. Solve 0 = s - z*s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(21) + (sqrt(168)*-2)\/sqrt(8) - sqrt(105)\/sqrt(5)*4))\/(-2*((sqrt(120)*-1)\/sqrt(10))\/sqrt(4)))**2.\nAnswer: 4375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48011131601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -712*n**2 + 734*n**2 - 11*n**4 - 11*n**4 wrt n.\nAnswer: -528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/141 in 1, 0, -0.5, -0.21, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.741073ng in grams?\nAnswer: 0.000000006741073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*q**5\/11 + 339*q**4\/11 + 160*q**3\/11 - 52*q**2\/11 = 0. Calculate q.\nAnswer: -2\/3, 0, 2\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (6 - 7) - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3748 - -b0a2?\nAnswer: 1181a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 6 + 14 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(3\/4)*t**(-19)*t)**(-14\/9))**43)**(-19\/2) assuming t is positive.\nAnswer: t**(-131537\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-66)*-8*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*v + 21*v - 53*v + 65 - 9 + 13*v to x*v + t and give t.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17021269 is divided by 12272.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f - 3*f)*(1 - 8 - 1)*(-f - 3*f + 5*f)*((-f - 1 + 1)*(-4 + 4 + 2) - 3*f + f + 3*f + 0*f - f + 4*f)*(-2*f - 2 + 2).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3484.434 - -49.01989.\nAnswer: -3435.41411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -24, -3\/5, 3\/10?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g = 25*g + 2*c - 60, 95 = 2*g - c. Calculate the greatest common divisor of g and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h = -2*h + 57*h + p + 14, 8*p = -3*h - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -0.46, -4?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.61 + -1.61. Let f = 11 + i. Let k be (0 - (-52)\/(-24)) + 2. Which is the second smallest value? (a) 4 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 7*z**2 - 3*z - 3. Let c be x(6). Let q = -263 + 265. Find the third derivative of -c*b + 15*b - b**4 - 4*b**2 - 5*b**q wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -28*y + 15. Let p be 1*8\/36 + 130\/(-18). Is u(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3220512 (base 8) to base 12.\nAnswer: -355b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/44 + 5\/4. Let r = y + -13\/44. Suppose 24*q - 50*q = 26. Which is bigger: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724497 is divided by 300.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013888606 to five dps.\nAnswer: -0.01389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h**2 - 3*h - 2. Let g(n) = -32*n**2 + 9*n + 6. Let s(b) = 2*g(b) + 7*z(b). Let j be s(-2). Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*v**2 + 904*v**2 - 237*v**2 - 229*v**2 - 235*v**2.\nAnswer: -31*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 1 - 1)*(4*f**3 - 2*f**3 - 28*f**3).\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 311*p**2 - 92.\nAnswer: 622*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40247259 to the nearest integer?\nAnswer: 6344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 7*a**2 - 8*a - 10. Determine j(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 256517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/13 - 122*z**3 + 21052*z**2\/13 + 5952*z = 0. What is z?\nAnswer: -806, -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07986018, -5, -0.4, 1\/3?\nAnswer: 0.07986018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9930 equal to -9931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/2 + 6\/(-4). Let h(k) = -k**2 + 7*k + 10. What is the smallest common multiple of 22 and h(i)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -90, -109, -126, -141, -154, -165?\n\"Answer: c**2 - 22*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414027633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 34*s**2 + 95*s + 5976. Give b(-36).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -991.254 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 93. Calculate the remainder when f is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 48, 2\/11, -2\/101, -1\/2, 1\/5, 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -624.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + t**2 + t + 10. Let p be q(0). Suppose u - 6 = 4. Suppose -5*o + u = -p. Solve y + 20 = -o*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130192958.\nAnswer: 2, 7, 41, 226817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140911 by 43.\nAnswer: 3277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 355320 - 355319.80999975. Let y = -0.19 + q. Round y to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-7))\/(y\/(y**(3\/2)*y)*y))**6 assuming y is positive.\nAnswer: y**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6701.\nAnswer: 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -10.5. Let u = 1 + l. Let r = -4.68 - 0.32. What is the biggest value in u, r, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22966*h = -13086 + 1176987 + 817940 - 489051 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 20 (b) -0.4 (c) 435 (d) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14999241*f**4*y + 3*f*y - 3025023*y - 3 wrt f.\nAnswer: 59996964*f**3*y + 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 233477?\nAnswer: -256824.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 189? (a) -1 (b) -0.4 (c) -28 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.34? (a) 0.1 (b) -9 (c) -3 (d) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.56156375 to one decimal place.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-15 + 14 + (2 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 9\/5, 2\/13, 1\/4, 7\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 411?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 1633*h**2\/4 - 108780*h - 6742800.\nAnswer: (h - 1873)*(h + 120)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156 + 155.7. Which is the third biggest value? (a) i (b) 3 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*c**3 - 8871584*c**2 - 4435780*c - 554472.\nAnswer: -4*(c + 138618)*(4*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/(-99))\/(1\/6*-1). Let j be (v*(-2)\/6)\/(4\/12). Suppose -5*g + j*g + 117 = 0. What is the greatest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -4, 10 in increasing order.\nAnswer: -4, 1, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 (base 8) in base 13?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*z - 87*z + 51*z)*(18 - 11 + 10)*(z**4 + z**2 + z**2 - 2*z**2).\nAnswer: 170*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m - 5. Let u(g) = -g. Let t(w) = -a(w) - 5*u(w). What is the lowest common multiple of t(-1) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*j - 14. Let r(q) = -14*q - 9. Is r(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 + d**2 - 4*d + 30. Let t be h(-20). What is t rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-351)\/(-6) - 3\/18*3. Suppose 4*o - 4*q = -6*q + g, 13 = o + 2*q. Solve 4*a = a - o, 5*a = 2*p - 27 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -230857*w**3 + 600088?\nAnswer: -692571*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2 - 3 = -4*p, 0 = 4*j + 3*p - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -4. Suppose -8*p + v = -34. What is the highest common divisor of 24 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21988 + 22600 + 21422 = -805*y for y.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15 + 13 - 2 - 3*b. Let x = -10 + 4. Give p(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**2 - v - 2. Let o be (-54 + 42)*3\/6 - (1 + -12). Let g(r) = -13*r**2 + 2*r + 4. Give o*n(c) + 2*g(c).\nAnswer: 4*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -909 + 913. Let t = -11 - -19. Calculate the least common multiple of t and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1596.\nAnswer: 3192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 - 13*t**3 - 6*t**3 + 22*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(38\/(-12) - -3) + 17. Solve a = 14*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (142135\/(-786))\/155*(-3)\/(-476)?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165 + 169. Solve 4*u = -h + 2, -4*u - 2*h + r = -6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 499*g + 508*g + 34.\nAnswer: 9*g + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w - 6 - 9*w - 3*w + w**2 - 10*w + 43*w. Determine t(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 42 = -p, 33*o = -3*p + 38*o + 126. Solve 6*l - p = 20*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*i**2 - 9 - 2 + 11.\nAnswer: 416*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/30 and -99\/32.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 - -0.6. Let g = u + -0.25. Which is the closest to 2\/7? (a) -7 (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-13 + 21) - (0 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 96.\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/94, -0.3, 0.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -18\/7, 2172, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20376, 20240, 20102, 19962, 19820, 19676?\n\"Answer: -o**2 - 133*o + 20510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3589 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8444247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.59 - -1.7. Let g = 0.3 - s. Which is the nearest to 1? (a) -0.1 (b) -5\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*16\/2688*14 + (-61)\/(-3). Solve -5*x = -s - 7*x - 13, 4*x = -g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(343) + sqrt(343)))**2 + sqrt(343) + 1 + -3 + sqrt(343).\nAnswer: 14*sqrt(7) + 111130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26676 - 354.4542\nAnswer: 26321.5458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c - 6. Let b(m) = m**3 - 2*m**2 - 2*m. Let w be b(3). Let t be 519\/18 - 3\/(-18). Let q(r) = -4 - 31*r + 9 + t*r - 8. What is w*l(p) - 5*q(p)?\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 111 = 145. Which is smaller: c or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 2. Let y be l(5). Suppose 7*s + 21 = -y. Let f(g) = g**3 + 4*g**2 - g - 1. Let b be f(s). Solve -b = -j + 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38.6 or -0.1?\nAnswer: -38.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/9 (b) 0.8 (c) -1.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 102 - -12403d?\nAnswer: 124141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 4 = 0. Suppose 2*r + 4*z = -6, 0 = -3*r - 2*z - 1 + 4. Suppose -n = r*d - 40. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22044113 (base 5) to base 15\nAnswer: -3b6c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(153) + 3 + -5 - (3*-2*sqrt(153) + 6*(-1 + sqrt(153)))**2.\nAnswer: -43 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -46, -45, -20, 35, 126?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, u: 3}. What is prob of sequence ub?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {v: 3, e: 2, o: 1, b: 1, d: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1318?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0.112, 1\/16, 4 in decreasing order.\nAnswer: 45, 4, 0.112, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-9\/5)*p*p*p**(-10)*p)\/((p*p**(4\/11)*p)\/p*p*(p\/p**8)\/p))**(-28))**16 assuming p is positive.\nAnswer: p**(77952\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60961193 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -307b + 5ca2?\nAnswer: 2c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -2*g - 144. What is the highest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 4250657?\nAnswer: 2125328.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, 3\/4, -590?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1500\/775 - (-10)\/155. Let z(i) be the second derivative of 19\/12*i**4 - 17\/2*i**g - 12*i + 0*i**3 + 0. Find the first derivative of z(u) wrt u.\nAnswer: 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.8836 - 0.1196. Let o = t + -0.064. Round o to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.044*-36\nAnswer: -1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -418352\/75 - -5579. Calculate the common denominator of ((-4)\/(-8)*16)\/(-9) and t.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/9)\/((-806)\/2418)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -0.5, -192, 656\/31 in descending order.\nAnswer: 656\/31, -0.5, -39, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611982 and 23646?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1215187, 1215184, 1215179, 1215172, 1215163, 1215152, 1215139?\nAnswer: 1215124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24740*n**3 + 12834*n**3 + 11850*n**3.\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76729 is divided by 406.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -121 - -58 - 2624\/(-82)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 87, 119, 151, 177, 191?\n\"Answer: -o**3 + 6*o**2 + 21*o + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 215988 = -3*c, -5*f = -3*c + 216020. Suppose -8*t = -0*t + c. Round t to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znyu when four letters picked without replacement from ynzzuyun?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/480804 and -31\/14004.\nAnswer: 1442412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.88 + -0.12. Let o be (8\/(-36))\/(4\/6). What is the third biggest value in y, o, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 933 = 1681. Let c be 3*1 - (-3)\/(-3). Suppose 2*b = -3*z + u, c*z - 150 = 2*b + 3*b. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 76*a - 682\/9.\nAnswer: -2*(a - 341)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 703 - 696. Solve -g*w + 3*y = -4*w + 6, w + 5*y - 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 8. Suppose 3*j = 10*j + 77. Let g = i + j. Which is smaller: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 4975 + 5025 = 0. Suppose 3*r = 2 + 10. Let z(v) = v**3 + 2*v**2 + 5*v - v**2 + 7 + r*v**2. Calculate z(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-10) - 136\/340?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87, 173, 273, 393, 539, 717, 933, 1193?\n\"Answer: j**3 + j**2 + 76*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/33 and 71\/4968.\nAnswer: 54648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 5, 4, -1\/30, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/18233?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -24 (c) -19\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2) - (-5 + 0). Suppose 10 = -4*j - 6. Let q = z - j. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.95 - 3. Let t = -112 + 111.95. Let z = t - h. Put z, 1\/3, 0.4 in descending order.\nAnswer: 0.4, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 29 = -8*g + 6*g, -c + 5 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1401 and -71\/18?\nAnswer: 8406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 1 - 1) + 1. Let r = p - 4. Solve 0 = -q + 2*v + r*v + 22, 0 = -5*q + 3*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 284, -3, 4 in descending order.\nAnswer: 284, 5, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 2*j**2 + 2*j + 388. Let i be y(0). Let m = i + -394. Sort -2\/5, m, -0.5 in increasing order.\nAnswer: m, -0.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.17586 - 0.17586. What is the fourth smallest value in -47, -1, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186 less than 1.088?\nAnswer: 1187.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8291 + -8286. Let t = 102 - 403\/4. What is the closest to h in t, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/25*(-3)\/(-6)*1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97924.18t in milligrams?\nAnswer: 97924180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Let r be 48\/(-270)*10*1\/4. Put n, -0.14, r in descending order.\nAnswer: n, -0.14, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 109 - 5 = -2*c, -3*c = 3*x - 54. Let i be (x\/15)\/(4\/6). Solve i*m + 2*m = -16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266804666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:52 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/23, 3, 2\/7?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34781 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-20) - 1\/5. Let q = 3.5 + -3. Which is the closest to -1? (a) -3 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146772 = -11*n + 119813. Suppose 4*d = -5*x + n, -13*d + 9*d + 14541 = 3*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 342 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19173084 divided by -9586542.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1, 2, -4, -1 in descending order.\nAnswer: 23, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3017300 divided by -14300\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Let j = u + -2. Let g = 39 + -275\/7. What is the second biggest value in -6\/7, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - h = g - 44, -3*h - 50 = -5*g. Let b = -10 + g. What is the remainder when (198\/(-2))\/(b - 4) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/((-3*sqrt(132) - sqrt(132))\/sqrt(11)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/56 - 2)*6. Let b = 905\/7 - 129. Let c = a + b. What is the common denominator of -7\/8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-5) - 13\/(-5)) + 57. Differentiate 17 + 3 - x*n**2 + 54*n**2 wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 7*a**2 + 7*a + 9. Let r be z(-6). Is ((-39)\/6 - 1)*(-21 - r) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*a**2 + 352*a**2 - 1480*a**2 + 200*a**2.\nAnswer: -424*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 - -117. Suppose -3519 = p*d - 15569. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 6*k**2 + 6*k + 5. Let r be q(7). Let v be ((r - -2)\/1)\/1. Find the second derivative of 0*w + w + v*w**3 - 2*w + 2*w**3 wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -39 - 15. Let l(w) = w**2 + 3*w + 3. Let i be l(-3). Let y be (2\/6)\/(i\/t). Solve -c + 5*r - 3 - y = 0, -c + 3*r = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 74*j**3 + j**2 + 5*j - 5. What is o(1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/40)\/(-16 - (-1106)\/70).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/243 - (-497)\/(-882)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 + 4236\/(-252))*(-6)\/4. Let c = -2.04 - -0.04. What is the closest to 1 in b, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4 - 286*n**3 + 10644*n**2 - 29960*n + 19600 = 0?\nAnswer: 1, 2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 5*j + 5*j)*(-2 - 19 + 1).\nAnswer: -220*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 31 = 66, 98008 = s + 3*k. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 9*q - 2. Let a be p(-8). Let z(y) = y - 8. Let i be z(a). Let d be (1\/(-1) + 3)\/2. Sort 3, i, d.\nAnswer: i, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*f, -4*m = -3*f - f - 80. Let z = -7 + 5. Let b(c) = 17*c**2 + 2*c - 2. What is the remainder when b(z) is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 + -0.4. Put 2\/11, -0.4, u in descending order.\nAnswer: 2\/11, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 2. Let a be f(-5). Let v = a + 15. Suppose 1959 = 22*b + 287. Calculate the remainder when b is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5192 - -0.09?\nAnswer: 5192.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgwaugaooogaagjaoguw. What is prob of sequence wawg?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - p - p + 28, x + 2*p = 12. Let z be 9 + 3 - (4 - x). Solve -6*f + 3*f = -z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 = 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36750 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**5 + 2*o**5 - 6*o**5)*(-7902 + 3868 + 3949 - 3 + 4 - 3 + (3 + 1 - 1)*(-1 - 2 + 4)).\nAnswer: 84*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -164879 less than or equal to -164879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-144)\/(-27))\/(-4))\/((48\/(-832))\/(333\/148))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3*t**2\/2 + t + 6. What are the prime factors of h(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5210?\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.1, 0.32, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 4*i + i)*(5*i - 4*i + 0*i) - 1670 - 3*i**2 - i**2 + 1551 to j + u*i**2 + b*i and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4.3, 2, 0.13, -8\/7, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*o = 9, -4*o + 0*o - 4 = 0. Suppose 4*p = -0*p + l*y + 40, 52 = 5*p - 4*y. Suppose 385 = p*t - 7*t. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-9 + 0 - -5) + 1 - -9 - 24\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7746027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 11*s - 1. Let q be t(11). Calculate the common denominator of -56\/11 and (q\/(-16))\/(1\/(-10)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3, 102, -0.01, 2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*1)\/(sqrt(11) - 2*sqrt(22)\/sqrt(2)) + 1.\nAnswer: -sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 6, v: 1, h: 6, r: 1, w: 3}. What is prob of sequence ryc?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 118*i + 431. Let x(w) = -2*w. Give l(x(p)).\nAnswer: -8*p**2 - 236*p + 431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 842\/(-3256) - (-15)\/20 - (-1152)\/(-2112).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 - 63*h + 28*h + 35*h - 2831*h**3 + 2834*h**3.\nAnswer: 3*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6)*-1)\/((-52)\/(-78)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + f + 3, -3*f - 4 - 5 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -125424, -501718, -1128880, -2006910, -3135808, -4515574, -6146208?\n\"Answer: -125434*l**2 + 8*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012677533 to seven dps.\nAnswer: -0.0012678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112129103.\nAnswer: 112129103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 12890 = 5307. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-1364)\/(-8)) + ((-328518)\/(-19530) - 17)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/3*(-2)\/((-10)\/(-1455))?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 + b**2 + 2*b + 1. Let i be l(-1). Let f be (i\/2)\/(9\/(-12)). Let y(d) = -5 - d**f + 5. Let j(c) = -c**2. What is y(j(m))?\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**3 - 15*i**2 + 19*i - 29. Determine h(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.769 - -587673883869.\nAnswer: 587673883870.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -25.95. Which is the second biggest value? (a) 1\/10 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(39) - (sqrt(39) + -3*sqrt(39))) - (sqrt(39) - sqrt(1404)*4 - sqrt(39)))\/(sqrt(27)*2 - sqrt(9)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: 9477\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1285 - 56014.\nAnswer: -54729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33779?\nAnswer: 17, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + -112101?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 + 124. Solve 0 = 5*f + b, 0*f - s*f = -3*b + 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(1\/11)\/s))\/s**(-2\/23)*((s\/(s\/(s\/(s\/(s\/(s\/s**(-1)))))))\/s)**(2\/53) assuming s is positive.\nAnswer: s**(39162\/13409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359 + 355. Is a not equal to 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/3 + 139076*j**2 - 34753375*j + 6515281250\/3 = 0 for j.\nAnswer: 125, 416978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14615795409721*a**2\/2 + 7646122*a - 2 = 0 for a.\nAnswer: 2\/3823061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -891, 3, 185, 1, -2.\nAnswer: -891, -2, 1, 3, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2410233.\nAnswer: 3, 7, 114773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4951 is divided by 1613.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 - -115. Let h(w) = 2*w**2 + 56*w + 5. Let t be h(b). What is the highest common factor of t and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**11\/g)**(-3\/26)\/((g*g\/((g**(1\/21)*g)\/g))\/g*g**(-17)\/g) assuming g is positive.\nAnswer: g**(4276\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*j - 3*j - 5*m, 16 = 4*m. Let a = -13 + 8. Let b = a + 2. Sort 4, b, j in decreasing order.\nAnswer: 4, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 8) in base 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2233 - 10115.5851.\nAnswer: -12348.5851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 89 - 117. Calculate the least common multiple of d and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 65*s + 708. Calculate y(-49).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 3.53 (c) -3 (d) -5 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -21, -28, -33, -36?\n\"Answer: g**2 - 12*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 238 = -4*c, 8*c = 6*c + 4*d + 128. Suppose 0 = 4*l - 2*l - c. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707688941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -468 + 1593. Let t = 8987\/8 - i. Calculate the common denominator of (-153)\/10*(-15)\/18 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -3 + 4*t + 0*t**2 - 7\/3*t**3. Let k(f) = 13*f**2 - 7. What is 6*k(b) + 11*z(b)?\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/12 - w**3\/6 + w**2\/2 - w. Let q be n(2). Let h(y) = -7 + 2 - y - 1. Determine h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6678 and 7304472.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 4*r**2 - r + 2. Determine n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) + (-62)\/(-3). Let u be 1*(3 + 0\/1). Suppose 2*t - 3 = u. What is the greatest common divisor of t and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7816, -15633, -23450, -31267, -39084?\nAnswer: -46901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 3.1 (c) -14 (d) 2\/41 (e) -112 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.1 + 5.9. What is the closest to z in 1\/2, -7\/6, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11098706763 - 11098707066.00247935. Let n = f - -312.002479. Let u = n + -9. What is u rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d + 31. Let o(p) = 14*p - 53. Let k be o(3). Let q be w(k). Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86334 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 20*p**3 + 5*p - 4. Let y(i) = -30*i**3 - 8*i + 6. Let h = -10 + 2. Let u(t) = h*x(t) - 5*y(t). What is the derivative of u(v) wrt v?\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from {b: 1, n: 2, f: 1, g: 3, m: 5}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/12*2 + 11342\/(-44). Let m = -257 - v. Is m at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 bigger than -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -454) + (-1008)\/(-84). Calculate the highest common divisor of 216 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 691?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((11 - 21) + (-66 - -45) - (-1 - -2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-412744)\/18 - (-616)\/(-2772). What is the highest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 487, 746?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2378, 0.17, 2\/15, 0.3319?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 6 = 34 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6596 and 1366?\nAnswer: 4505068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 48*j + 30. Give d(16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1277200 to the nearest 10000.\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451219609 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/36208 and -19\/280.\nAnswer: 1267280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -40*(-1 - 1\/(-2)). Let q = 44 - p. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526950.\nAnswer: 2, 3, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cacqwrrwrsrscc. Give prob of picking 2 c.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1455128 to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z, f - 3*z - 545 = 437. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -43*b**3 + b**2 + b + 1. Let m be z(-1). Suppose -m = 2*l - 6*l. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) 2 (b) -176 (c) 19 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:34 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.71 + -1. What is v rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -7.35. Let w = d + 51.65. Let y = w + -51.00000248. Round y to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1599695661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 472 and 354.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-1107)\/(-15) + -1. Let d = o - 71. Let m = -1286\/7 - -184. Which is the biggest value? (a) m (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzryqgqqaq. Give prob of sequence ry.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25b - 319b?\nAnswer: -2c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1359142, 1359221, 1359362, 1359571, 1359854, 1360217?\nAnswer: 1360666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5647*y - 2464. What is the units digit of s(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 195 + a?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(7030\/20) + 16080\/304?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t. Let r(s) be the second derivative of 7*s + 3 + 8\/3*s**3 + 0*s**2. What is h(r(p))?\nAnswer: 64*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -102 + -130533?\nAnswer: -130635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**(-2\/11)\/((m*(m\/(((m*m**0*m)\/m)\/m))\/m)\/m*m\/(m\/m**(-1\/6))*m)*((m*m**(-1\/4)\/m*m)**(-4))**(-41) assuming m is positive.\nAnswer: m**(40339\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 213329 (base 12) in base 16?\nAnswer: 7ff11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v**3 - 19*v**2 + 53*v - 15. Let y(c) = 7*c**3 + 10*c**2 - 29*c + 7. Let b(l) = 4*k(l) + 7*y(l). Give b(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 11:48 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1c4ca6?\nAnswer: -1c4ca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4414232 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 0 + 1 - 3*l - l**2 + 2*l + 6*l. List the prime factors of o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l. Suppose 4*j = -15 - 41. Let u(d) = -d - 2. Let h be (-8)\/8 - (0 - (0 + -3)). Let y(b) = 4*b + 7. Let x(p) = h*y(p) + j*u(p). Give x(m(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4496221758 and 0.1117.\nAnswer: 4496221758.1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/16, 0.1, -94, 5, -4 in descending order.\nAnswer: 5, 3\/16, 0.1, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2169912 and 61\/283032?\nAnswer: 6509736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2124 - -2146. Put 0.1, -1\/3, i, 2\/11, -0.5 in descending order.\nAnswer: i, 2\/11, 0.1, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, -1298, -1, -0.01, 4\/5 in descending order.\nAnswer: 10, 2, 4\/5, -0.01, -1, -1298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -25, 4, -5.\nAnswer: -25, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -365788, -730275, -1094760, -1459243?\n\"Answer: w**2 - 364490*w - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/33)*x**(-13)*x)\/(x**(4\/19)\/x*(x\/(x\/x**(-3\/14))*x)\/x*x*x) assuming x is positive.\nAnswer: x**(-104771\/8778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/5, 7.82, -38, 6 in decreasing order.\nAnswer: 7.82, 6, -2\/5, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1372.33 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/((-2)\/219). Suppose 4*u - g = 155. Calculate the remainder when u is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-56 + (-11 - -2) - -14).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1682*c - 128 - 9964 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddiirriddririddii. Give prob of picking 1 d and 1 i.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199115 is divided by 722.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20 - -1) + 3 + -3. Calculate the remainder when 31 is divided by 245\/l + 2\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1.1708?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44615\/2 + 22330. Let n(m) be the second derivative of 0 - l*m**2 + 35*m + 6*m**3. Find the first derivative of n(x) wrt x.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-14)*g)\/(g*g\/(g\/(g*g**(-18))*g)) assuming g is positive.\nAnswer: g**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-135))\/((-24)\/36)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 7)*(9*t**2 - 9*t**2 - 8*t**4 - t**2).\nAnswer: 64*t**4 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:25 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 3. Let d be i(-12). Differentiate d + 0*n - 4*n - 4 + n with respect to n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 39*v**3 - 2477*v**2 + 2487*v. Let o(y) = -140*y**3 + 8670*y**2 - 8705*y. Let u(b) = 25*j(b) + 7*o(b). Determine s, given that u(s) = 0.\nAnswer: -248, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/4 (c) 1 (d) -117657\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*l - 127*l = 126*l - 168 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/1*(-75)\/(-10). Let f = a - 5. Let z be 28\/10 + 2\/f. What is the greatest common factor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 6*u**2 - 2*u - 8. Let n be x(-6). Let z be (-18)\/27 - n\/(-6). Is -1\/6 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3216)\/1024*320\/(-15)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 1\/24*h**4 + 0 + 1\/3*h**3 + 0*h + 5*h**2. Let m(b) = 2*b + 5. Give 2*m(z) - 5*u(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764413?\nAnswer: 13, 127, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 + -144. Let f be 3\/q*8 - -2*1. Let b(x) = -x**3 - 5*x**2 - 6*x - 6. Let y be b(-4). Solve 0 = y*n - 3*w + f - 5, -5*n + 3*w = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 13. Let d be -189*v\/(3\/(-4)). Let z = d - -127. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = -g, 0 = -d + 3*d + g - 26. What is the least common multiple of d and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -65. Suppose x = -0*x + 2*q - 4, -4*x - 10 = -5*q. Let y = x - -10. Calculate the least common multiple of y and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -71.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:05 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 - -14. Suppose -4*p + f = p. Suppose -5*w - 5 = -c, 5*w + p = 3*c + c. Which is smaller: w or -7\/8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-1*-5 - (-1*sqrt(363))**2.\nAnswer: -363 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 300 + 295 - 7*q.\nAnswer: -17*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-1))\/(-2))\/(45\/240)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -536 + 905. Let j = k + -255. Let b = -113.9999947 + j. Round b to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9429082 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: Let v be (1 - 8) + (-40)\/(-5). What are the prime factors of 0 - (6223\/(-7))\/(1\/v)?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 - 4 - -39 - (45 - 40)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*w + 992*w - 5*w**2 - 744*w.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o. Suppose 2*d + 5 = 9. Suppose -3 = d*l + c, 24 = -l - 2*c - 3*c. Let b(w) = w. Let t(m) = l*k(m) - 12*b(m). Let p(f) = -f**2. Calculate t(p(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 254 (b) -0.4 (c) 0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {r: 2, w: 4, x: 3, a: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/12 + 1264*z\/3 + 15141\/4 = 0. What is z?\nAnswer: -5047, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1113377742 to the nearest integer?\nAnswer: 33367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 98 (b) -1\/4 (c) 2 (d) 0.1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 15) to base 7\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4049.362s in milliseconds?\nAnswer: 4049362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3064 divided by 766\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -301?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m - 2. Let b(t) = -t**3 - 6*t**2 + 10*t + 47. Let x be b(-6). Let q(h) = -2*h - 1. Give x*q(o) + 6*i(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*h + 5*h - 3*h)*(-65*h - 601 + 601 + 664*h).\nAnswer: 1198*h**2 + 1198*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 493916.\nAnswer: 6914824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 157*h - 161. Let l(z) = 157*z - 161. Let y(t) = -6*l(t) + 5*n(t). Find the first derivative of y(c) wrt c.\nAnswer: -157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1648827 minus 85?\nAnswer: -1648912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -8. Suppose -s + 2 = -0*s - 3*d, -3*s = 4*d - r. Suppose s*z - 31 = -1. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0*w**2 - 18\/13*w**3 + 0*w + 12\/13*w**4 - 2\/13*w**5 + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyjykkkkyyyj?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 7 = 3*j, 2*u + 0 = j - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + k**2 - 3)*((-1 - 2 + 5)*(-1901 - 28*k + 1901) - k + k + 2*k) as r*k + q*k**3 + a + c*k**2 and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 + 120*p\/13 + 1800\/13.\nAnswer: 2*(p + 30)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 16*y + 256 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7684702 and 103759.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 2, z: 1, m: 1, g: 1, n: 2}. What is prob of picking 3 m and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4246 is divided by 2112.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/((a*a**6*a)\/a))))\/(a\/(a\/(a\/(a\/(a*a\/(a\/a**(3\/4)*a))))*a*a)))**(-45)\/((a**2)**(-30)\/((a**(-6)*a*a)\/a**(1\/3))) assuming a is positive.\nAnswer: a**(3233\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 13*y + 5*y)*(-3*y**3 + 17*y - 17*y) - 5*y**4 - 4*y**4 + 4*y**4 + (2*y**2 + y**2 - y**2)*(2*y**2 - 3*y**2 + 0*y**2).\nAnswer: -61*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 - ((-3)\/(-1) + -1). Suppose -s = -3*q - t, 4*s - 5*q = 2*s + 28. Let o(a) = 11*a - 62. Calculate the remainder when o(7) is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(29\/(-522) + 4\/(-9)). Solve -8 = -3*d + g*d - 2*r, -5*r + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u + 1. Let j(s) = 14*s**3 + 7*s**2 + 16*s + 4. Let k(l) = 4*c(l) - j(l). Find the second derivative of k(h) wrt h.\nAnswer: -84*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 13*i. Let c(r) = 6543899*r. Give c(o(x)).\nAnswer: 85070687*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3716376790.\nAnswer: 2, 5, 7, 3947, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 q when three letters picked without replacement from {d: 1, q: 3, a: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14aa (base 11) in base 13?\nAnswer: -b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21\/68 - -1\/17. Let g = -54 - -54.2. Which is the nearest to 2\/5? (a) s (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 94, 56, 3, 1, -13 in ascending order.\nAnswer: -13, 1, 3, 4, 56, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1017 + -977. Calculate the highest common factor of 1180 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1910 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 7*j = -2*s - 3, 0 = j - 5*s - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -52 (b) 0 (c) -2\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = -5*m + 28, -5*f = 2*m - 25. What is the nearest to -0.2 in 0.2, -3, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896\/60 - (-6)\/(-10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 498 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21799.\nAnswer: 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (24 - (0 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (-1*sqrt(136) - sqrt(136)))\/sqrt(8) + (sqrt(102)\/sqrt(6) - sqrt(17))*-1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656749870 to the power of 1\/3, to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - 241?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 4083*o**2 - 5 - 4161*o**2 - 6*o as t*o**2 + v + y*o and give t.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41844 and 705?\nAnswer: 9833340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.069 - -0.99. Let j = s + -0.491. Let z = j - -0.52. Is -0.4 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2 - 5 - 2*u + 1. Let s be m(-6). Suppose 3*l = s - 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -52, 0, -1, 2\/849, -0.4, -3 in ascending order.\nAnswer: -52, -3, -1, -0.4, 0, 2\/849, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 2*l + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.75386 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 + 168. Suppose -3*n = 6, -9*a - 4*n - 13 = -x*a. Solve 0 = o - w - 2, 7 + a = -2*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 774\/(-27) + (-4)\/3. Let w = -34 - k. Let a be 1\/(((-16)\/92)\/w). Calculate the highest common divisor of 207 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 44?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 290.9441+0.1\nAnswer: 291.0441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -0.0673?\nAnswer: -0.9327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70317 is divided by 188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 11 + (28 - 45).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Work out -5.397 - 81513773.\nAnswer: -81513778.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*j - 4*j. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 6*c**2 + 2028 - 3455 + 1423.\nAnswer: 2*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufc when three letters picked without replacement from {f: 4, u: 2, l: 2, d: 2, c: 3}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + l**3 - 3*l**3 + (-l + 0*l + 3*l)*(-1 + 1 + 2*l**2))*(-5 - 1 + 4) + l**3 + 3*l**2 - 3*l**2 - 26*l**3 + 84*l**2 - 84*l**2.\nAnswer: -29*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x. Let c(y) = -87697*y**2 + 88241*y**2 - 2*y + 2*y. Calculate o(c(t)).\nAnswer: -3808*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*z - 4641 - 3980 - 7087 = 0 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 2, i: 1, m: 2}. Give prob of picking 1 o, 1 i, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 87 = 2*h - 4*x, 2*h + 4*x = 114. Let z = 54 - h. Suppose 4*c = z*c + 8. What is the remainder when 15 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64, -152, -252, -370, -512?\n\"Answer: -h**3 - 81*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 7) + 1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 2641408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(7) + (sqrt(112) - sqrt(7)) + -4 + sqrt(7) - (1*sqrt(896)\/sqrt(8))**2.\nAnswer: -118 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 - -0.206. Let q = r - 0.0274. Round q to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 minutes before 3:34 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11081 (base 11) to base 8.\nAnswer: 37275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3010826.\nAnswer: 2, 7, 13, 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2268)*2 - sqrt(2268))\/((sqrt(108)\/(sqrt(12) - (sqrt(12) + sqrt(12)*-1)) - sqrt(9)) + sqrt(9)) + -5.\nAnswer: -10 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*p + r + 147, -2*r - 226 = -3*p. Let a(q) = -2*q**3 + 28*q**2 + 4*q - 30. What is the remainder when p is divided by a(14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2721 = 162*w + 88*w + 6971 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9136)\/(-45936) + 1\/(-9). Let g = l - 23455\/1914. What is the common denominator of -121\/672 and g?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1826132 and 968.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 20*q**2 - 90*q - 2904. Let o be b(-22). Solve 150*z = 128*z + o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + (sqrt(245) + 0)**2 - (4 + -2*sqrt(245))**2 - (-5 + 1*(sqrt(245) + 0)**2))*-5.\nAnswer: -560*sqrt(5) + 4968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31324635011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 6*i + 18. Determine q(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1438614 and 4558?\nAnswer: 3278601306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 229, 2, -1, -11, -5 in descending order.\nAnswer: 229, 7, 2, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 35 = -8*f. Does 28 divide (-1)\/f + 4190\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.25 times -0.5623\nAnswer: -1.827475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 963 - 334 = 0. Calculate the remainder when 288 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/11)*y*y**0*y*y*y**3\/y*y**4\/y*(y\/(y*y**(-4\/7)))\/y*y**(2\/5)*(y\/y**(3\/5))\/(y\/(y*((y**(1\/2)*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(6691\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 77, -3\/7 in descending order.\nAnswer: 77, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63)\/7 - (-13 + 8). Which is the closest to -2? (a) 1\/3 (b) -1\/5 (c) w (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76537532 is divided by 359331.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 - 1853?\nAnswer: -189a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g**2 + 8*g**2 + 4*g**3 + 2*g + 2*g**3 - 2*g + (-g + 0*g + 0*g)*(5*g**2 - 2*g + 2*g) - g**3 + 4*g**3 - 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 - 3.04. Let z = -6 - a. Let c = 0.3 - 0. What is the second smallest value in z, 1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417103.\nAnswer: 173, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1685312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93a3 (base 13) to base 9.\nAnswer: 31001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/167288 and 97\/38020.\nAnswer: 836440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 622028 divided by -4642\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/330 + k**4\/132 - 4*k**3\/11 + 24*k**2. Factor w(y).\nAnswer: 2*(y - 3)*(y + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205186 + 89461411\/436. Let c = p + 3\/109. Let j = 4 - 0. Put -2\/7, c, j in increasing order.\nAnswer: -2\/7, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 1 - 2 - 29 - 3138*z.\nAnswer: -3138*z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-3) + 9096 - 4. What is w rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32011 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1203587 - 12?\nAnswer: 1203575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(132)*1)\/(sqrt(22)\/sqrt(2)*-2)*-6.\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479229645 is divided by 246.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -737, -716, -713, -728, -761, -812, -881?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/900 - 28*p**5\/225 - 196*p**4\/45 + 388*p**2. Factor f(x).\nAnswer: -2*x*(x + 28)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Let h(u) = -u**3 + 5*u**2 - 6*u + 6. Let k be h(4). Let m be w(k). Let c be (2\/m)\/(5\/(-20)). Solve c*i + 4*f + 12 = i, 0 = 3*i + f + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16119 - 13279 = -142*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(100)\/(2*sqrt(4)))\/(sqrt(5)*2*-5).\nAnswer: 3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118675245.\nAnswer: 3, 5, 13, 608591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 2}. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-2\/7)\/o*o**28 assuming o is positive.\nAnswer: o**(194\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*i + 17 = -0*m, m - i - 17 = 0. Suppose 6*k - 55 - m = 0. Suppose -71*f**3 - 3*f**2 - k*f + 12 - 72*f**3 + 146*f**3 = 0. What is f?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g - 112. Let y = -15 - g. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czgzbbbzcgcbbzcgbgz. Give prob of picking 1 z, 1 c, and 1 g.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from jlplo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.014, 2\/9, 0.5, -2\/15, -2 in descending order.\nAnswer: 2, 0.5, 2\/9, 0.014, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4162*k*o**3*t - 6*k*o**2*t + k*t**3 + 3*k*t**2 + 3*o**3*t**3 wrt o.\nAnswer: 24972*k*t + 18*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 45.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 11*c - 3. Let o(j) = 2*j + 42. Let d be o(-15). Let s be u(d). Let w be -6*((-12)\/(-9) - 2). Solve -w*z - s = -1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2241185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 1168 = v. Solve -88*z + v*z + 60 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + 2*k + 1. Let q be l(-1). Let b = 9 + -13. Let i = 127 - 125. Put q, b, i, 5 in increasing order.\nAnswer: q, b, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 - 109. What is the remainder when 259 is divided by b?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -280 + 284. Determine m, given that 115*m**3 - 14*m**2 + 4*m**5 - 11*m**s - 103*m**3 - 27*m**4 + 6*m**2 + 62*m**2 = 0.\nAnswer: -1, 0, 3\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 289.733 - 290. What is o rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + (-15 - (42 - 35)) + 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(1*(sqrt(176) + sqrt(11))) + (0 + sqrt(2) + -5 - sqrt(4)\/(sqrt(2)*-1)))**2.\nAnswer: -22*sqrt(2) + 867\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-3 - (-81)\/(-6)). Which is the third biggest value? (a) -0.4 (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410117666 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**3*w*x + 864*k**3*w - 2*k + 2*w*x + w + 1309*x - 2 wrt k?\nAnswer: -30*k*w*x + 5184*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6))**(-1\/63))**(1\/37))**34 assuming y is positive.\nAnswer: y**(68\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 425*t + 4. Let c(m) = -m. Calculate c(y(b)).\nAnswer: -425*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0\/o**(3\/16) assuming o is positive.\nAnswer: o**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g**4 + 549*g**3 + 5094*g**2 + 19104*g + 21888 = 0.\nAnswer: -57\/7, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 24980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2) - (-28 + 12). Let p be (33\/(-15))\/((-28)\/j - -1). Let v = p - 5. Which is the second biggest value? (a) v (b) 0.3 (c) -1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from gikgidgkgmgi.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (-1 + sqrt(2057))**2 + 2*sqrt(2057)*6 + (-5*(sqrt(2057) + sqrt(2057) + (sqrt(2057) + sqrt(2057)*-1 - sqrt(2057)) + -5))**2 + -3).\nAnswer: -13200*sqrt(17) + 270530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -3 (c) -2198 (d) 2\/9 (e) 0.2 (f) -1\/129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/127675755 and -121\/90.\nAnswer: 255351510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184 smaller than 188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 996?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((9\/18)\/(7\/(-100840)))\/((-6)\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*o**2 - 148*o + 148*o)*(o - 34 + 13 + 17).\nAnswer: 131*o**3 - 524*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5 - 850*x**4 + 90736*x**3 - 89888*x**2 = 0.\nAnswer: 0, 1, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137676 (base 9) to base 15.\nAnswer: -1a010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -36*22*(-3)\/12. Let r(c) = -f + 198 + c**2. Let k(n) = 5*n. What is k(r(l))?\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 24 = 3*a, 2*c - 13 = 4*a - 45. Suppose 11 = 2*u + 7*x - 2*x, -5*x = u - a. Let l = u + 0. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 439 - -142?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/32)\/(33\/22).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10086395 + 331?\nAnswer: 10086726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(864) + 4*sqrt(864))*-6.\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 5, -3.\nAnswer: -11, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2256*j - 468 = 2220*j. Solve -2*o - h = -11, -j*o = -14*o + 5*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.1. Suppose -3*x + 7 + 13 = -5*w, -w - 2*x = -9. Which is the closest to t? (a) 3 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + sqrt(448)*-3 + 3.\nAnswer: -22*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 8*q**4 + 5*q**4 - 4*q**3 + 7*q**3 in the form u*q**2 + i*q + c*q**3 + b*q**4 + k and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858529804.\nAnswer: 2, 464632451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 16*m + 11. Solve -p - m = -k - 3*k, p = -2*k + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) -0.3 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/3 (b) 3 (c) -29 (d) -91\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 take away -0.26?\nAnswer: -2.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -0.02, -4.9?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - 2*k**2 - 5*k**3 + 2 + 2*k**3 - 5*k + 2*k**3 to the form m*k + h + d*k**2 + g*k**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62, -29, 4, 37, 70?\n\"Answer: 33*h - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 0*c + 51 - 113 + 54 = 4*c, -6 = -6*y - 6*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.071212 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25503 is divided by 206?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13245 and 1293595.\nAnswer: 3880785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.20026 litres to millilitres.\nAnswer: 31200.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 19*v + 31. Let a(z) = z**2 - z. Let s(q) = -3*a(q) - d(q). Let m be s(19). Suppose -m = 2*h - 3*h. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1009031 or -2\/7?\nAnswer: 1009031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 24 = -3*o. Suppose o*a = a + 15. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfkmkmfzkzfm. Give prob of sequence kmm.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222455\/12 - 18548. Calculate the common denominator of -2 + -2 + 75\/(-48) and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-21)\/(-112))\/((-7812)\/(-224))\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 317 + 3183 = 0. What is j rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**4 + 29*l**3 - 3*l**2 - 89*l - 55. Let j(c) = 3*c**4 + 29*c**3 - 3*c**2 - 89*c - 56. Let k(r) = -3*j(r) + 2*n(r). Let k(q) = 0. What is q?\nAnswer: -29, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*o + 148*o = -9*r - 126, 2*o + 34 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eighteen fifths of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -9.5. Let j = 0 - c. Let z = j + -4.49999908. Round z to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(900\/(-6)))\/(1\/(-5)). Which is the smallest value? (a) -1 (b) 1 (c) -12 (d) k (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 136284 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, -0.2, -22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1. Let u be (-14)\/(-42) + -1*1. Sort -1\/4, t, u in increasing order.\nAnswer: t, u, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1073987 divided by 6.\nAnswer: 1073987\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 1. Let t be r(0). Let k be 4\/(-20)*(t - (-21)\/(-36)). Which is the closest to -0.2? (a) 5 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-464)\/5075)\/((-6)\/(-263)) + 4. Is y smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minus -0.671235?\nAnswer: 191.671235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15031638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 + 127. Let b(a) be the third derivative of -1\/240*a**6 + 0 + 0*a**3 + 0*a - 1\/24*a**4 + x*a**2 - 1\/40*a**5. Factor b(h).\nAnswer: -h*(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(1219\/(-49979)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1088 and 50824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -h - 1, -4*h + 3*m = -2*m - 3. Let u(t) = -3 + 37*t**2 + 4*t - 38*t**h + 3. Let n be 1\/((-3)\/(3*-2)). Calculate u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*d - 10. What is the common denominator of (76\/(-24) - -3)*582\/d and 5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -3 (c) 0.02 (d) 60 (e) 1\/3 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, a: 4, c: 4, k: 1, j: 7, m: 1}. What is prob of picking 1 a, 1 c, 1 j, and 1 m?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 86 + 126 = -2*b, b = 2*x - 20 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/4 - 7*x**2\/8 + x\/2 + 7. Find u such that i(u) = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10147106*i - 10428490 wrt i?\nAnswer: -10147106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -350564254?\nAnswer: -350564252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -16*x**3 - 4*x**2 - 4*x - 7. Let y be m(-3). Suppose 2*w - 2*k = -w - y, 2*w = 4*k - 254. Round w to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from {m: 2, e: 1, t: 6, r: 4, o: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:38 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/6 + 166\/(-22)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Let i(x) = 12*x**2 - 3*x - 2*x**3 + 2 - 12*x**o - 5*x**2. What is the units digit of i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76434.09 litres in millilitres?\nAnswer: 76434090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*t + 4*t + 91*t - 2232930. What is the greatest common divisor of 217 and t?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**8\/16800 + t**7\/6300 - t**6\/900 - 5*t**4\/24 + 2*t**2. Let c(p) be the second derivative of u(p). Factor c(o).\nAnswer: 2*o*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.06342 + 9969.72342. Let s = d + -9849. Let p = s + -112. What is p rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + 33. Suppose -n = -3*z + 8*z. Let d be z\/120 + 2\/15. Solve 5*k + 2*j - 15 = d, -4*k - j = -2*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -11*w + 4. Let u be (-10)\/(-6)*(2 + 1). Put u, 3, w in ascending order.\nAnswer: w, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*l - t + 17, 2*l - 19 = t. Calculate the smallest common multiple of 3\/l*(-24)\/(-1) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktqapql. What is prob of picking 1 p, 1 k, and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1842 and 16.\nAnswer: 14736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 3*m + 210 = -15*z, 6*z + 20 = 5*z + 2*m for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -1698 in descending order.\nAnswer: 5, -1, -1698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1040, 0, 73 in ascending order.\nAnswer: 0, 73, 1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1539) + 1*(sqrt(1539) - sqrt(1539)*-1) - sqrt(1539)) + -2)**2*3 + 2.\nAnswer: -864*sqrt(19) + 295502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-5) + -1 - -3. Suppose x*k = 5*k - 25. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 453420 and 39600.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-15798)\/21 + 4\/14. Let i = c - -1108. Find the common denominator of 75\/14 and i\/104 - (-3)\/(-24).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 2*c - 5. Let o be 3 - 3 - 3\/((-3)\/4). Let s be h(o). What is the second derivative of 131*a**s + 29*a - 84*a**3 - 67*a**3 wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 241805870 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 6*g + 33. Let p be l(9). Suppose 10*m - a = 9*m + 6611, -p = 3*a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 7)\/(((-9)\/(-3))\/(-27)). Is (-1)\/(r\/(-12))*(-30)\/4 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53534.7 millennia?\nAnswer: 5353470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*l = 4*c + 21, 2*c + 8*l - 30 = 12*l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.2, 28, -4, -6 in decreasing order.\nAnswer: 28, -0.2, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7635 + 0?\nAnswer: 7635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**5\/60 - b**4\/6 + b**3 + 2. Let s(n) be the third derivative of k(n). What is s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*-2)\/(sqrt(90) + sqrt(90) + sqrt(90)*1).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 108412 and -5.\nAnswer: -542060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1495944 and -11.48.\nAnswer: 1495932.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181809*x**3 - 3*x**2 - 17185402*x wrt x?\nAnswer: -1090854*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8227, 8059, 7891, 7723, 7555?\n\"Answer: -168*o + 8395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 2 - (-400)\/125. What is the second smallest value in -4, q, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/5)\/(1\/15). Suppose u*h = 2*h + 992. Suppose -5*r - 212 - 108 = -5*q, -4*q + h = 4*r. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-580)\/115)*(-22103)\/4805?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*t**3 + 244*t**3 + 2152440218*t - 2152440218*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 16 = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 532.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26078 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005243048223 to 7 dps.\nAnswer: -0.0005243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 827 + -819. Let l = 4 + -8. Let a = 12 - l. Which is greater: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6167*t + 3 = -6170*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257367015 to the nearest integer?\nAnswer: 16043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 44*f + 96.\nAnswer: -2*(f - 2)*(f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -823 + -68736175.\nAnswer: -68736998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*h + 192 = -119, -q + 5*h + 284 = 0. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(2 + sqrt(152)\/sqrt(200) + sqrt(76)\/sqrt(4) + 3).\nAnswer: -6*sqrt(19)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 4\/5 (c) -0.5 (d) -5 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.05849 to one dp.\nAnswer: -24.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -127778*u**3 + 8*u**2 - 5*u. Suppose -12 = 2*v - 3*v. Let p be x(v). Round p to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 1 - 1 + 3*p + 3*p - 4*p + (p + 2*p - 2*p)*(-4 + 2 + 3) - 14 + 682*p + 7 + 8)*(0 - p - 6 + 8) as c*p**2 + l*p + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -102140?\nAnswer: 102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 9*o - 14*o, -2*o + 16 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:50 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/246 and 11\/9?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2167*w + 800*w = 58781 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101 divided by -2?\nAnswer: -3101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) + 186\/(-15). Let o = -8 - b. Let x(t) = t**3 - 4*t**2 + 4*t + 3. Is x(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 47 - 22003452961*b + 22003452962*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -13. Let o(d) = -26*d + 2. Calculate the remainder when o(g) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2994 - 4.\nAnswer: -2998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3020270 and 3020270?\nAnswer: 3020270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399027 (base 12) in base 2?\nAnswer: 11100111100111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((0 + sqrt(500) + -3 + -2)*-2 + -2)**2.\nAnswer: -320*sqrt(5) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*s + 22 + 3 = 0, 4*c - 2*s = -10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, c: 3}. What is prob of sequence vvv?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.1. Let n = 0.3 - t. Let u = 3.1 + -2.1. Which is the smallest value? (a) u (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 2. Let l be j(1). Let f be 21\/63 + (2\/l - 1). Suppose 0 = 5*z + 3*c - 66, f = -5*c - 3 - 12. Solve v + 4*v = -z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*m - 125 + 34, 0 = 5*l - 3*m - 455. Calculate the lowest common multiple of 78 and l.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4591233, 4591229, 4591221, 4591209?\nAnswer: 4591193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Suppose 4*d = -d + 15, -k*a + 27 = 2*d. Calculate the greatest common divisor of a and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-0.059\nAnswer: 0.00295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2536*k**3 + 770*k - 770*k.\nAnswer: 2536*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1874 take away 3.3337536388?\nAnswer: -3.1463536388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 + 3*q - 4. Let b be n(4). Suppose -2*o + 5*i + 50 = -0*o, 0 = 4*i + 16. What is the remainder when b\/(-32) - (-234)\/8 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046581 to five decimal places.\nAnswer: -0.00466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*r - 67*r + 833 = 0 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -0.921?\nAnswer: 3.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1812454361.\nAnswer: 37, 2287, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.25, -0.03, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 + k - 7. Let r be (2 - -1)\/(-3) - -3. Let g be u(r). Which is the nearest to 5? (a) 1\/4 (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 59. Let x be (-8)\/2 - (r - -3). Let p be -3 + 85\/50 + x\/2. Which is the closest to 1\/4? (a) -1 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25681 + 0.4.\nAnswer: -25680.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -59 - (-541 + 575).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*m - 379720 - 122255 = 137289. What are the prime factors of m?\nAnswer: 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o**3 + 3*o**2 + 1. Let p(w) = -w**2 + 1. Let b(i) = c(i) + 3*p(i). What is the first derivative of b(r) wrt r?\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**3 - 6*d**2 - 4*d - 1. Calculate v(-3).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47762 rounded to 2 decimal places?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:37 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -676986864 divided by -2472?\nAnswer: 273862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 18, -0.3, -5 in descending order.\nAnswer: 18, 5, -0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {z: 5, e: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 63*w**2. Let x(n) be the second derivative of -11*n**4\/12 - 75*n. Determine g(x(a)).\nAnswer: 7623*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1293326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*v = 140*v - 17020000. Round v to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:19 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4427*t + 2149*t + 2066*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -416, -368, -320, -272, -224?\n\"Answer: 48*d - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 26*x - 4 = 0. Suppose -4*o = -o - 24. Suppose o = x*l + 2. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*x**2 - 45*x**2 - 43*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by 154.\nAnswer: -240\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01952 and 173222.1?\nAnswer: 173222.11952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 17*b**2 - 2*b + 14. Let d be h(-8). Let p = -85 + d. Solve 3*m - p = 0, -2*m = -o + 3*m - 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -70. Let k(f) be the first derivative of 0*f**g + 0*f**4 + 0*f + 0*f**5 - 1 + 1\/2*f**6 + f**3. Find the third derivative of k(w) wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 2*b + 469. Is n(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 6840 = 50*d - 4*d. Solve -2*t + 21*t - d = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02101145*2.\nAnswer: -0.0420229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30708 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 5}. What is prob of picking 1 s and 1 e?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 15*x**2 + 15*x - 12. Let w = -20 + 34. Let l be g(w). Solve l*v + j - 4 + 7 = 0, 2*v + 12 = 2*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/7 + 10884*n**2\/7 - 7590636*n\/7 + 36072980.\nAnswer: -4*(n - 1343)**2*(n - 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2583 and 369.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2445815081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*d. Suppose d = 6*t - t + 5. Let q = 5 + t. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 106*(-7)\/(-42)*9\/(-3). Let x = m - -67. Calculate the remainder when (-101)\/(-2) - 6\/12 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734600.\nAnswer: 2, 5, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11156\/5 or 2232?\nAnswer: 11156\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 209*t. Let l(o) = -9*o. Determine q(l(k)).\nAnswer: -1881*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 53958496*f + 363939911322752.\nAnswer: 2*(f + 13489624)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919*h - 6242 - 61764 = 0 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (0 - -2 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/25)\/((-201891)\/1730 + 117).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/87 + -368\/435. Which is the second smallest value? (a) z (b) 19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 133.066 from 0.1.\nAnswer: -132.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/992 or 0?\nAnswer: -5\/992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 473461932 to the power of 1\/2, to the nearest integer?\nAnswer: 21759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1290 by 6.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 10:28 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (11 - 29) - (0 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k - 68. Let f be r(10). Solve s - 14 = 3*x, -7*s + f*s + 10 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:29 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:42 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/9, 14 in descending order.\nAnswer: 14, 1\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 13. What is v rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3009000 and 4956.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 277\/6 + 166\/3. Let i = 76 - t. Calculate the common denominator of -1\/11 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78 - 65*j - 59*j**2 - 41*j + 78 wrt j.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 33432?\nAnswer: -33431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1484256596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.95 - 32. Let o = -1 - p. Which is the third biggest value? (a) o (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 5813644613993?\nAnswer: -5813644613992.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - w + 1 = -3*w, -14 = -3*g + w. Suppose 169 = g*f + 64. Calculate the highest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126172 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + ((-10)\/(-15))\/(3\/351). Suppose 0*b - 134 = -4*b - 5*u, 4*b - 136 = -4*u. Let t = i + b. List the prime factors of t.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -10*o - 40. Suppose 0 = 5*u - 0*u + 30. Let y be (9\/u)\/(6\/o). Solve -3*l = -2*t - 2, 5*t + 7*l - y*l = 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-19)\/57)\/(-2 + (-9)\/(-5)). Suppose 9*l + 18 = 9. What is the second smallest value in l, 83, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 49*c + 587. What is r(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 164*q - 810. Let a be h(5). Solve 205 = a*p + 175 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 106 + 21*u**3 + 2*u - 19*u**3 - 4*u**3 + 4*u**4 - 118 in the form k*u**3 + f*u**4 + o*u + h*u**2 + l and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1025 (base 6) to base 2\nAnswer: -11101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -644.9 - -705. Let f = s + -60. Let j = -190 + 381\/2. Which is the second biggest value? (a) j (b) -0.1 (c) f (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71349, -142464, -213571, -284664, -355737, -426784?\nAnswer: -497799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195*y - 77*y + 94*y)*(-18 + 18 + 19*y**2).\nAnswer: -3382*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12 and -129\/23240?\nAnswer: 69720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42553.\nAnswer: 7, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i - 53*i = -15. Suppose -s - 3*f + 421 = 0, 0 = -i*s - 2*f - 591 + 2735. What are the prime factors of s?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -76. Suppose -3*m + 9 = -0*m. Suppose 0 = -5*g + m*a, g - 2*g + 13 = h*a. Solve 0*z - g*z - 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 5761209*y**2 - 2765957881200*y - 2765963642412.\nAnswer: -3*(y - 960202)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 3003657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-6))\/((-44)\/66). Suppose -n*o + x + 4*x - 70 = 0, -4*x = 5*o + 67. Is 3730\/o*(-3)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 621682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3057, -24386, -82289, -195054, -380969, -658322, -1045401, -1560494?\nAnswer: -2221889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7122, -5553, -3984, -2415, -846, 723?\nAnswer: 2292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248629 (base 10) in base 14?\nAnswer: -24707b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 0 + -8 + 20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 11:49 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/24 - (-3687)\/(-8). Is (-2)\/8 + i\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022 = 23*w + 348 + 490 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 8, 0 in ascending order.\nAnswer: -20, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -k + 8, 0 = 3*f - 3*k - k + 23. Let m(t) = 5*t**3 + 6*t**2 + 5*t + 3. Let s(z) = z**3 + 1. Let l(n) = f*m(n) + 4*s(n). Give l(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.025 + 0.025. Sort -0.1, c, 9, -3 in decreasing order.\nAnswer: 9, -0.1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.4 - -9.6. Let p = 13.5 - r. Which is the closest to -5? (a) -0.3 (b) p (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-114)\/42 - (-4)\/(-14). Which is the third biggest value? (a) q (b) -10 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 69*g**2 - 77*g - 765. What is the hundreds digit of v(74)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -155984, -311958, -467932, -623906, -779880?\n\"Answer: -155974*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 5*c - 31*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 43628 - 3681 = -4*z, 4*w - 35472 = -3*z. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/161)*s**(-4\/7))\/((s**(-1\/28)\/s)\/s)**(-3\/7) assuming s is positive.\nAnswer: s**(-6565\/4508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6647\/3 - -2215. Which is the biggest value? (a) -1\/8 (b) -2 (c) -0.3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96457208?\nAnswer: 2, 769, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 431.5 and -64239?\nAnswer: 64670.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187301, 187298, 187285, 187256, 187205?\nAnswer: 187126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 343689*u**2 - 11*u - 343724*u**2 + 11*u + 687647*u**2.\nAnswer: 2*u**3 + 234*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50412753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -245, -481, -683, -833, -913, -905?\n\"Answer: 3*g**3 - g**2 - 254*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 33. Let t = 16 + -14. Sort x, 2\/11, t in decreasing order.\nAnswer: t, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119886750?\nAnswer: 2, 3, 5, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1349 + 1348.9. Which is the closest to j? (a) 34 (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 times 1567.79?\nAnswer: 921860.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6)*(-15 + 21). Suppose -6 = p*k - 11*k. Solve 18 - 10 = k*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 843*t**2 + 3*t**3 + 843*t**2.\nAnswer: 3*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + t**2 - 34*t - 28. Let o be w(-7). Which is the fourth smallest value? (a) 0.04 (b) -1 (c) -1\/3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 - 14*i + 8. What is l(-6)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501021?\nAnswer: 1501021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 a, and 1 r when three letters picked without replacement from {t: 4, n: 5, u: 3, a: 1, r: 1, k: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 0*t**4 - 2*t - 3*t**2 + 3*t**3 + 1 + 4*t**4.\nAnswer: (t + 1)**2*(2*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52243 + 258?\nAnswer: 52512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 0.03. Let b = -7 - s. Let g = b + 4. What is the closest to 1\/6 in 0, g, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12911 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 3. Let b(l) be the second derivative of -80557*l**4\/12 + 4*l**3\/3 + 2*l**2 + 4*l. Let w be b(y). Round w to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 1\/54*i**4 - 1\/9*i**2 + 7*i + 0*i**3 + 0. Factor u(q).\nAnswer: 2*(q - 1)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2 + 0 + sqrt(539) + 2) - (sqrt(539)*2 + 2 + (sqrt(539) - (6*(sqrt(539)*2 + sqrt(539)) + sqrt(539)))))*-5)**2.\nAnswer: -12600*sqrt(11) + 4366000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3222448 to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 22*l**2 + 9*l - 31. Let q be j(-24). Let d = -780 + q. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and -4877.\nAnswer: -4886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(176) + -4 - ((sqrt(176) - -2*sqrt(176)) + -1)))**2.\nAnswer: 1080*sqrt(11) + 39681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327616?\nAnswer: 2, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567500933 to the power of 1\/2, to the nearest integer?\nAnswer: 50671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67628 rounded to 2 decimal places?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 4*q + 5. Let k be l(4). Solve -k*z + 0*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.12 and 0.167253.\nAnswer: -1.952747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*s = -5 - 20, -2*r = 18*s - 21*s + 53 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2176)\/sqrt(2) + 5 + (sqrt(1377) - (2*sqrt(1377)*-2 + sqrt(1377)))**2.\nAnswer: 8*sqrt(17) + 22037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + d**2 + 22*d - 52. Calculate p(6).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(6\/(0 + -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {p: 1, h: 2, b: 1, f: 1, z: 2, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 42*d**2 + 15*d - 380. Calculate u(21).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1832852097.\nAnswer: 3, 67883411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, -3, 2 in ascending order.\nAnswer: -3, 2, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 11*c**2 + 5*c + 7. Let z be 24\/28*14\/(-2). Is g(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:00 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 67241.01 decades?\nAnswer: 6724.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -14 + (36 + -17 - 36)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*p - 8, 17 = 10*g - 5*g - 2*p. Find the third derivative of -66*x**4 + 18*x**2 + g*x**2 + 186*x**4 - 7*x**2 wrt x.\nAnswer: 2880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333774 (base 9) in base 2?\nAnswer: -110000101111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u - 20 = 0. Suppose -28 = -3*c + u. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12718 - 25435 + 12717 - 89*j**2 - 8*j + 7*j.\nAnswer: -89*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4174920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*m**5 + 2*m**2 + 933*m**5 - 279*m**5 + 3333*m wrt m?\nAnswer: 16740*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 49. Let t = a - 46. Let o = 21 + t. Solve 0*v = -v - o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-249 + 1 - 1). Let r = -314 + 208. Let a = r + d. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 5*z + 5*z + 11*z**2 + 5*z**2.\nAnswer: 16*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53504, 214040, 481604, 856202, 1337840, 1926524?\nAnswer: 2622260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-400)\/(-5040) + (-30)\/42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2268 and 3130731?\nAnswer: 87660468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24104 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 3:45 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5*4941\nAnswer: 24705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15*((-1)\/(-6))\/1. Let l(t) be the first derivative of b*t**2 + 0*t + 0*t**3 + 5 - 3\/5*t**5 + 0*t**4. Find the second derivative of l(r) wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120784500 divided by -270?\nAnswer: 447350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -90.3908?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/3 - 28*s**4\/3 + 70*s**3\/3 - 44*s**2\/3 = 0. What is s?\nAnswer: 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4809, -4023, -3237?\n\"Answer: 786*j - 5595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -33*b**2 - 54*b + 33. Let d(s) = 30*s**2 + 54*s - 28. Let n(k) = 6*d(k) + 5*i(k). What is the second derivative of n(z) wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.4 (b) -0.1 (c) 2\/13 (d) -154\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -2)\/((-100)\/150). Put q, 2, -2, -3, -7 in ascending order.\nAnswer: -7, -3, -2, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 1:35 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*h + 8, 0*f = 5*f - h - 12. Let u(r) = r**2 - 3*r**2 + 4*r**f. Let a(m) be the first derivative of -4*m**3\/3 + 1. Calculate a(u(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1890 = 65*s + 24*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**3 - 3*c**3 + c**3)*(-19 - 14*c - 12 + 30) in the form t*c**4 + a*c + j + q*c**3 + o*c**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 69. Let r be p(0). Suppose -50 = -y + 37. Suppose y = -2*i - 4*t - r, t = -1. What is i rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*f + 40. Let p be 6\/f + 534\/33. What is the first derivative of -p + 20 - h**2 - 15 wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2254357820 to the nearest integer?\nAnswer: 47480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 45) + -5 + 2 + (-21 - (-5 - -5))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47254?\nAnswer: 2, 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = 1. Suppose 144 = 15*i + 9*i. What is the hundreds digit of (f - 76)\/((i\/(-15))\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/3 - 29*c\/3 + 28\/3 = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1290542 = 1290544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 77491?\nAnswer: -7\/77491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 divided by -32?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Is y < 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*(-3)\/(45\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 200 = -7*x. Suppose -b = -5*b + 4*s + x, -3*b + 35 = 2*s. Suppose 5*h - 2*g = 109, -g + 0 = 2. Calculate the remainder when h is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4672159 is divided by 2336072.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8591570 rounded to the nearest 100000?\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111518729 to the power of 1\/3, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114030.106098 - -114030. Round q to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1207053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -3411422?\nAnswer: 3411413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 198871 times -737\nAnswer: -146567927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - ((-1387)\/(-146) - (-207)\/30)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -87086 - 0?\nAnswer: -87086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/((c\/c**2)\/c)))\/(c*c**31*c))\/(c**(-2\/53)*c*c**(-23\/2)) assuming c is positive.\nAnswer: c**(-2487\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -20921, 0.2, 671 in descending order.\nAnswer: 671, 0.2, -20921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 366 = t, 3*a - 561 = -3*t - 9. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6354, -12721, -19094, -25473, -31858, -38249?\nAnswer: -44646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*c + 2*r, -c - 8*r + 5*r + 1 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7381*h + 62836 - 41813 = -12491 - 210059 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*b**2 + 0*b**2 + b + 22 - 17*b**2 + 8*b**2 wrt b?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 3*p + 1. Let r be s(3). Suppose -1 - 2*n**3 - 1 - 6 - 11*n - 5*n - r*n**2 = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -14. Let r = 0.102 + 12.098. Let z = r - 12. Which is the biggest value? (a) -0.5 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 - (-7 + 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45708 divided by 470\nAnswer: -22854\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (-68)\/17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -13*c**3 + 34 + 2*c - 32 - 5*c - 2*c**2. Let m be y(-2). What is the derivative of -10*i**4 - 9*i**4 + 75 - m wrt i?\nAnswer: -76*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 401*s**2 + 4*s**5 - 112*s**2 - 207*s**3 + 223*s**2 + 2*s**5 - 10*s**5 wrt s?\nAnswer: -240*s**2 - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1266?\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*o. Suppose -4*g - 4 = -o*g. Is -1 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) 24.4 (c) -21\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1300))*2 + sqrt(1300) + (-5 + sqrt(1300) + 0)**2 + (-1 + sqrt(1300) + -1)**2*-4)*-6.\nAnswer: -540*sqrt(13) + 23358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 1.8. Let n be ((-1)\/(-3*1))\/1. What is the nearest to 2 in c, n, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604 = -4*l + 2*w, 0 = 4*l - 2*l - 2*w - 302. Calculate the remainder when l is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23466333 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -36 + 36 + (-4201)\/(-1). Let s = u - 638. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 375243352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337 - 316. What is the remainder when r is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + 61. Let q = -90 + h. Put q, 0.1, -4 in increasing order.\nAnswer: -4, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 81 = 15*p. Let w(k) = k - 6. Let z be w(p). Suppose 0 = 3*l, -z*l + 11 = s + 2. Calculate the remainder when 33 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 5*n - 3. Let s be q(3). Let x(h) = -16 + 4 + 10 + s. Let k(a) = -a**2 - 5. Give k(j) + 5*x(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -794 - -793.5. What is the smallest value in 1\/8, 1\/91, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -5, -39, -4 in descending order.\nAnswer: 100, -4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 8, y: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k = -43*s + 22*k + 133 + 10, -4*s = 5*k - 161 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7238\/35)\/((-11)\/(-40)*4)*1\/(-4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 4*r**2 - 4*r**2)*(11*r**2 + 65*r - 65*r)*(-11 - 8 - 2 - 1 - 2 + 2 - 4 + 5 - 3 + (-2 + 2 - 1)*(-1 - 1 + 3) + 3 - 2 + 0 - 2 + 2 - 1 + 0 + 2 - 1).\nAnswer: -264*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1543 or -6215?\nAnswer: -1543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.5 + 8.65. What is the third smallest value in 2\/7, -1, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*v + 102. Let g = -188\/7 + v. Let f = 1 + -4. What is the nearest to f in g, 3\/2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 5. Let f(v) be the second derivative of -5*v**3\/3 - 5*v**2 - 8*v + 3. Let t(r) = 7*d(r) - 3*f(r). Let x be -3 + 30\/4 + 1\/2. Calculate t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 11. Put -3\/5, l, -0.5 in descending order.\nAnswer: -0.5, -3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -190*x + 1306 + 9524 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, r: 2, x: 4, p: 2, t: 2}. Give prob of picking 1 t, 2 x, and 1 e.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25018695 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5) - ((-24)\/(-5) - 7). Suppose 1 = -u + y*w, 10*u - w - 13 = 5*u. Suppose -5*v = 2*t - 4, t + 5*v = 4*t - 6. Solve u*b - 1 - t = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {w: 4, i: 4, k: 6, m: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**3 + 4*o**3 - 2*o**3)*(3*o - 3*o + 2*o + (2 + 1 - 4)*(-o + 2*o - 3*o)) + (-o**3 + o**3 - 2*o**4)*(3 + 5 - 2) + 3*o**4 + 2*o**4 - 3*o**4.\nAnswer: -22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k**2 - 5*k - 2. Let s(c) = -47*c**2 + 14*c + 6. Let r(f) = -4*s(f) - 11*u(f). Determine r(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -820 + 25198. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/34*(-468)\/(-270)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-333)\/(-21) + (-1)\/(-7) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51469*f*i*w**2 + f*i*w + 6*f*w**4 + 81*f*w**2 + 136*i*w**4 - 5688*w**4 wrt w.\nAnswer: 144*f*w + 3264*i*w - 136512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -b?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.89 - 0.11. Let l = 840 + -843. What is the biggest value in 4, -2, s, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-7)\/(42\/4))\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 5*p + 8. Let w be i(-5). Let u(h) = -h**3 + 8*h**2 - h + 9. Determine u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -4*m - 27. Let w = 12 - m. Solve 0 + w = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-13)\/195 - (-1687)\/105 and 866?\nAnswer: 6928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 + 19*j - 4. Is v(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3513270 to the power of 1\/2, to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**2 + 412540*x - 27249420 = 0. What is x?\nAnswer: -82574, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-297))\/(-3 - (-30)\/9)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -55 + 911 + (4\/1 - 2). Let d = q + -346. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 5. Let y be o(4). Let f be 0\/(3*1\/y). Let h(z) = 0*z + 0*z - z + f*z. Let x(c) = -8*c. What is x(h(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/5 - 1534*p**4 - 30662*p**3\/5 + 15344*p**2\/5 + 91983*p\/5 - 68994\/5 = 0. Calculate p.\nAnswer: -7666, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -289. Let a = -495 + k. Let i = a - -197.0109. Round i to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Suppose t = 4, 6*w - t - 23 = a*w. Suppose -w = -c - 0*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6052 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4 - ((-4)\/8 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 100 = -20*f. Solve -4*u + b + 11 = 0, 5*u - 3 - 16 = -f*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 - l + 393. Let f be r(0). Suppose 2*d = j - 2*d - f, -2*j - 4*d = -726. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-595.\nAnswer: -178.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 382586174 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2297.9795 rounded to one decimal place?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6268\/(-144) + 8\/(-36). Let f = 34 - -10. Let s = v + f. What is the nearest to 3\/5 in -4, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - w - 2*w - 18, -6*n + 8*w - 27*w = -21*w - 56 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 4\/22 + ((-116)\/(-66))\/((-82)\/(-14268)).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2733775*t**2 + 139134*t + 2.\nAnswer: 5467550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005.3374 rounded to the nearest 10?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a - 6. Give z(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from akupepupuukkukeua.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30477172 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + (-11 - -20) - (-2 - -47)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141143022 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 92*i**2 + 183*i + 2. Let k be q(-2). Sort 0, -17, -2, 2, k in ascending order.\nAnswer: -17, -2, 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v**3 - v**2 - 15*v + 5. Let l(k) = 5*k**3 - 7*k + 2. Let a(w) = -9*l(w) + 4*y(w). Let m be a(-5). Solve -3*d + m = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -215 - -2797\/13. Sort -3\/7, b, -2\/7 in decreasing order.\nAnswer: b, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y\/(y**(-4\/15)\/y))\/(y*y**(-1\/3)*y*y**(-13)*y) assuming y is positive.\nAnswer: y**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 135*t + 1. Let u(q) = 2*q**3 - 2*q**2 + 3*q - 2. Let o be u(1). Let f be z(o). Let p = -97 + f. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71\/(-3195))\/((-2)\/12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 142 = -5*m, -2569*w - 72 = -3*m - 2565*w. Solve m*d - 132 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 2*r**3\/3 + 8*r - 7. Differentiate y(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let s(o) = 4*o. Let j = 61 - 58. Suppose -3*w - 3 = -2*p, 0*w + 15 = -j*w. Give p*f(v) + s(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 64 = -4*p, 0*l + 5*p - 37 = -2*l. Suppose 0 = z - 3*z + 20. Let d = l - z. What is the highest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1. Let u(b) = -13*b - 5. Let k(x) = m(x) - u(x). Let c be k(2). Suppose 20*p - 22*p = -c. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 5*r**2 + 4*r + 1. Let m be z(2). Suppose -3*i + 3621 = 3*j, -23*j - m*i - 2442 = -25*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190684993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9457.2352 rounded to the nearest 10?\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10490060.\nAnswer: 2, 5, 7, 74929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -11. Let k = 6 + u. Which is the second smallest value? (a) 1\/4 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**7\/21 + 3*c**3 - 42*c + 13. Let h(b) be the first derivative of u(b). Find the second derivative of h(v) wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, d: 3, l: 4, b: 2, q: 2, p: 3}. Give prob of picking 1 y and 2 b.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*q = 70*q - 5*d - 39, -q - 12*d - 80 = 0. Solve 2*u = 3*h - 6, 0*h + 4*h - 28 = -q*u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 = -89*y + 174 - 4303 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 365*y + 1813. Calculate s(86).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1146233 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 - 14*t**2 - 8*t + 2. Let w(n) = 203*n + 199. Let c be w(-1). Determine k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7991 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/160 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -455 (base 6) to base 14.\nAnswer: -cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 3. Let f be d(4). Let m be (-5)\/(-10) + 4\/(-8). Suppose m = -2*j + f*j - 12. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -290, -262, -202, -98, 62?\n\"Answer: 2*z**3 + 4*z**2 + 2*z - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1100?\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8576 and -2.\nAnswer: -17152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6828274*n**2 + 12033833 wrt n.\nAnswer: 13656548*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h**3 + 0 - 1\/30*h**5 + 1\/120*h**6 + 0*h**4 + 0*h + 17*h**2 + 1\/210*h**7. Factor k(l).\nAnswer: l**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95 + (22 + -19 - -55 - 29)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxk when three letters picked without replacement from {k: 2, x: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 6*b**3 + 3*b**3 - 11*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*k = -4*k - 8, 0 = 2*h + 2*k + 8. Suppose h = 5*c + 2 - 7. Let v(l) = l + 3*l + c + 0*l. Give v(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9662, -9723, -9802, -9893, -9990?\nAnswer: -10087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 - (5 - -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51\/98 + 1\/49. Let t be ((-6)\/810*-225)\/((-5)\/6). Put t, c, 5, -7 in ascending order.\nAnswer: -7, t, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -219*w + 222*w - 6606. Suppose 3*y + 9*a - 1651 = 10*a, -4*y + a + w = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbpkusy. Give prob of picking 2 p and 1 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63949, 255888, 575785, 1023640, 1599453, 2303224, 3134953?\n\"Answer: 63979*a**2 + 2*a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (78\/(-5))\/((-8)\/((-2800)\/(-21)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192*-1\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*f**3*s - 13377*f**3 + 13*f**2*s - 6 wrt s.\nAnswer: 41*f**3 + 13*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1))\/((-135)\/33 + 4). Let v be (1 - 1)*5\/(-5). Suppose v = -3*j + z + 1. Is j < 14\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 5*p**2 + 10*p - 12. Let d be v(6). Suppose -d + 2 = -5*u. Suppose 0 = 4*o - 5*a - 88, u*o + 3*a - 18 = -a. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.037517 and 206947.66.\nAnswer: 206947.622483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1497.0003878 - 1497. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 6:13 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1440.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**3\/6 + 2*s**2 + s. Let g be j(4). Suppose g = 5*n + 131799 + 253201. What is n rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(54)\/sqrt(6)) - (sqrt(2) - (sqrt(2) + 2)*6))**2 + (sqrt(8)\/(sqrt(16)\/sqrt(4)*1)*2)**2.\nAnswer: 144*sqrt(2) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-18)\/(-7)) - (-81 + 82).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3303684 is divided by 377?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.531 to one dp.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 9*v = 2*u + 92, -401 = -4*v - 3*u. Suppose -6*c = -46 - v. What is the least common multiple of 28 and c?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 2, a: 1, g: 4}. What is prob of picking 2 g?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10477137 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: 63703 (base 9) to base 11\nAnswer: 29714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 1 (c) 208\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12369186 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 785 (base 10) to base 5\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219823567 to the nearest integer?\nAnswer: 14826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 35476?\nAnswer: -35501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 9*m + 3*m - 6*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-1825)\/260 + 7)*(-2 - -3).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 5. Suppose -3*m - 2*b = 0, -5*b = -2*m - 0*b + 19. Suppose -m*l - 10 + 0 = 0. Let s(f) = 2*f + 4. Give l*g(h) - 6*s(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/12)\/(-13)*18\/(-28)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2217*t**3 - 463*t**2 - 383*t**3 + 463*t**2.\nAnswer: 1834*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(5*z**4 - 4*z**4 - 3*z**4) + z**4 - 3*z**4 + 5*z**4 + (4*z**4 + z**4 - 3*z**4)*(-4 + 4 - 2).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*s - 0*s + 2, 1 = -5*g - 3*s. What is the closest to -1 in 18, g, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 7:36 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 391\/3442 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*n + 7 + 2, 5*n - 20 = -5*y. Suppose -6*m + n*m = 5*z + 11, -2*z = 3*m - 1. Find the common denominator of 20\/9 and (z\/(-16))\/(3\/(-214)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 != -461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 5*g**2 + 4*g - 6. Let i = 147 - 142. Suppose 4*x - 2 = -i*q + 18, 0 = -2*x. Give c(q).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 89618.04 millimeters?\nAnswer: 8961.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28116, 3, 4, -5 in decreasing order.\nAnswer: 4, 3, -1, -5, -28116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + h - 58 = 87, 5*o + 4*h = -120. Let w = 48 + o. Suppose 3*l + 2*l = -w, 0 = 5*x + l - 46. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 + -3792805971?\nAnswer: -3792805973.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1443.2 * -0.11\nAnswer: -158.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 112*j**3 - 8*j**2 - 149*j. What are the prime factors of s(2)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 4*l - 3*l)*(-1714*l + 269 - 269 + (4*l - 13 + 13)*(-2 + 2 + 2)) to j*l**2 + q*l + m and give j.\nAnswer: 1706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5\/8 - 543*v**4\/4 + 2589*v**3 + 36453*v**2\/4 - 20709*v\/8 - 17955\/2 = 0. What is v?\nAnswer: -380, -3, -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let j = -5 + v. Let a be -3*(2\/j - -1). Is -2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 10111 = -50269. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 14*j + 112 - 14*j + 59*j.\nAnswer: 38*j + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + j + 3 = p, -5*p + 45 = 5*j. Suppose -p*h = 54 - 238. Round h to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/7, 38, -2, 1\/3, 3\/5, 0.4 in ascending order.\nAnswer: -26\/7, -2, 1\/3, 0.4, 3\/5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -675\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-12) + (-1)\/(-4). Find the third derivative of -2*b**n + b**2 - 2*b**2 + 3*b**4 wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -56, 2, -2\/41, 29.2 in descending order.\nAnswer: 29.2, 2, -2\/41, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*(-42*24 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73451048*z**2 - 12570649*z?\nAnswer: 146902096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28) - (sqrt(28)*-3 + sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 minus 0.0967013716?\nAnswer: -18.0967013716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 6. Let d(m) = m - 4. Let u(a) = -3*d(a) - 2*g(a). Let c(h) = -2*h**2. Give c(u(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 11.41044.\nAnswer: -2.282088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*x**3 - 198*x**3 + 3*x**2 + 301*x**3 + 4*x - 3*x**2 - x**2 in the form n*x**3 + m*x**2 + h + s*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 48 = -47. Suppose 3*o = 20 + y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 9*y**3 + 5*y**3 + 3*y**3 + 0*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + (sqrt(539)*-3 - sqrt(539)) + sqrt(539) - (3 + 2*sqrt(539)))**2.\nAnswer: 70*sqrt(11) + 13481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-6) - (-1547)\/(-221).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7251860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/((-3)\/(-10)). Suppose 0*p = 3*p, a*k - 2*p = 35. Let j = 43 + -17. What is the remainder when j is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62829 - -580?\nAnswer: 63409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = -2*b - 0, -1 = -4*p + 5*b. Let a = -14 + 14. Let u(x) = 2*x - p - x + a. What is u(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4\/3, -13\/7 in increasing order.\nAnswer: -5, -13\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - 3 - (14 + -2 - (-45 - -56)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 292.53 and 0.4?\nAnswer: 117.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:09 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 102 + 230 = 0. Suppose s = -0*x + 2*x. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, 62, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 121*c**3 + 62590*c - 155*c**3 - 3*c**2 - 62590*c.\nAnswer: -34*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -220304 divided by -112?\nAnswer: 1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = -14*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -2)*(-7)\/((-63)\/6). Let k(o) = o**2 + 1 - 4 - 5*o + 2 - 3. Let l be k(6). Solve 6 = l*j + m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*k**2 + 97*k - 97*k + 1 - 22*k**2 in the form z + c*k + o*k**2 and give o.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1161*a**2 - 172. Let p(d) = -7*d**2 + 1. Let q(w) = -k(w) - 172*p(w). Let j(n) = -122*n**2. Determine j(q(h)).\nAnswer: -225578*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*r + 10*r - 3285. What is the remainder when 160 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28330.5 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51.38 + -52. Let n = k + 0.3. Let y = 0.2 + n. What is y rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/11360 and -101\/438152?\nAnswer: 622175840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 25167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31050 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoo when three letters picked without replacement from {o: 13, u: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, r: 2, a: 3}. What is prob of sequence rai?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -67*g - 1477. Give o(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/40 + 7\/8. Let x = 37\/6 + -343\/54. Let n = x + 89\/189. Is m less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*o**2 - 28*o**2 + 92*o**2 - 33*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 6*k**2)*(1 - 1 - 4)*(-k + k + k)*(4 - 1 + 0)*(-k + 0*k + 2*k) as l + w*k**3 + h*k**2 + c*k + x*k**4 and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 58884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*h)*(60 - 62 + 66).\nAnswer: -384*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 4. Suppose 2*q = 261 + 73. Suppose 0 = 3*l + 5*m + q, -4*l + 0*l - 251 = m. Let n = l + 70. Determine y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/273 in -24\/5, 2\/11, 4\/71?\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (540\/25)\/(24\/120). Solve 19*u = u - a for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7.5. Let j = w + -1.5. Let s = 6.9 + -6.4. Which is the nearest to -0.1? (a) 1 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827*i = 833*i. Suppose 9 = 2*b + q - 1, i = -3*q. Let a be 2\/(-5) - (-17)\/5. Are b and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -15*q**2 - 39*q - 38. Give u(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -14549 and -14549 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9592, -38407, -86438, -153685, -240148, -345827?\n\"Answer: -9608*w**2 + 9*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 542798 = 3*g. Let p = g + -2471399. Round p to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-20))\/((-1)\/(-15)). Suppose 5*o = c*o + 3*g - 10, 4*o + g = 18. Suppose 9*d - 8*d - 2 = 0. Solve -4*w + n = o*n + 5, 5*n = -d*w + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680 = -3035*u + 2950*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -30511.06 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -172*g + 30*g + 42*g + 31*g + 48*g. Let t(b) = 2*b. Calculate t(m(a)).\nAnswer: -42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -103*h**6\/15 + 629*h**5\/30 + h**3\/6 - h**2 + 3*h. Find the third derivative of u(m) wrt m.\nAnswer: -4944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 12*w = 4*b + 4, 0 = 4*b - 3*w. Let o(x) = -x**2 + 9*x + 10. Let h be o(9). Solve -z = -b*z + h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/6*(39\/130)\/((-78)\/(-1872))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 285593313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*i + 989 = -4*i + 3364 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72063, -72605, -73147, -73689, -74231?\n\"Answer: -542*l - 71521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1697 and -3137.3317.\nAnswer: -3138.5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 1. Let z be k - ((1 - -2) + -1). Is (-2330)\/(-14) + (-6)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 34 = 34*z - 31*z, -8*r - 5*z = -15 - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**3 + 10*c**2 + 97*c - 275. Let q(k) = -12*k**3 - 14*k**2 - 146*k + 412. Let i(m) = 5*q(m) + 7*z(m). Differentiate i(g) wrt g.\nAnswer: -12*g**2 - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b**2 + 6*b**2 - 3*b + 42 + 7*b**2 - 12*b. Determine z(-20).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-37 - -53) + (0 - 2). Solve -x*g - 49 = -147 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 2*f, 4*f - 26 = -4*i + 6. Solve 13 = i*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010100100010010 (base 2) to base 6\nAnswer: 1344030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -179.\nAnswer: -178.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 - 10*m**3 - 7*m**3 + 20*m**3 - 15*m**3.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-27)*4\/(-60)*6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:47 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.68851 millennia to decades.\nAnswer: 6668.851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1. Let j(c) = 4*c - 7. Let y(t) = j(t) + 6*q(t). Let u = -53 + 35. Let d = u - -17. Give y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -56. Suppose 4*z - 4 = 0, r - 15 = -2*r - b*z. Sort -5, r, 26 in descending order.\nAnswer: 26, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13739 - 7*w - 13739.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*(-13)\/((-2015)\/(-992))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 28. Let u be a\/(-14) + (-24)\/14. What is the biggest value in 0.07, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -6. Calculate the remainder when 14 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let t(u) = 6*u - 3. Suppose 2*f + 16 = 12. Let w(v) = f*s(v) + t(v). Differentiate w(x) with respect to x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 0*z**4 + 0*z - 3*z**6 + 26\/3*z**3 + 21 + 0*z**2 + 0*z**5. What is the third derivative of x(b) wrt b?\nAnswer: -1080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k**4 + 3985*k**2 - 18910 with respect to k.\nAnswer: -16*k**3 + 7970*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/114 and 51\/118483240.\nAnswer: 355449720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 + -951\/8. Is d at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1149998*v - 2. Suppose 27*i + 1 = 28*i. Let x be u(i). What is x rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(153) - sqrt(153))\/(sqrt(729) + sqrt(729)*-2 + sqrt(729) + sqrt(729)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0216716 millimeters to kilometers.\nAnswer: 0.0000000216716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7715 + -2.8715. Suppose -5*h - 11 = -1. Let z be h\/(-8) + 21\/(-20). Sort 1, -2, z, l in ascending order.\nAnswer: -2, z, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -17. Suppose -3*v = z*w - 284, 0 = 4*w - 2*v - v - 211. Suppose 165 = -2*k - w. What is k rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -191, -407, -709, -1097?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.009601 or -18401\/4?\nAnswer: -18401\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3928 - 26?\nAnswer: 3902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 3567.18 and 1.\nAnswer: 3568.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = o, 4*o - 4*k - 5 = -9. Let a(d) = -5*d + 14. What are the prime factors of a(o)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21492468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004101845 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76\/273 + -16642\/6825. Find the common denominator of -26\/2095 and i.\nAnswer: 10475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + o + 59, i + 8*o - 3*o = 41. What is the highest common divisor of 32 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(3*2\/12). Solve 2*d - 8 = k*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2\/11 + 1179842*h\/11 + 7078908\/11 = 0 for h.\nAnswer: -589909\/2, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 3*j**2 - 2*j**2)*(5 + 0 - 3) + (2*j - 3*j - j)*(-j - j + 0*j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:17 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2296 + -0.1415. Let m = -0.1331 - j. Round m to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 45*p + 55*p)*(p - p + 2*p)*(2 - 15 + 0).\nAnswer: -2496*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2. Let o(z) = 178*z**2 + 1251 - 623 - 628. Calculate w(o(v)).\nAnswer: -31684*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 5}. What is prob of picking 3 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 36 - 5*d + 7*d**2 - 4*d**2 - 35 + d**3. Let i be f(-4). Which is the smallest value? (a) -2 (b) -3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - d - 2. Let t be l(2). Let i(z) = -t*z**2 - 3*z**2 + 9 - 4*z**3 + z + 3*z**3. Determine i(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, -2, 10 in ascending order.\nAnswer: -2, -1, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2199 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80676?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1550578 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214712 is divided by 3909?\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*k + 540*k - 88*k + 165*k = -15769 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -14 + 0 + 3 + 15*d - 2. Let g(s) = -7*s + 6. Let w = -11 - -24. What is w*g(t) + 6*m(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 53 + -3*-1*(-3)\/(-9). Let h = -49 + p. Suppose -3*b + 2*n = -569, 3*n + 577 = 3*b + h*n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -59.00078. What is g rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(88)\/sqrt(32) + sqrt(11)))**2*-2.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3136a (base 12) to base 13\nAnswer: -23449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 9802841.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6aaea (base 15) to base 13\nAnswer: bb987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 62*c**2 - 83*c - 615. Calculate h(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.47 and 2560?\nAnswer: -1203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14696 = 1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 - 2*k**4 + 3*k**4)*(-75*k - 79*k - 127*k + 88*k).\nAnswer: -193*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -7. Let x = -1546.303 + 1545. Let f = x + 0.303. What is the second biggest value in f, p, -2\/3, 4\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 6*l - 2*o + 6, -5*l + 8 = 4*o. Let x(v) = -2*v**2 + l*v**2 - 7*v**2 - 4 + 8*v**2 + 2*v. Let f be x(2). Which is smaller: 5 or f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1836, -7886, -17926, -31956, -49976, -71986, -97986?\nAnswer: -127976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-734*a - 1336*a - 921*a - 8*a + 512*a + 145*a)*(-5*a**2 - 2*a**2 - a**2).\nAnswer: 18736*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/2)*(d*d**19*d*d)\/d)\/(d**(-2\/5)\/d)**(2\/63) assuming d is positive.\nAnswer: d**(1759\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 2*v**2 + 5453 - 2727 - 2723. Let q(k) = -k**2 + 4*k - 4. Calculate -4*q(p) - 5*x(p).\nAnswer: -6*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65 and 78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29458873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-190)\/8)\/((-3)\/12). Let a = r - 41. Is 13 a factor of 1 - (1 + a\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 2*f**2\/3 - 98*f\/3 + 98\/3.\nAnswer: 2*(f - 7)*(f - 1)*(f + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62, -126, -176, -206, -210, -182, -116, -6?\n\"Answer: p**3 + p**2 - 74*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - a - 1. Let b be k(-2). Let g = b - 3. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxx when three letters picked without replacement from xmmxyxm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 52, 69?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 4*h**2 + 4*h - 6. Let y be p(-5). Let m = -11 - y. Let t = 16 - m. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(35)\/sqrt(5) + -2*-1*sqrt(7))**2.\nAnswer: 18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2491552 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8) + 2 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 4\/3285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68716\/55 - 6247\/5. What is the second smallest value in -0.13, 0, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k. Let a be 192\/160*105\/24*4. Let s(m) be the first derivative of 0*m + 105\/2*m**2 - a. What is s(c(n))?\nAnswer: 210*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4323128 + -395.\nAnswer: -394.5676872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 - 45 - 43 + 62123*f - 46 - 42.\nAnswer: 62123*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.9. What is the closest to -2 in -4, 1\/2, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18bb6 (base 16) to base 4.\nAnswer: -120232312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50869.728ns?\nAnswer: 0.00000001413048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*c**2*k**6 + c**2 + 7*c*k**6 - 23*k**2 wrt k.\nAnswer: -1320*c**2*k**3 + 840*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, l: 1, b: 6, k: 1}. What is prob of sequence bkc?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 77. Suppose m = -p*j + 2674, 2*j + 4*m - 317 = 749. Suppose 0 = 3*h - j - 584. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 16, 0.27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -230, -833, -2012, -3959, -6866?\n\"Answer: -32*s**3 + 5*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00438563477 to 5 decimal places.\nAnswer: -0.00439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4493 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 - 300 = 0. Let x = j - 159\/2. What is the nearest to -2 in 2\/9, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**7\/70 + 301*k**5\/15 - 793*k**4\/12 + 3137*k**2. Find the second derivative of h(c) wrt c.\nAnswer: -36*c**2 + 2408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((16\/(-3))\/(-4))\/((-28)\/(-252)). Solve 5*p = -3*c + 1, -p - 11 = 7*c - l*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5298 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 188, 53, -716, -2437, -5428?\n\"Answer: -53*x**3 + x**2 + 233*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18020295 to the power of 1\/2, to the nearest integer?\nAnswer: 4245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 3. Let p be c(2). Suppose -s - 20 = -p*s + 3*x, 5*s - x = 14. Let q = 4 + -4. Solve q - s = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -813494*d**3 + 5744*d - 5744. Let g(y) = 708*y**3 - 5*y + 5. Calculate -5*b(j) - 5744*g(j).\nAnswer: 718*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 11, 0, 4, -4, -132?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 + 5. Let k be (-49)\/(-35) - 2\/5. Let b(i) = -6*i**3 + 16*i**3 - 9*i**3 - k. Let r(h) = h - 17. Let f be r(13). What is f*b(x) - q(x)?\nAnswer: -x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 x when three letters picked without replacement from xnxnxxxeexxnn?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 11, 3 in descending order.\nAnswer: 73, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4550 is divided by 1805?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 584855.9948 - 584960. Let a = w - -104. What is a rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 680273195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or 13888.27?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2374903\/6 - -393872. Let o = 1939 + g. Is -6 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*x + 110, -4*x - 16 = -4*d + 2*d. Let v be (-3)\/(3\/d*-2). Are 9 and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from {v: 15, m: 5}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*v + 9426 - 27047, k = -2*v + 17642. Let z be (211759\/(-5))\/(12\/(-5)). Let h = z - k. Find the common denominator of h and 95\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131454.9 centuries to millennia.\nAnswer: 13145.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6086, 4.\nAnswer: 1, 4, 6086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -20. Let i be 3961\/m - (-1)\/(-2). Suppose -9*q = -11*q + i. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/10)*m**(-22)*(m**(4\/19))**(-20) assuming m is positive.\nAnswer: m**(-4999\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*15*((-7)\/18)\/(112\/(-24))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -220, 5, 16, -2 in ascending order.\nAnswer: -220, -2, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*125\/(-100).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + t. Let z(u) = -5*u**2 + 9*u + 10. Let v(b) = 4*s(b) - z(b). Is 4 a factor of v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 + 50*m - 117. Let h(x) = 2*x**2 - 24*x + 58. Let y(q) = 6*b(q) + 11*h(q). Factor y(c).\nAnswer: -2*(c - 16)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3279 - ((-12)\/(-18) + (-8)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 5.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/6 + 6\/(-4). Let s be (-8)\/(-3) - w\/3. Suppose -g + s + 0 = 0. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29138 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 + 278. List the prime factors of i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 4*v - 3. What is g(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1251 - 164 - 3085 = 375*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -74081.085 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 6 = -3*s - 1, -25 = 5*s + 5*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 2. Let r be w(-8). Is 302\/6 + r\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/19))\/n)**45 assuming n is positive.\nAnswer: n**(90\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 - 586 = 50*q + 432 + 499 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04 and 5793?\nAnswer: 5792.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737 = 311*t + 4547 - 389 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 e when four letters picked without replacement from neennvveveen.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 4*a**2 - a + 1. Let r be j(4). Let k = -9 - 18. Let b = k + 29. What is the third smallest value in r, 2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 72*m**2 - 144*m - 224. What is the remainder when 176 is divided by w(-70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/130 and 113\/398320?\nAnswer: 398320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5276217 or 5276231?\nAnswer: 5276217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 167804510?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Suppose -3*v = -4*c + 231, c + 0*c - 2*v = 64. Let k be (1 - -2)*(-36)\/c. Let y(p) = 1. Calculate k*q(b) + y(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(3) - sqrt(18)\/sqrt(6)) + 5 + (sqrt(300) + sqrt(300)*-1)**2 + -3 + sqrt(3)*-2).\nAnswer: -4*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 198, 1711, 4572, 8835, 14554, 21783?\n\"Answer: 9*z**3 + 620*z**2 - 410*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + 0 + sqrt(75) + sqrt(75) - sqrt(75)) + 5)*-2 + (sqrt(75)*1*-3 + 1 + -1 + sqrt(75) + sqrt(75))*6)**2.\nAnswer: 1120*sqrt(3) + 4996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.63832 to 1 dp.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 3. Suppose 6 = h + 2*k, 2*h - r*h = -2*k + 2. Let s be -2 - (-2 + 1 + 0). Which is the closest to h? (a) -5 (b) s (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.58 or -0.09182?\nAnswer: -1.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 12 = 3*k, -12 = -b - 2*k - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5)**(-30)*z**(2\/3)*z\/(z**(23\/4)\/z) assuming z is positive.\nAnswer: z**(-1837\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/2 - 0\/3. Let w(j) be the first derivative of -j**3\/3 - 6*j**2 - 3*j + 46. Let p be w(k). What is the greatest common factor of p and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 475 and 0.0464?\nAnswer: 474.9536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814271289?\nAnswer: 3, 13, 20878751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - -73. Let w(v) = -4*v**2 + v - 3. Let a(b) = -3*b**2 + b - 2. Let y = -25 + 35. Suppose -10 = 5*m - y*m. Determine m*w(t) + r*a(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011111101 + 1110111011?\nAnswer: -100101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (134\/(-201))\/((-294)\/(-18))\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + (sqrt(95) + ((sqrt(95) + sqrt(95)*2 - sqrt(95)) + sqrt(95) - sqrt(95)))*1))\/((1*sqrt(5) + sqrt(5) + sqrt(5))*-6) + 4.\nAnswer: sqrt(19)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/20)\/(27\/45)*30\/55?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28976144, -115904573, -260785288, -463618289?\n\"Answer: -28976143*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26158729 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f. Let s(i) = -33*i. Determine 7*c(d) - 3*s(d).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2448 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2928 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(204)*2*4)\/((sqrt(108)*1)\/sqrt(9) - (sqrt(1452)*-1 + sqrt(12))).\nAnswer: -48*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 4*d + 2. Let o be q(-4). Let m = -78115\/6 - -52077\/4. Factor -m*n - 1\/6 + 1\/12*n**o.\nAnswer: (n - 2)*(n + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 21 = -j, 0 = 6*j - 3*u + 40 - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-2)*(-26)\/(-351)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/139, 1\/17, 2\/9, -1\/2 in descending order.\nAnswer: 2\/9, 1\/17, 2\/139, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-10))\/((-7)\/15) + -1. Let q = -219 - -219.84. Is q equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00195457 to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmaaammm. Give prob of sequence ammm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 - j - 5. Suppose 0 = -2*a - 2*v + 18, -7*a + 10*a - 7 = 2*v. Determine w(a).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 = -r, -4*r - 4 = 2*u + u. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, -1, -2, -6 in descending order.\nAnswer: 94, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 7*a**2\/2 + 1. Let t(n) = -213*n**2 + 211*n**2 + 0 + 3 - 3. What is d(t(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 20*k**2 + k. List the prime factors of t(1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 98*x**2 + 77*x + 2099. Give m(47).\nAnswer: -3118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144811 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d**2 + 3*d + (0*d**2 + d**2 - 3*d**2)*(0 + 3 - 4) - d**2 + 0*d**2 + 0*d**2)*(19*d - 12*d - 2 - 19*d).\nAnswer: 12*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 28. Suppose 0 = -6*g - 5 + 11. Let u = g - x. Solve 0 = 4*z - 3*r + 4, -5*z + u = 2*r + r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 + 101011?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + ((-3*-1*sqrt(96))\/sqrt(2) - ((sqrt(48) - (sqrt(48) - sqrt(48)*-2)*4) + -1))**2.\nAnswer: 112*sqrt(3) + 9405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 50 - (306 - 243)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + 2 - (-12 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 17 + 43. Let r = y + -10. Suppose -r*p = -3*z - 28190, 3*z - z + 18790 = 2*p. Round z to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -w + 5, -4*v + 6*w + 17 = 7. Let l(r) = -8*r**2 + 5*r + 4. Let h(p) = -p**2 + p + 1. What is v*h(o) + l(o)?\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52 * 5.3735.\nAnswer: 2.79422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -33 and -0.173371.\nAnswer: -33.173371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16059 (base 12) in base 16?\nAnswer: 79c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68593 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-3 + 498\/164). Suppose h = m + m. Suppose 87 - 3 = 4*s. What is the remainder when m is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -2.543?\nAnswer: 0.22887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24914*v + 24916*v + 5 = 5*g, -7*g + 16 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n + 988. Let q(w) = 9*w - 1001. Give -4*c(l) - 5*q(l).\nAnswer: 3*l + 1053","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**4\/4 + 2*i - 2. Let p be s(0). What is the remainder when 5 is divided by (-5)\/(-2) - p\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 12. Suppose 0 = 3*o - 0*o - w. Suppose 4*x + o = 2*c, -5*c + x = -4*x - 5. Calculate the greatest common factor of 3 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*l = 2 + 7, 2*l = p - 12. Determine n, given that 198 - 223 - 2*n**2 + 7*n**p + 20*n = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -664.9507 + 665. Let u = -2 + 1.95. Let g = i + u. What is g rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177317*l = 177313*l - 8*a - 36, -32 = 2*l - 3*a for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 35*w**2 - 10*w - 168. Let f(t) = 18*t**2 - 6*t - 89. What is -5*f(d) + 3*p(d)?\nAnswer: 15*d**2 - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 728 + -684. Suppose 0 = s*f - 43*f + 3*z - 14, 3*f - z - 2 = 0. Factor 1\/2*p**f + 0*p - 1\/2.\nAnswer: (p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*v + 2251, -4620 - 1030 = -5*v - 2*z. Suppose 8*c + 16 - v = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 2:05 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 - 13*h + 4. Suppose -7*b + 66 = 4*b. Let n(j) = -6*j**2 + 14*j - 3. Let c(o) = b*n(o) + 7*v(o). Let p be ((-60)\/25)\/(6\/20). Calculate c(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (-14 + 6 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21 - -138.\nAnswer: 137.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -4*w. Let g(m) be the first derivative of 5*m**w - 2*m**2 + 3 - 2*m**2 + 0*m**2. Let s(k) = -13*k**2. What is s(g(c))?\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -27\/14, 38 in decreasing order.\nAnswer: 38, 3\/8, -27\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 46 (c) -0.02 (d) -0.06 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-8))\/(-1 + -1). Which is the nearest to k? (a) 2\/11 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62700 + 4?\nAnswer: -626fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/49)\/(8\/28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*r + 1997 - 1997 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20056 = 10119*s - 9683*s for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1125300 divided by -112530.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -573, -475, -185, 393, 1355, 2797?\n\"Answer: 16*n**3 - 14*n - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 20 = p, 33 = -p + 4*p + 3*i. Let s = p + 9. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*z + 50247, -5*h - 735*z + 125600 = -740*z. Calculate the remainder when h is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -4.4, -1, 1\/8, 61?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y + 0*y)*(y**2 - 5 + 1 + 5).\nAnswer: -5*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*2\/(-4) - 0. Which is greater: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 15. Suppose -4*i - 35*i - 22*i + 3*i = 0. What is k(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2392)\/276*108\/78.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 2006*n**2\/3 + 6011*n\/3 - 4006\/3.\nAnswer: (n - 2003)*(n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*z + 12 = 0, -5*t = -5*z + z - 16. Suppose 240*b = 244*b - 20. Solve 2 = -2*g + f, 0 = b*f + 10 - t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758272628.\nAnswer: 2, 689568157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 2)*(2*r + r**2 - 2*r)*(15*r + 19*r - 11*r) in the form k*r**3 + v + u*r + o*r**2 and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5408431580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 208.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115227 to the power of 1\/2, to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 123957 + 4.84\nAnswer: 123961.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/41523 + 1993114\/207615. Factor 3\/5*l**4 + 0 - 66\/5*l**2 + 3*l**3 + h*l.\nAnswer: 3*l*(l - 2)*(l - 1)*(l + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 4. Let v be 12\/(-8) - (-6)\/4. Let n be a(v). Suppose -3*d + d = -2*x - 2376, 2*d - n*x = 2366. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-4)\/(sqrt(4)*-2*-3).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 51*d**3 - 5*d. Let o(a) = -1403*a**3 + 138*a. Determine 138*c(f) + 5*o(f).\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -134.04 and -5.\nAnswer: 670.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6660754 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4 (c) 56 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2838669, -2838638, -2838589, -2838516, -2838413?\nAnswer: -2838274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2. Let r(t) = -7 - 3 + 4 + 3 + 4. Let s(m) = -m. Let j be s(-1). Let a(q) = -5*q - 5. Let o(z) = j*a(z) + 5*r(z). Calculate d(o(l)).\nAnswer: -100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 8:27 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 1 - 2)*(57*g - 14*g + 25*g) + g - 3 + 3)*(9 - 3*g - 4*g + 9*g) in the form v*g + b + c*g**2 and give c.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 7 - 7 + (-x + 0*x - x)*(2*x - 6*x + 3*x) + 2*x + x**2 - 2*x + (-1 + 2 + 0)*(-x**2 + 5*x**2 - 2*x**2) to q*x**2 + v + g*x and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:29 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 12*n + 3*j + 972, -5*n + 1208 = -2*j. Let y(t) = -t**3 + 5*t**2 + 2*t + 5. Let c be y(4). Let r = n + c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1108*x**2 - 307*x + 15\/2.\nAnswer: (4*x - 1)*(554*x - 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63002 - 33098. List the prime factors of u.\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17508*w - 12543 wrt w?\nAnswer: 17508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672778730?\nAnswer: 2, 5, 13, 283, 18287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578779.4ml to litres.\nAnswer: 578.7794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3\/4, -110, -2, -1, -2\/5 in descending order.\nAnswer: 15, -2\/5, -3\/4, -1, -2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*u - 57, 0 = 2*u - 3*k + 46189 - 46161 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + (sqrt(15)\/((sqrt(48)\/sqrt(4) - sqrt(12) - sqrt(12))\/sqrt(4)) - -5*(0 + sqrt(605))))*-5)**2.\nAnswer: 5400*sqrt(5) + 364600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (116\/(-10) - -10)*(1 - 881) - 7?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3039 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 20*c**2 - c + 2. Let v(n) = -118*n**2 + 26*n - 31. Let p(z) = 6*o(z) + v(z). What is p(-10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-15))\/((-49786)\/(-4340) + -18 + 2\/(-28))?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6041 * 0.2.\nAnswer: 1208.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 60 = -o - 50, -o + 2*b = -13 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 51. What is v(44)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/24*70\/(-15). Let v = 57 - g. Find the common denominator of -42\/43 and v.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750817513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8212826 millimeters in micrometers?\nAnswer: 821.2826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-12))**(-2\/5)\/(x**(14\/3)\/(x\/x**(-5\/8))) assuming x is positive.\nAnswer: x**(211\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/8 - ((-233)\/699 - 46\/(-112)). Let k = 0.3 + -0.1. Which is the second biggest value? (a) k (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7574425 (base 8) to base 9\nAnswer: -3733373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -34*q + 2*q + 63*q - 29*q. Let k(t) = t**2 - 74*t. Let g(l) = -l. Let x(v) = 4*g(v) + k(v). Determine x(a(y)).\nAnswer: 4*y**2 - 156*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3673, 3611, 3549, 3487, 3425?\n\"Answer: -62*r + 3735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*k + 2*p, -44*p + 41*p = -4*k + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3032 is divided by 969?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5207*b + 15621. Give a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/7 and 55\/3611882.\nAnswer: 25283174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/21*77 - 0)*-1 + -36\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjvvtzhzizht. What is prob of picking 1 h, 1 v, 1 t, and 1 z?\nAnswer: 32\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v - 5 + 0*v)*(4*v + 2*v**2 - 4*v).\nAnswer: -4*v**3 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 - 39797*t**2\/4 - 238751*t\/4 - 198955\/4.\nAnswer: -(t + 1)*(t + 5)*(t + 39791)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3002 - -10?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -389, -405, -425, -443, -453, -449, -425?\n\"Answer: f**3 - 8*f**2 + f - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 + -3)\/(-2))\/(-1). Suppose -2*f + 24 = 3*f - 2*c, -4 = -2*f - 2*c. What is the lowest common multiple of (k\/2)\/(5\/(-90)) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(275)*-1 + sqrt(275))*5)\/sqrt(5))\/((2*sqrt(352))\/(sqrt(128)*1 + sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 116 = 2*a, 4*a + d + 19 = 260. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 821*k - 826*k - 59, -4*k = 10*q + 72 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -124, 0.04, -11, -3, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (217*a - 267 + 267)*(-5 + 0 + 2) in the form h*a + o and give h.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t**3 + 4*t**2 - 49*t - 47. What are the prime factors of f(10)?\nAnswer: 7, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546025357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2)**(2\/21))**35\/((v*v\/(v\/v**8)*v*v*(v**(-1)*v)\/v*v*v*v)\/(v**0\/v)**47) assuming v is positive.\nAnswer: v**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1013*m**4 + 7702*m wrt m.\nAnswer: 12156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**3*z - 319*v**3 - v**2*z + 285*v**2 - 211572*v*z - 22*v wrt v?\nAnswer: 6*v*z - 1914*v - 2*z + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 462356 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/(-64)*(-16)\/(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6792 + 6797. Solve -y = -204*q + 203*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*l - 11 = 0, j = 3*j + 4*l - 6. Suppose 0 = -4*g - 0*a - j*a, g = 5*a. Let y(k) = -2*k + 13 + g - 7 - 2. What is y(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/4 + 9*n**3 + 51*n**2\/2 + 3247*n. Factor m(z).\nAnswer: 3*(z + 1)*(z + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -650040*v**3*w - 9825*v**3 - 17*v**2 wrt w.\nAnswer: -650040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202113 (base 4) in base 11?\nAnswer: 12a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k = 245. Let s be 42\/k*70\/2. Solve -4*a + s = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27450 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275 - 280 - 273 + 828 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 5*b**2 - 9*b - 15. Let q be z(-6). Let d be (-5 - -8)*(-1)\/q. Is 12 a factor of 26 + 0 - (4 + d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 422171 and 591.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h - 13. Let s(f) = f. Give -i(k) - 6*s(k).\nAnswer: k + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((-18)\/(-10979118)). Let p = y - 3302. Suppose 2*n + 0*n = -3*v - p, 0 = v + 5. Round n to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 8*x - 10. Let o(f) = -f + 1. Let s(i) = g(i) + 4*o(i). Let b(w) = 65*w**3 - w + 2. Let v be b(1). Let n be (-6)\/(-99)*69 - 12\/v. Give s(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-130) + 82\/26. Suppose 3*d - s*j = 633, -3*d + 2*j = j - 631. Suppose 5*y - d = -55. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -37. Suppose -k*j = 13 - 29. Solve 3*d = d - 3*i - j, d - i + 6 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**4 - p + 2. Let c(u) = -12*u**5 + 2*u**4 - 19*u**3 + 1005*u - 4. Let s(r) = c(r) + 2*h(r). Find the second derivative of s(f) wrt f.\nAnswer: -240*f**3 - 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16569752 to 3 decimal places.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4222.1 - 4221.87349. Let f = -0.2178 + q. Round f to 4 dps.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)*j*j)**(-2\/73))**(-1\/14) assuming j is positive.\nAnswer: j**(16\/3577)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 5*u + 2. Suppose -23 = -17*r + 18*r. Let o = 30 + r. Let d(w) = 20*w - 3*w**2 + 4 - 9*w + 3 + 5*w. Determine o*v(h) - 2*d(h).\nAnswer: -h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1240 + 1560. Calculate the lowest common multiple of 400 and o.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1482852 to the nearest 1000.\nAnswer: -1483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d5407 (base 14) to base 4.\nAnswer: -1331131333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*d + 114*d = -46208. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/((-1)\/(-2)). Suppose -b*t + 7*t = 20. Calculate the remainder when 13 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 + n**2 + n. Let s be q(-1). Let x(a) = -a + 6. Let l be x(s). Suppose -4*d = -2*z - 36, -17 = -3*d - 5*z - l. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Suppose 0*v - v + w = 3*n, 6 = 5*n + 4*v. Let r = 14 + -8. Solve -u - n = -r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v. Let g(d) be the first derivative of 5*d**4\/12 + d - 2. Let h(l) be the first derivative of g(l). Calculate h(q(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75.6 - 71. Let b = -44.4 - z. Let v = -42 - b. Is v at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-1*3 - sqrt(66))*-1*3)\/((sqrt(726) - sqrt(726)*1)*-3 + ((sqrt(726) - (sqrt(726) - 1*sqrt(726))) + sqrt(726) - sqrt(726))*4).\nAnswer: 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/7*t**4 + 0*t - 10\/7*t**5 + 0 - 4\/7*t**2 - 18\/7*t**3.\nAnswer: -2*t**2*(t + 1)**2*(5*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v. Let t(j) = -j. Suppose -3*o - 3*q + 6*q = -30, -30 = -3*o - 5*q. Let y = -11 + o. Determine y*t(s) - u(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = 653 - 833 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30221.04 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.4 (b) 0.1 (c) 2 (d) -170 (e) -0.13 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1769 and 35169083?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) + (-2)\/3*(-3410)\/(-496).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 272 + 95)*(-5*k**5 + 0*k**5 + 5*k**3 + 4*k**5) - k**5 - 5*k**3 + 5*k**3.\nAnswer: -387*k**5 + 1930*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 124\/2480*((-7)\/(-1) - (-11 + 10))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*l - 62*l + 37*l)*((6*l - 5*l + 4*l)*(-3*l + 4*l + l) + (4*l - 4*l - 6*l**2)*(-4 + 4 - 5)).\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 3*z - 567. Suppose z*p = 66*p - 252. Let d = 35 + -13. What is the remainder when p is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = 5*q - 12*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4*y - 41*b**4 - 15*b**3*y + 55*b**3 - 9*b**2*y + 154*b**2 + 150*b*y + 2 wrt b.\nAnswer: -24*b*y - 984*b - 90*y + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46822119 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 62*k**2 + 84*k + 87. What is the tens digit of n(62)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**3\/3 + 1284*m**2 - 10605*m - 8538. Differentiate y(d) wrt d.\nAnswer: 2*d + 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**3 + 0*p**3 - p**3)*(89*p + 115*p - 44*p + (-46 - 38 + 47)*(-p + 0 + 0)) to s*p + y*p**2 + x*p**3 + z + t*p**4 and give t.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*b = 36 + 60, b - 4 = 0. Let p(k) = -39*k**3 + 27*k**2 - 27. Let r(w) = 3*w**3 - 2*w**2 + 2. Give d*r(z) + 2*p(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/45192 and 71\/780.\nAnswer: 2937480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 6. Suppose -3*m = -4*d + 26, 8*d - 5*d - 2*m = x. Differentiate 2*q**2 + d + 0*q**2 - 2 + 0*q**2 with respect to q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.4, -0.0515?\nAnswer: -0.0515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r + 16. Suppose -r*y + y = 0. Solve y = -w + q - 8, 4*w + 5*q - 7 + 3 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = -2*k. Let y = 0 - k. Suppose -5*d + 14 = 5*m - 81, 4*m - y*d = 58. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -425 times 83651?\nAnswer: -35551675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77\/5? (a) -2\/7 (b) 2 (c) -4 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {l: 2, z: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3)\/((-63)\/(-39))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -337*f**4 - 12*f + 86. Suppose -6*b - 401 = -299. Let h(d) = 1009*d**4 + 34*d - 258. Let q(t) = b*z(t) - 6*h(t). Differentiate q(i) wrt i.\nAnswer: -1300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Suppose 5*o - 5*r = 45, -5*o + 13 = -0*r + 3*r. Calculate the least common multiple of j and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894151537.\nAnswer: 894151537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798065.\nAnswer: 3, 5, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 247*h**2 + 241*h**2 - 4.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/5957376 and 85\/256.\nAnswer: 5957376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3212 minus 1662102988?\nAnswer: -1662102994.3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 2295.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178314 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by 5\nAnswer: 339\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12267.1 or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -187*x + 738. What is r(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000770454 rounded to six decimal places?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21317973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.77 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 6*n**2 - n - 6. Let m be w(-6). Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275233.\nAnswer: 7, 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m - 46. Give x(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 670*v**2 - 169*v + 36. List the prime factors of s(3).\nAnswer: 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 + 296 - (-22 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7102688*s**2 - 1008392 wrt s.\nAnswer: -14205376*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -q + 25, 19*q + 15 = 23*q + g. Solve -k - 2*s = -3*s + 4, q*s = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -6\/5, 0.28, 2, -5\/4, -10.\nAnswer: -10, -5\/4, -6\/5, -0.3, 0.28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 4*v = -6 - 14 + 38, -17 = -5*o - 2*v - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/183220 and 38\/4075.\nAnswer: 149324300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25342010*c**3 + 8702731*c?\nAnswer: -152052060*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/103*108\/(-270).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -77, -3, 3 in descending order.\nAnswer: 3, 0, -3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**21\/g)**(-4\/5) assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 + 4*y + 4. Suppose -h + 2*h + 5 = 0. Suppose 0 = r - 5 - 2. Let s(q) = -1 + 3*q**3 - q**2 + r + 5*q - q**3 - 1. What is h*d(o) + 4*s(o)?\nAnswer: 3*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -194 (b) 50\/3 (c) -0.5 (d) 2 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224945 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -9 + -5 + 8 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62122, -62127, -62132?\n\"Answer: -5*m - 62117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**4 + 706*z**3 - 21*z**2 - 402*z wrt z?\nAnswer: -24*z**2 + 4236*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29259906 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 12 = -3*v, 2*h - 18 = 3*v - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*x + 17*x**5 - 9*x**5 - 5*x**5 wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -136, -363, -682, -1093, -1596, -2191?\n\"Answer: -46*f**2 + 3*f + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -444 + 654. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 2:27 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 6:52 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81314 + -714914. Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 33*l + 131. Give k(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 4495?\nAnswer: -449a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 57406 divided by -2?\nAnswer: -28703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t - 28. Let g be q(10). Let x be ((-22)\/6)\/(10\/(-60)). Are g and x nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*d - 82499996, -3*d - 4*m + 77874001 = 28374017. What is d rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m + 8 = p, -5*m + 16 = -3*p. Let k = -37 + 44. Suppose 3*n - 3 = 6*n - 4*t, -5*n + 4*t + 3 = 0. Solve k = -m*i - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/4 - 25967*j**2 + 2699527733*j\/4 - 61979294183\/2 = 0.\nAnswer: 46, 51911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 4*p**2 + 5*p - 4. Let m be t(-5). Which is the nearest to -1\/3? (a) -0.3 (b) 1\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + z**2 - 10 + 4 + 3.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 8*n - 17*n + 5*n + 9. Calculate t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46, -81, -104, -115?\n\"Answer: 6*i**2 - 53*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9984441 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 17*n + 15. Calculate f(-14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 227 = -21*b, -78 + 28 = -4*b - 3*x for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -352, -353, -354?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/249 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -270753 rounded to the nearest 1000?\nAnswer: -271000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 + 3448*f\/5.\nAnswer: -2*f*(f - 1724)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, 2\/7, -1, 21, -3\/70, -10.9?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -95. Suppose 5*u + 3*g + 26 = 0, 2*u + 4*g = 4*u + 26. Let s(p) = p**3 + 5*p**2 - 29*p - 94. What is the remainder when m is divided by s(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -5330 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232 (base 5) in base 12?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12469076 - 1223103.\nAnswer: 11245973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 2. Let x be h(-6). Suppose x*f - 78 = f. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.08 or 10\/3203?\nAnswer: -5.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 56, 113, 208, 353, 560, 841, 1208?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3 = -4*h - 18, 0 = -3*a - 3*h - 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 take away 152502747227?\nAnswer: -152502747249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68105 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107016, -107004, -106978, -106932, -106860?\nAnswer: -106756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -35*o**3\/3 + 8. Let m(w) = -2*w**2. What is t(m(u))?\nAnswer: -140*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -1, -122, -29, -6.\nAnswer: -122, -29, -7, -6, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/32*4)\/((-225)\/180)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 11 = -2*j - 2*j. Which is bigger: 42\/313 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -5. Let n(u) = -5*u - 62. List the prime factors of n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 1. Let l(s) = 3*s. Calculate l(q(u)).\nAnswer: -6*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Suppose -g = v*u - 5 - 9, 4*g = -3*u + 4. Suppose -3*q + 5*q - u = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41339\/16 + -2584. Suppose -i - 662 = -2*i. Calculate the common denominator of k and 10\/25 + i\/20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -5 (c) -0.5 (d) 22 (e) -213\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2101?\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (528\/396)\/((-12)\/45)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + 27. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20500 + -18000. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1901*t - 11407. Calculate y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = -0*g + 11318 - 11395 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -4587.1.\nAnswer: 1834.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 + -8 - 24) + -47.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5805 and 2580.\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/85*(-3530)\/(-31064).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 3:22 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let p(z) = -3*z**2 - 4*z + 4. Let b = 23 + -20. Let a(y) = 4*y**2 + 3*y - 3. Let i(x) = b*p(x) + 4*a(x). Calculate i(s(m)).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 215 = -685. What is the units digit of (-1)\/2 - (-40275)\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 + 223. Suppose -4*f - 71 = 33. Let a = y + f. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - 819\/(-8 + 21)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 47 = -3*y + 145, -80 = -3*y - 5*s. Solve 0 = -14*w + 8*w + y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*m - 1361*m + 327*m + 383*m + 6.\nAnswer: -116*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87147, 87109, 87047, 86961, 86851?\nAnswer: 86717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -4*f**2 + 9*f - 1. What is the derivative of a(z) wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (6 - 2) - 3 - (5 + (19 - -45)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.008869 or -0.1?\nAnswer: 0.008869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4788*r*t**3*x**2 - 93*r*t**2*x - 16*r*t*x + 15*r*t - 55804*r*x**2 - t**3*x - t**3 - 2*t**2 + 66*t wrt x?\nAnswer: -9576*r*t**3 - 111608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (261\/754)\/(756\/336)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 3126660.\nAnswer: 53153220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -22. What is the units digit of 2 - (u + 2 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -61 + 1. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 48. Suppose p*d = -q + 1, -3*d + 16 = -5*q - 2. Put 0.1, -2\/9, q in ascending order.\nAnswer: q, -2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118581 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 643. Let n(x) = 3*x - 650. Calculate -3*n(l) + 2*o(l).\nAnswer: -3*l + 664","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + 7a70?\nAnswer: 7a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*t**3\/2 - 6870*t**2 - 5514*t - 1104.\nAnswer: 3*(t - 184)*(5*t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.59744 - -3.6. What is c rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1140843997 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - q - 1. Let i be d(-1). Let v(h) = h**3 + 3*h**i + 0*h - 4*h - 2 + 4*h. Let l be v(-2). Which is smaller: 7\/5 or l?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*j**4 + 2*g**2*j - 288*g*j**4 - 109*g*j**2 - 7*g*j - 2*g + j**3 wrt j?\nAnswer: -48*g**2*j - 6912*g*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p**3 - 2*p + 192 with respect to p.\nAnswer: -9*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -25*n + 31. What are the prime factors of y(-6)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000185805663 to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 11:57 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 3\/(-3))*0. Let x be 0 - (10\/6)\/(-5)*p. Suppose x = -5*r + 28 + 117. Is 29 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-2457)\/637)\/(3\/(-14)) and 1*2 - -13*1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25249 = 25282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 4792*t**2 - 33587*t + 28794.\nAnswer: (t - 6)*(t - 1)*(t + 4799)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 1 - 1)*(0 - 3 - 3)*(-4*c**4 + 6*c**4 + 0*c**4).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = 8. Suppose 2 = -n*r - 1. What is the nearest to 0.1 in -2\/21, 1, r?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 92*b**3 - 3*b**2 - 3*b + 86. Let r(a) = 736*a**3 - 23*a**2 - 23*a + 690. Let o(y) = -6*r(y) + 46*w(y). What is the derivative of o(u) wrt u?\nAnswer: -552*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21597 divided by -168\nAnswer: 7199\/56","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10011?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39160 and 16?\nAnswer: 78320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x = 15*x + 17*x - 112 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6380 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 11*f**2 + 34*f + 8. Let i(n) = 3*n**2 + 8*n + 2. Let c(q) = -9*i(q) + 2*p(q). Let m be c(-7). Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - (-1 + -2)*-1. Suppose -u = -v*u + 115. List the prime factors of u\/7 - 8\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-5)*k*k)\/k)\/k)\/k**5*k**(-36)*k**(2\/9)\/(k**(2\/7)*(k**(-2)*k)\/k) assuming k is positive.\nAnswer: k**(-2713\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242771.\nAnswer: 103, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**4 + 536*c**3 + 39436*c**2 + 38896*c = 0.\nAnswer: -52, -1, 0, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*-1)\/(14\/1736). Let d = b - -151. What is the lowest common multiple of d and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012126 rounded to 5 dps?\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(-5 + sqrt(1088)*1) - (sqrt(1088)*1*-5 + (4*sqrt(1088)*-1 - sqrt(1088))))**2.\nAnswer: -658365 + 4400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -327 - -872. What is the highest common divisor of 109 and k?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3304)\/141246)\/((-1)\/9)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, g: 6, b: 2}. What is prob of picking 1 b and 3 g?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 44. Is (106\/4)\/(2\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 59859?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 10. Let r be (u\/(-32))\/(3\/2). What is the third smallest value in 1, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33310 + -200?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29627631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.33 + 0.33. Let o = m + 35.3. What is o rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 4*f - 2*g - 56 = 0, -5*f = 3*g - 68. Suppose -3*m = -3, 0*m = -4*u + 4*m + f. Suppose 12 = u*a - k, 2*a = 3*a + k. 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 the remainder when 45504 is divided by 4135?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -14\/13, -4, -5, 5, -38 in ascending order.\nAnswer: -38, -5, -4, -14\/13, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v - 2*v**3 + (-4*v + 2*v + 0*v)*(-2*v**2 + v - v) - 5*v**3 + 2*v**3 + 4*v**3 - 1755*v**3 + 1950*v**3 + 3*v**2 - 3*v**2.\nAnswer: 198*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 3) + -2 + 3. Let b = 1 - r. Let u be 0\/((15 + -11)\/4). Solve -b*n + 3*s = n + 7, u = -3*s + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - r = 2*r - 132, -4*r = 5*x - 166. Let h = -18 + 12. Let n(k) = -2*k - 6. Let l be n(h). What is the highest common factor of l and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 12:23 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.797674 rounded to one dp?\nAnswer: -87.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 92, 295, 684, 1319, 2260?\nAnswer: 3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/27*21*(-5)\/(-7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - -1)*41\/82. Let i be -3*z\/24*-158. Calculate the greatest common divisor of 711 and i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 29*p - 58. Let d be b(-31). Solve -d*i + 12 = 4*n, 5*i + 24*n = 25*n + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/1836)\/((-2)\/(-6))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4) + 7\/(-14). Let m = 20 - -114. Suppose -c = -t*z + m, -4*c + 148 - 14 = 2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*g**2*i**3*j - 13*g**2*j**2 - g*i**2 - 29*g*i*j**2 - g*i*j - i**3*j wrt g.\nAnswer: 134*i**3*j - 26*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220 - 12030240?\nAnswer: -12030020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 22*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-2*b**4 - 2*b**4 + 3*b**4) + 12169*b - 12169*b + 1196*b**4.\nAnswer: 1197*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41041403 (base 5) to base 6.\nAnswer: 11031421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {u: 1, i: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10330 + 322041?\nAnswer: 311211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) 16 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -8, -1, 2, -4 in descending order.\nAnswer: 10, 2, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 372*r**2. Let w(t) = -3*t**2 + 456. Determine w(x(y)).\nAnswer: -415152*y**4 + 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -14*a + 12*a. Suppose -u - a*u = -5*l - 23, -3*l = -5*u + 17. Is u at most as big as -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 + 206. Let o = u - 54. Let n = o - 33. What is the closest to n in -1, 3, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)*(-5 - -2). Let o = -23 + 14. Let m be (p - o)\/2 + 0. Solve s = m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t. Let g(n) = 0 - 1 + t*n**2 + 2*n**2 + n**2 + n**3. Let h be g(-3). Is -1 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 4650 = -10*x - 3*o, -3742 = -4*x - 2*o. Let v = x + 44. Does 95 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -839614 or -15952668\/19?\nAnswer: -15952668\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17542 and 49046?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215001 is divided by 779?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2840, -5, -958.\nAnswer: -2840, -958, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1408027541 - 73220273305\/52. Let j(c) = -438*c**3 - 5*c**2 - c + 6. Let m be j(-5). Let n = f + m. Calculate the common denominator of n and -25\/22.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1195*x - 6. Let b(z) = -1794*z - 10. Give -5*b(g) + 8*k(g).\nAnswer: -590*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/11? (a) -495 (b) -0.1 (c) -11 (d) -4 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0*u**3 - 6 + 0*u**3 - u**3 - 6*u**2 - 2*u. Let k be l(-6). What are the prime factors of (20\/6)\/(2\/k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 516, 5 in descending order.\nAnswer: 516, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 87. Suppose 4*n + 11 - a = 0. Suppose -9 = n*t - 3. Which is greater: t or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 6*a = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2 = -5*f - 2, -12*f = -3*d - 0*d - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(246\/(-3362)*1\/(-6)*4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, i: 3, a: 2, c: 1, p: 1, d: 3}. Give prob of sequence aac.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4499, -8996, -13495, -17996, -22499, -27004?\nAnswer: -31511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -356*o - 6043. Calculate p(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -906 divided by 24267.\nAnswer: -302\/8089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = y - 5, 0 = -5*x - 3*y - 28 - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 3) + -244 + 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29855738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.3527 + 23.6359. Let w = 93 - u. What is w rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*g - 441*g - 500*g as j*g + t and give j.\nAnswer: -846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 83 - 43 - 44. Let k(l) = -l - 1. Let i = -3 + 2. Calculate i*w(h) + 2*k(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {z: 2, t: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r + 2. Let u = -22 - -32. Calculate the remainder when v(-3) is divided by -7*(3 - u\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1 - 6 + 25*n**3.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1674 divide 7472736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*(p*(p*p\/(p**31\/p))\/p)\/p*p)**32\/(p**(-2\/69)*(p**21*p*p)\/p) assuming p is positive.\nAnswer: p**(-56716\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 721506 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: Suppose 570 = -18*d + 13*d. Let m = -60 - d. Is m a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148262 by -1425.\nAnswer: -148262\/1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -35234.83 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5\/5 + 2*k**4\/5.\nAnswer: -2*k**4*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 380, 388, 394, 398?\n\"Answer: -p**2 + 11*p + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3\/5 + 325328*f**2\/5 + 2644721010*f - 502966875276\/5 = 0.\nAnswer: -81351, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -6*z + 6*z + 15*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8840)\/425)\/((-176)\/550)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 175 = 0. Suppose -5*m + d = -70, -7*m + 5*d = -3*m - c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6. Let o = 0.1 - 0.1. Let w = o + 0.1. Which is the second biggest value? (a) w (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -0.100001?\nAnswer: 1.00001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 979, 908, 825, 724, 599?\n\"Answer: -c**3 - 64*c + 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5)*6 + sqrt(5) + -3).\nAnswer: -14*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u**2 + 6*u - 10. Let i(a) = -6*a**2 - 3*a + 6. Determine 2*h(k) + 5*i(k).\nAnswer: -8*k**2 - 3*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -54040000 to the nearest 1000000.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43377, -43878, -45241, -47898, -52281, -58822?\nAnswer: -67953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -588 and 1?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 254 + -253. Let o be 2\/(-24)*(-8)\/9. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14337?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (7 - (52 - 26))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 273 + -309.8. Let o = 1033 - 1070. Let u = m - o. Sort -1\/6, u, -2\/3, -3\/4 in ascending order.\nAnswer: -3\/4, -2\/3, -1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12877\/2417 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 943369 * 1\nAnswer: 943369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 9 in decreasing order.\nAnswer: 9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (135\/(-4))\/3*-4. Suppose 2*m - w = -11. Suppose -5 = -4*n - m. Which is the third smallest value? (a) 5 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354 divided by -6.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.39 - -0.19. Let s be 1 + ((-2)\/9 - 1). Let q(p) = -5*p**2 - 20*p + 4. Let o be q(-4). Which is the second biggest value? (a) o (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 16*v**2 - 9 + 6*v.\nAnswer: 16*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-6\/5)*d**(3\/23)\/d*d*d**(-6\/11)*d**(3\/2) assuming d is positive.\nAnswer: d**(2239\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 185 = 5*w, -w = 4*h + h - 16. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 2. Let k = r - -7. Suppose -k*a = o + 46402, -4*o = -4*a - 6*o - 46404. Round a to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -25421, -2, -1, 0, 5 in descending order.\nAnswer: 5, 0, -1, -2, -26, -25421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - (0 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 148*h - 5298. Determine q(-61).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0 + 0)*(0 - 4 + 3) + (10*k + 4*k - 5*k + (-3*k + 3*k + k)*(-1 + 3 - 4))*(-15*k - 7*k + 8*k).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8145 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 14*b**2 + 12*b + 1. Let o be d(-13). Calculate the highest common factor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40529 or -40527?\nAnswer: -40527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 3952 = 6*y + 2*c, -5*c = 25. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 29 (c) -2\/21 (d) -13 (e) 1\/5 (f) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815577 is divided by 604570?\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1.7. Let c = m - 0.9. What is the smallest value in 1\/2, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/u*u*u**1)\/((u\/u**(-1\/2))\/(u\/u**5))*u*u\/(u*u**(-7))*u*u*u**5*u**(-2)*u\/(u*u*u\/((u\/(u*u\/u**(-6))*u)\/u)*u*u) assuming u is positive.\nAnswer: u**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-9*9\/54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.026 + -0.152. Let r = -0.012 + y. Round r to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v**3 - v**2 + 2*v + 1. Let f be o(2). Suppose 0 = 2*g - f - 9. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*t - 94, -5*t = -3*k - 2*k + 120. Suppose 30 + k = 7*q. Suppose -637 = -q*v - 101. What is v rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 5*p**2 - 5*p - 1. Let i be k(4). Let g = -5 - -10. Sort i, 4, g in descending order.\nAnswer: g, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b384 - -5?\nAnswer: -b37e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-10)*(-3)\/5)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3398, -6757, -10108, -13451?\n\"Answer: 4*g**2 - 3371*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from beeeewjkwzww.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 2)*(-4)\/(-14). Let k(y) = -1 - y**q - 14*y - 7*y - 6. List the prime factors of k(-13).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 14*s + 3. Let r be b(-14). Suppose 3*w = -r*t + 135, 5*w = 4*t + w - 140. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cahhrc. What is prob of sequence carh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 967.05382 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:46 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u + 16*u + 2 - 5*u + 0.\nAnswer: 28*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*t + 2 + 0 - 1 - 983*t - 3779*t.\nAnswer: -5340*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 64*i**2. Let c(o) = -9*o**2. Determine w(c(a)).\nAnswer: 5184*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 - 8 - -88 - 73?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 2979.\nAnswer: 19\/2979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -1\/4, 0.4, -2\/19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5541870?\nAnswer: 2, 3, 5, 31, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7969702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 8:31 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2718.2 to the nearest 10.\nAnswer: -2720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 675*i**3*y**2 + 332*i**3*y - i*y wrt y.\nAnswer: 1350*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 27*c - 102. Let p be l(-5). What is the units digit of 4\/((-40)\/(-3926)) + p\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12fbc + -4?\nAnswer: 12fb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9.963187 times -26\nAnswer: 259.042862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.48636199 rounded to 3 dps?\nAnswer: -21.486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (13\/(52\/(-12)))\/(-1). Suppose -f + 2*f = 3. Solve -3*p + f = 2*j + 2*j, -p = -u*j - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j*j**0)\/j))**(5\/19)*(j\/(j\/j**(-2\/5)))**(-2))**(-1\/33))**(-6) assuming j is positive.\nAnswer: j**(202\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/(-5) - 0) + (-2)\/2. Solve -f*q + 4*y + 7 = 0, 2*y - 7 - 6 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4184\/124237 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (11 + (11 - -13) + -11)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let s be d(-2). Suppose -7*g - 90 = -2*g. Let i = s - g. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1076 by 1.\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 240389487 to the power of 1\/3, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59.4 from -567088.\nAnswer: -567147.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q - q**2 + 6*q + 6*q to w + r*q**2 + o*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/84 and -1\/2464224.\nAnswer: 2464224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -5*c + 164. Suppose -2*o + c = v - 67, -o + 68 = -2*v. Suppose -7*m = -m - o. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -605, -604, -603, -602?\n\"Answer: t - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (217 + (-136296)\/648)\/((-2)\/30)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 + 1 = 0. Let i(z) = 2*z - 8. Let b be i(6). Find y such that 8*y**5 + y - 18*y**2 - j*y**5 + 3*y - 22*y**b + 30*y**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = -4*z, -3*u = z + u + 2. Suppose 2*j + s = -0*s - 9, -z*s = 5*j + 21. Is 5 + -3 + 8 - j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.068420021 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224)\/320*375\/1260)\/(2\/8).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*j - 4 + 27*j + 33*j + (1 - 1 + j)*(3 - 2 - 3).\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m + 3*i + 39, 3*i - 26 = -0*m + m - 49 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/549 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 10. Let i be (-510)\/44*4\/46 - 4 - -5. Sort i, q, 5 in ascending order.\nAnswer: q, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.26 (b) 2 (c) 5 (d) 0.3 (e) 0.5 (f) -3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 2 = 0. Suppose -2*a = 2*a + 8. Let j be (-2 - -2)*(c + a). What is j rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 4*g + 3. Let l be i(2). What is the common denominator of -2 + (-1122)\/(-26)*l\/72 and 0?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 6) to base 2.\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 + 5.6. Let z = j - 2.5. Let g be 5\/(-2)*2\/10. Which is the biggest value? (a) g (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + q - 2 = 0, -3*q = 3*x - x - 16. Let n(b) = -4*b + 2. Let g(w) = 6*w - 5. Let p(l) = -17*l + 14. Let s(f) = -8*g(f) - 3*p(f). Give x*n(h) + 3*s(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, z: 1, u: 1, j: 1}. Give prob of picking 1 z and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*sqrt(3900)*-2 - sqrt(3900))\/(-5*-1*sqrt(432)).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*n + 612 = -246*n + 101*n. Which is the nearest to 0? (a) 2\/3 (b) -39 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u + 4*d - 20 = 0, -10 = 5*u - 2*d. Is -3*(u + 1) - -254 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd (base 14) in base 6?\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 82 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 178*g - 739*g**3 + 738*g**3 + 1 - 3 - 4*g**4 + 3*g**4 to o*g + w*g**4 + q + x*g**2 + h*g**3 and give o.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 112?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/4 - 7*h**4\/2 + 15*h**3\/4.\nAnswer: -h**3*(h - 1)*(h + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33051222.\nAnswer: 2, 3, 19, 241, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-152)\/(-36) - 4\/18. Suppose 0 = -u*b - 0*b - 16, -2*x + 40 = 4*b. Let z(q) = 3*q + 2. Let j be z(4). Calculate the greatest common divisor of j and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2001055 is divided by 285840.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 206720 - 1205360. Suppose -a = 4*p + 579980, a + s = -2*p - 297574. Round a to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105482, 422372, 950530, 1689962, 2640674, 3802672, 5175962?\nAnswer: 6760550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 + 0.09. Let v = -1.88 + g. Which is the biggest value? (a) -5 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18300 - 36720. Let d = s - -18288.99. Let v = 131 + d. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29, -58, -1, 4 in decreasing order.\nAnswer: 5, 4, -1, -29, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/2 - 3*x**3 - 3*x**2 + 7*x - 79. Let q be u(5). Solve 4*l + 7 = 4*g + 5*l, -4 = 2*g - q*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7893615 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.7441.\nAnswer: 0.29764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - -76557?\nAnswer: 76573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8116103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 57. Let h(j) = -6*j + 55. What is -4*h(y) - 3*u(y)?\nAnswer: 3*y - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224546, -1225393, -1226240, -1227087, -1227934, -1228781?\nAnswer: -1229628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97961 - 28590. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 12. Let l be t(10). Sort 1, -1, l in decreasing order.\nAnswer: 1, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:47 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*d - 9 + 9 - 55*d + 106*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/19 + 234*w**2\/19 + 9126*w\/19 + 118638\/19 = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:48 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212 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: Solve -1571*z - 49360 = -35278 + 55042 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -4879641\nAnswer: 9759282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6435 - 225?\nAnswer: 6210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -932 or -1007?\nAnswer: -1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*p - 85*p - 4*v - 32, -5*v - 50 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsttwwtvftvvvtv. Give prob of picking 1 t and 2 w.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33643 (base 7) to base 11\nAnswer: 647a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7738*r**3 + 46424*r**2 + 24*r.\nAnswer: -2*r*(r - 6)*(3869*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0\/((q*q**(-2\/19)\/q)\/q)*(q\/(q**(-4)\/q))\/q**(11\/2) assuming q is positive.\nAnswer: q**(61\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9 + 5083\/(-2262) - 1\/(-6). Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00159637806 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.89 and 4.\nAnswer: 67.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c. Let r be k(-1). Let h = 2828 + -2827. What is the greatest common factor of r and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159 (base 11) to base 6\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1613, 12729, 42807, 101327, 197769, 341613, 542339, 809427?\nAnswer: 1152357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 6*k + 3. Let z(n) = -2*n**3 - n**3 - 5 + 11*n + 7*n**3. Let o(q) = 5*p(q) + 3*z(q). Find the second derivative of o(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76945.9728 - -3?\nAnswer: -76942.9728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81573306 and 346?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(1\/3)*(n\/(((n*n*n\/(n**4\/n))\/n)\/n))\/n)\/(n**(-2\/3))**15 assuming n is positive.\nAnswer: n**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 63*j + 754 = 320*j. Find c such that -8\/11*c**3 + 26\/11*c**4 - 6\/11*c**5 + 0*c**j + 0 + 0*c = 0.\nAnswer: 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, 14.4, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 16340 = -18980. Suppose o + 868 = 16*h. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 9*m**2 - 10*m - 6. List the prime factors of n(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4, 0.0869, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose -6*q + q - 1 = a, -2*a - 2 = -b*q. Solve -12 = -3*s, s - 9 = j - q*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 14 = -2*g, 40 = -5*m - 5*g. Let t be (-29)\/m + (-8)\/12. What is the common denominator of 222\/28 - 18\/t and 55\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194 - 819 = -168*y - 669 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2224020 (base 6) to base 5.\nAnswer: 12043312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -6*w**5 + 796*w**4 - 2256*w**3 - 10420*w**2 + 39894*w - 28008 = 0.\nAnswer: -4, 1, 3, 389\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccmmcccmmcccmcmmc. Give prob of picking 3 m.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.002, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1124 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*6\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469380869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -877, -1780, -2677, -3568, -4453, -5332?\n\"Answer: 3*t**2 - 912*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - 2*q**2 - 3*q**2. Let t(r) = -2*r. Give t(y(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) 0.04 (c) -400\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, and 1 q when three letters picked without replacement from qoaa?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 756700 to the nearest 10000.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.08 (c) 2\/7 (d) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 5. Suppose 25*z - 28*z - 3 = 0. Let q(i) = 6*i - 31. Let f(j) = z*q(j) - 4*t(j). Let o(l) = -l + 5. Calculate -6*f(g) + 13*o(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120753 divided by 3.\nAnswer: 40251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 10 = -2*j, -4*j = -2*s + 5 - 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 167*g + 17. Give p(-45).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (270320\/31 - 32) + (9 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24300888\/(-18)*(-622)\/840. Let r = c - 999678. Let f = -11\/45 + r. Find the common denominator of f and 4\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2. Let k(t) = 178039*t. What is k(m(x))?\nAnswer: -356078*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxi when three letters picked without replacement from {x: 1, v: 1, g: 1, i: 1, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l + 450. What is the tens digit of u(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1436903 and -1.39602?\nAnswer: 1436901.60398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -35022364 not equal to -210134189\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 67. Suppose -3*x - x = 4*i + 24, x - 3 = 2*i. Let h be 34*x\/(3 + -9). What is the highest common divisor of h and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(77) + -5*sqrt(77)*-1 + sqrt(77))\/(-4*sqrt(22)\/sqrt(2)) + ((sqrt(2688) - (sqrt(2688)*-1 - sqrt(2688))) + sqrt(2688))\/(4*sqrt(6)*-3 - sqrt(6)).\nAnswer: -219*sqrt(7)\/52 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.65 < -24\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-88)\/15 + (-20)\/150 + 2. Let y be 16\/(-96) - 34\/12. Which is the second smallest value? (a) 0.2 (b) y (c) -18 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1 + 3*o**3 + o**3 + 0 - 3*o**3. Let f be (-27)\/15 + (-8)\/(-10). Let k be j(f). Round k to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 + m**2)*(1 - 1 - 4*m**2) + 11*m**4 + 5*m**4 + 7*m**4)*(2*m - 2*m - 3*m)*(3 - 2 - 25).\nAnswer: 1368*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -67, -150, -279, -460, -699, -1002?\n\"Answer: -v**3 - 14*v**2 + 6*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 59 - 981. Let n = k - 265. Suppose -4*p = m - 4*m + 147, n = 4*m - 3*p. What is the greatest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -12, -19?\n\"Answer: -7*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 663, 2074, 4265, 7230, 10963, 15458?\nAnswer: 20709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26294259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**2*h**3*z + 153349*b**2*h*z - 2*b*h**3*z + 14223190*h**3*z wrt b.\nAnswer: 18*h**3*z + 306698*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2. Let d(i) = 5*i**2 - 6*i**2 + i - i. Let s(g) = 16*g**2. Let z = -14 + 8. Let t(r) = z*d(r) + s(r). Determine t(x(q)).\nAnswer: 88*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {i: 2, j: 2, v: 2, b: 3, a: 3, e: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 6*m - 4*m + 3 = 50, -4*m - 2 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**3 - 12*v**2 - 9. Let k(g) = 3*g**3 - 6*g**2 - 4. Let b be 8*-1*14\/(-28). Let u(w) = b*r(w) - 9*k(w). What is the third derivative of u(h) wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.81458 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/11 + -5\/11. Let g = -2286.7 + 2287. Which is the nearest to 1? (a) z (b) 1\/7 (c) g (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278*i + 14551 - 14551 + (-i - 3*i + 5*i)*(-1 - 2 + 5) + 0*i - 3*i + 2*i to the form p + v*i and give v.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 30*n + 6 = -29*n, -n = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/20? (a) -3 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -k + 1 + 10, -k + 2 = 0. Suppose -5*x = -j*s + 3265, s - 1091 = -x + 2*x. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from bkaaaallakxaaack.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*v = 64*v + 32. Let x = -9 - -10.1. Let s = -0.7 + x. Put -0.4, s, -2, v in decreasing order.\nAnswer: v, s, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, a: 3, l: 2, e: 2, q: 2, w: 2}. What is prob of sequence ew?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9335 rounded to two dps?\nAnswer: -1.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 5935.\nAnswer: 53415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1 + (-5)\/(10\/(-3))). Suppose q - 419 - 1383 = -5*h, 3*h + o*q = 1071. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 8*w + 10. Let o be r(7). Suppose 2*m + 2*m - 15 = -j, -o*j = -m - 97. Suppose 11*d - j + 9 = 0. Solve 2*a = d*z - 6, 5 + 1 = 3*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 32*j**2 - 67*j + 13. Let n be b(35). Let o = -1128 + n. Let g = 36 - -19. Calculate the remainder when o is divided by g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - v = -4*v + 17, 4 = -2*a + 4*v. Suppose -a*w - 4 = 0, t + 815 = 4*t - 5*w. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3393377, -3393440, -3393507, -3393578, -3393653, -3393732, -3393815?\n\"Answer: -2*u**2 - 57*u - 3393318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -922*u - 7. Let b(o) = -459*o - 3. Calculate 7*b(t) - 3*x(t).\nAnswer: -447*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 2. Let s be c(5). Let l(b) = b**3 + 7*b**2 + b + 9. Let y be l(s). Solve -y*u + 4 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 4189362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6924 + -3704. Suppose -23*h + u = -7981. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose -9 = -5*j + 3*d + 43, -a*j + 2*d + 20 = 0. Suppose -22 = z - 3*y - 9, 2*z + j = 3*y. Solve -5*h + m = -0*h - 4, -z*m + 1 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 35*a + 33*a = 110*a - 333 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -8*d + 196. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10223055.3 to the nearest 1000.\nAnswer: -10223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.25135 and 2089162056.\nAnswer: 2089162056.25135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1087226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 1.1. What is the closest to b in -0.3, 2, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2482649416, 2482649417, 2482649418?\nAnswer: 2482649419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299669871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 2*k - 1 + k)*(2*k + 2 - 2 + (-3 + 4 - 2)*(-1 + 1 - 2*k) + 4*k + 3*k - 5*k) to the form n + c*k + h*k**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2047 = -389*y + 3050 - 1302 + 484 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 + 2\/4)*(-80 + (-1124248)\/(-14062))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 - 3*t - 398. Let l(o) = o**2 + o + 98. What is -2*c(d) - 9*l(d)?\nAnswer: -d**2 - 3*d - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -48, -2, 2, 336 in increasing order.\nAnswer: -48, -2, 2, 5, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 + b**2 + 6*b**2)*(8*b - 22*b + 3*b) to the form t*b**2 + f + u*b + g*b**3 and give g.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6117.411 grams to nanograms.\nAnswer: 6117411000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 + -3. Let t = s + 0. Let y = 168 + -166. Which is the closest to -0.1? (a) 5 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = p + 21, -2*p - d - 1 = -4. Suppose -5*y = -3*u - 4*y + 237, -2*u + p*y = -158. Solve -2*b = 69 - u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 17 - 3. Let m(v) = -6*v + 5. Let z(w) = -12*w + 11. Let x(p) = -5*m(p) + 2*z(p). Is 7 a factor of x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 + -83246?\nAnswer: -83322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -1188*o**7\/7 + o**3 + 270*o - 2028. Find the third derivative of q(y) wrt y.\nAnswer: -142560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 4, 1, 56 in decreasing order.\nAnswer: 56, 4, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 2*t**3 + t - 134512*t**2 + 134509*t**2 to the form d*t**2 + w*t**3 + j + c*t and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1445 - 50. Suppose h - 1815 = v, 4*h = v + 8664 - r. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1767*s + 1390638. What is p(-787)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/1 + (-14534)\/(-2899). Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**2 + 12*h - 4. Let a be -18*(-4)\/8 + -4. Let y(m) = -9*m**2 - 13*m + 5. Let t(g) = a*u(g) + 4*y(g). Determine f, given that t(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93186 or 93052?\nAnswer: 93186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2. Let t(m) be the second derivative of -2*m**3\/3 - 21*m**2 - 189*m - 1. Give y(t(c)).\nAnswer: 48*c**2 + 1008*c + 5292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n + 14. Let h = -3 - n. What is the lowest common multiple of h and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111100011001 (base 2) to base 10\nAnswer: 3865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155665 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a - 103*a = -98*a - 3476 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231*l**3 + 3*l**2 - 19?\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*l**6 - 26*l**2?\nAnswer: 11640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.4 (b) 3\/5 (c) 1\/18 (d) 2 (e) -2.4963\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z - 8419 + 0*z - 3631.\nAnswer: -2*z - 12050","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wew when three letters picked without replacement from {e: 1, w: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 20532.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 78. Let j = -40 - -84. What is the second derivative of u**2 - r*u + 7*u**2 + j*u wrt u?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 3) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3662b (base 15) to base 7.\nAnswer: -1321610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2) + 121 + -109.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:27 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-3)\/2)\/(9\/12). Suppose -n*v - 34 + 14 = -4*f, 0 = 4*v - 16. Suppose 0 = -f*x - 51 + 156. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -588528.98 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 + 48. Let g = n + 80. Suppose g = 5*d + 4*k - 6, 2*k - 9 = -3*d. Solve 0*a + d = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 - 1275*u**3 - 32520*u**2 - 265280*u - 714240 = 0?\nAnswer: -8, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301*v**2 - 8*v**3 + 3 + 602*v**2 - 299*v**2 + v to l*v + c + d*v**3 + u*v**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 25315049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*l + 25084 = 32181 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 r when four letters picked without replacement from nnnnncrnrcnnn.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-3\/4)*x)\/x)\/x**5)\/(x**(1\/11)*x*(x\/(x*x**(1\/4)*x))\/x))\/(x**(-2\/5)*x**6)**21 assuming x is positive.\nAnswer: x**(-13441\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01046 in -3\/7, -2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:36 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:12 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 411.9864mm?\nAnswer: 41.19864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 2 h when four letters picked without replacement from hphpshhs.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/42*9)\/((5 - 4)\/((-6)\/30))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 715558*l**5 - 2*l**2 + 270660.\nAnswer: 42933480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630990?\nAnswer: 2, 5, 307, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2007632 divided by -22.\nAnswer: 91256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b. Suppose -f + 3*i = -0*i - 7, -2*f + i + 24 = b. Let x be 26\/3*9\/2. Calculate the greatest common divisor of x and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 3*x + 3. Let b(i) = -i**2 - 4*i - 5. Let n be b(-3). Let k be a(n). Let s = k - 21. Let h(y) = -y - 5. Give h(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, v: 1, e: 3, p: 1}. What is prob of sequence vp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -25*a - 175. Is (13466\/a)\/(28\/(-70)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, -5317, -2, 2, 212, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4813 or 62566\/13?\nAnswer: 4813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -9. Let h = 6 + o. Suppose r = -2*g + 148, 5*r - 100 + 8 = -g. Calculate the greatest common factor of g and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.1. Let z = 2 + l. Let n = -5800 + 5801. Which is the nearest to n? (a) z (b) -0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -k, -2*d = 3*d - 2*k - 18. Let i(z) be the second derivative of z**3\/6 + 2*z**2 - 6*z - 260. Give i(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*t = 10, -m + 5*m + 4 = -4*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 214?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 - 20*t**2 - 380*t + 800 = 0. Calculate t.\nAnswer: -8, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -318, -2723, -9320, -22209, -43490, -75263?\n\"Answer: -350*n**3 + 4*n**2 + 33*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - j - 12 = -5*j, -3*j = -12. Suppose 0 = -3*l - m*l + 145. Let i = 25 - l. Let v(z) = -z. Let r(n) = -n**2 + 6*n - 2. What is i*v(q) - r(q)?\nAnswer: q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 185 and 29785.\nAnswer: 29785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1241 (base 6) to base 5.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2318 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/7 (b) 3 (c) 4\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11313915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -10 + 2\/23*o**2 + 0*o - 2\/69*o**3. Find t such that w(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5556557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 928 = -293*a - 148*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*r = r, 0 = 2*u + r - 2. Suppose -6 = -u*m - 2. Factor 23 + 18 + 2*t**m - 9 - 16*t.\nAnswer: 2*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -97*a - 48*a**3 - 4*a**4 + 30 + 0*a**5 + 6*a**4 + 110*a**2 - 2*a**5 + 2*a**4 + 3*a**5 = 0?\nAnswer: -10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6145?\nAnswer: 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 97\/65?\nAnswer: 97\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001100 + 11?\nAnswer: -1010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118887168?\nAnswer: 2, 3, 283, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*k - 525 + 147 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17545 - -17541.4. Which is the nearest to 2\/5? (a) 5 (b) -12 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 40*z**2 + 39*z - 1. Let g be d(-4). Calculate the highest common factor of 14 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10799942*7.\nAnswer: -75599594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-95)\/(2660\/168)*4\/(-2). Sort -5\/2, 1\/5, i, -0.02 in increasing order.\nAnswer: -5\/2, -0.02, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/43, 4, 1?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*(-60)\/20*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 9427 - 9426 + 2*w**4 - 6*w**2 + 6*w**3 + 0*w**3 as f + s*w**2 + u*w**3 + a*w**4 + y*w and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2274266*z**3 + z + 2 - 2274423*z**3.\nAnswer: -157*z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 836781.7 micrograms in kilograms?\nAnswer: 0.0008367817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - o = v + 27, -5*o + 57 = 2*v. Suppose 30 = v*r - 11*r. Suppose 3*z + s - 109 = 0, 5*s + r = z - 9. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932629.4ng to kilograms.\nAnswer: 0.0000009326294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8 = 15133*n - 15135*n, 4*z + 24 = 2*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1602 + 400 = -13*v. Let j = v - -202. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157 + 276. What is the highest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 2:41 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgwwwgwwwgwwwwgwwgww. Give prob of sequence ggg.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7340 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a week in hours?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*5*(sqrt(76) + sqrt(76)*1 + 3)*6)**2*-1*-6.\nAnswer: -40564800 - 3110400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {v: 3, r: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 240010859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 8. Suppose -5*w - 6 = -3*u, -4*u + 2*u = -4. Give z(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c. Suppose -1 + c = -b, -n = 4*b. Let t be (n - 1)*432\/(-20). What is the highest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -140, 18\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/24*(-2 + 4) - -2. What is the nearest to -0.4 in -4, -0.2, z, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -17. What is the derivative of 46*t**2 + 7*t - b*t + 259 + 0*t + 0*t wrt t?\nAnswer: 92*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9+-3196.72\nAnswer: -3187.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*c + 2322 - 5599 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 20 = -5*k. Let t(y) be the third derivative of -y**4\/12 + 5*y**3\/3 + 19*y**2 + 6. What is the tens digit of t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.89121766 - 0.3.\nAnswer: -1.19121766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136125.5679us to weeks.\nAnswer: 0.00000022507534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 520 - 11962\/23. Is 0 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*i*m**2 - 989*b*i + 28*b*m**2 + 200*b*m - 2*i**2*m**2 + 4*m wrt i.\nAnswer: -b*m**2 - 989*b - 4*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**6 - 1914 + 1914 - 28*v**2 wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4655711 (base 10) in base 8?\nAnswer: -21605137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*p + 2 + 0 to the form l + r*p and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3171*h - 9512*h + 3169*h - 2*h**2 + h**3 - 1842 + 3174*h as g*h + x*h**2 + j*h**3 + d and give d.\nAnswer: -1842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*j = 3*j - 69, -36 = 3*x - 3*j for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/((-30)\/((-19380)\/(-17)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/84 - -5)*3 + -11.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 1. Suppose 2*f - 60 = -3*i + 6, -52 = -2*f + 4*i. Suppose 0 = -a + f*a - 87. What is r(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:13 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y\/(y\/(y**(-4)\/y)*y))\/y*y*y**(-2\/9)*y*y*y**(-1\/5)*y*y**(1\/4)*y*(y\/(y*y**(2\/3)*y))**(14\/9)*(y\/(y*y**0*y)*y)**(5\/4) assuming y is positive.\nAnswer: y**(-2033\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2659.3857285528 from 26.\nAnswer: -2633.3857285528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*s**3 + 17*s**3 + 86*s**3)*(3 - 7 + 0)*(0 - 1 + 0).\nAnswer: 512*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 112*d - 564. Calculate g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 96?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -338, -389, -460, -551, -662?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-22)\/z*z)\/z)\/z*z*z*z**10\/z)\/(z**5\/z**(20\/3)))**45 assuming z is positive.\nAnswer: z**(-510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32743 divided by 137?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, 65, 167, 311?\n\"Answer: 21*z**2 - 3*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:37 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*7818 + -3. Suppose -a = 3*r - v, -r + 4*r + 11694 = 3*a. Round a to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 35*i**2 - 3947*i + 7897. What is d(2)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 938460?\nAnswer: 938460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j**5 + 5*j**4 - 5*j. Let m(t) = 4*t**5 - 3*t**4 + 2*t. Let y(l) = 5*m(l) + 3*n(l). What is the second derivative of y(w) wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3651?\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 12, -9\/13, 20\/3, -6?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-20)*3*(-4)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/29821920 and 59\/200.\nAnswer: 149109600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 123, 261, 435, 657, 939?\n\"Answer: 2*r**3 + 100*r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9935442 by -3311814.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87672, 350618, 788882, 1402470, 2191388, 3155642?\n\"Answer: l**3 + 87653*l**2 - 20*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6470, 6520, 6570, 6620, 6670?\n\"Answer: 50*s + 6420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from lqqqqtlnj.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/18*20349\/(-323)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 h when four letters picked without replacement from {h: 1, t: 2, e: 4, n: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*1*33\/11. Is g less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*d + 2*d - 258 = 0, 5*d = -2*i + 261. Suppose 33*s + i = 41*s. Calculate the greatest common divisor of 256 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 79183177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 2. Let n be k(-4). Suppose -2*o = -4*h + 3*h + n, h = -5*o - 18. Suppose h*l - 184 = -2*l. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129023\/585 + 2890\/13. Find the common denominator of j and 31\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**40)\/(u**(-8\/9)*u))**28 assuming u is positive.\nAnswer: u**(10304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250 (base 7) in base 5?\nAnswer: -3401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 4*a**2 - 13*a + 15. Let k be s(6). Let o(y) = y - 1. Let r be o(k). Let b be (-2)\/5 - r\/15*-2. What is the nearest to -4 in 1, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1536*i - 10794. Give t(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and -4 + 1 + 5 + 7?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(121)*2 + sqrt(121)) + (sqrt(121)*1*5 - sqrt(121)))\/(sqrt(704) + (sqrt(704)*2 - sqrt(704))*2).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 14\/4)\/((-33)\/(-726))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.29 + -42. Let c = -3.29 + q. What is the nearest to 0.2 in -4\/5, 3\/4, c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3 - 19*t - t**2 + 7 + 19*t. Let v be g(0). Suppose -2*a + v + 62 = 0. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 4*j - 13 - 10, 5*i - 2*j - 5 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010631323 rounded to seven dps?\nAnswer: 0.0001063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97675.\nAnswer: 5, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*((2 - 2 - 2*x)*(10 - 2 + 3) - 2*x - 2*x + 2*x) - 4 + 4 - x.\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q - 33*q - 16*q.\nAnswer: -118*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60085, -119427, -178769, -238111, -297453?\n\"Answer: -59342*n - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -34. Suppose l = 3*b - 8*b + 28, -3*b = -3*l - 6. What is the highest common factor of b and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f**2 - 4*f**2 + f**2)*(-f + 3*f - 4*f + (1 - 4 + 4)*(2*f - 3*f + 2*f)) to a*f**3 + k*f + y*f**2 + p and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d - 5*d)*(-16*d - 56*d**2 + 59*d**2 + d**3 - 2*d**3).\nAnswer: 7*d**4 - 21*d**3 + 112*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-238*1)\/(4\/(-18)). Suppose -o - 3*t = 6, -227*o - 2 = -223*o + t. Suppose 2*j - x + 113 = o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-1)\/26))\/((-14)\/((-56)\/(-8)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 631 - 639. Sort -2, q, -3 in increasing order.\nAnswer: q, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 272*u**6\/15 + 1839*u**2\/2 - 1912*u. Differentiate v(p) with respect to p.\nAnswer: 2176*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4\/5 (c) -13\/5 (d) -2\/3 (e) -0.3 (f) 43\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 8. Calculate the greatest common divisor of 42 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 172 from 0.0089.\nAnswer: -171.9911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 - 3*x + 6. Let t(v) = 8*v**2 - 7*v + 14. Let i(n) = -14*k(n) + 6*t(n). Let l(g) be the second derivative of g**4\/6 + 13*g. Calculate i(l(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.5 and 0.3225?\nAnswer: 1.77375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -5\/4*w**4 + 0*w**2 + 16 + 0*w - 5\/3*w**3. Find the third derivative of r(f) wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167515?\nAnswer: 5, 33503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4137\/10 != -414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3900.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-3 - (-8 - 544\/(-56)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 + -5. What are the prime factors of d?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -8*s - 3. Let w(x) = -2*x + 1. Let o be w(-3). Let f = 2 - o. Put 2, f, s in decreasing order.\nAnswer: 2, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -112*n. Suppose 2*y + 5 - 1 = o, -3*o + 4*y + 12 = 0. Suppose 567 = o*m + 5*m. Let j(s) = 7*s. What is m*j(z) + 4*x(z)?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 56*u + 28. Let a(s) = 11*s + 6. Let z(k) = 14*a(k) - 3*j(k). Let r(f) = 4*f. Give r(z(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4\/12 - n**2 - 80*n. Let x(k) = -8*k**2 - 20. Let b(q) = -x(q) + 10*y(q). Let i(r) = -2*r**2 + 16. Calculate i(b(w)).\nAnswer: -8*w**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-6)*-4*(2988196\/8 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(5 + -1*sqrt(612) + sqrt(612))*-6 - (-1 + (-5 + 1*sqrt(612) - 5*(sqrt(612) + -1)))) + -4)**2.\nAnswer: 8496*sqrt(17) + 41121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 416a?\nAnswer: 4172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1 - 4*f**3 - 3*f**2 + f**2 + 8*f - 3*f. Suppose 0 = -l - 2*s, -s + 10 = -0*l - 2*l. Is t(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5211359833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -2573\nAnswer: -10292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(111\/18 + -6). Let n(u) = 14*u - 36. Is n(k) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*z + 15, -u + 18 = 3*u + 2*z. Put u, -3, -1 in increasing order.\nAnswer: -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = -4*m, 0 = -t - 3*m - 34 + 40. Let n(l) = -l**2 + 8*l + 28. Calculate n(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -726683309, -726683304, -726683297, -726683288, -726683277?\nAnswer: -726683264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**8\/140 - 7*i**4\/12 + i**3 + 10. Let w(h) be the third derivative of k(h). Find the first derivative of w(r) wrt r.\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/2, -2\/3, 6\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a + 5*a - 829012*a**2 + 829011*a**2 - 2*a**3. Let r(v) = v**2 - v + 1. Let u(x) = x**3 + 3*x**2 - x - 2. Let b be u(-3). Calculate b*r(q) + h(q).\nAnswer: -2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 9012.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 16 = -2*h. Let y be (h\/10)\/(2 + -3). What is the nearest to -1\/4 in y, -1, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 97\/4 (b) 0.5 (c) -35\/4 (d) 2\/7 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1924 and 623857.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 4. Let o be ((-165)\/(-99))\/((-5)\/m). Suppose -4*k + 9336 = o*j, 4662 = 2*k - 2*j - 0*j. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47289 and 113691?\nAnswer: 1792111233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(1600\/24)*(-6 + (6 - -2))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 14*v + 2. Let i be a(-14). Suppose -2*f + 10 = -i. Calculate the remainder when 21 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*o**3 + 87*o**3 + 129*o**3 - 308*o**3 - 25*o**2.\nAnswer: -2*o**3 - 25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2.1768 (b) 4 (c) 5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w + 66 = -55*w. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 2*t + 5. Let c(k) = k**2 - 2*k - 4. Suppose -4*s + 4 = 24. Let b(h) = s*c(h) - 4*d(h). Find the second derivative of b(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2340 + -2244. What is the lowest common multiple of 416 and t?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55610 + 175150 = 3205*h for h.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3449225 to 3 dps.\nAnswer: 0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 + 7. Suppose 0 = -2*f + 5*m + 11, f = -m + 10 - 1. Suppose -5*o + f*o - 30 = 0. Calculate the smallest common multiple of z(6) and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - -0.52. Let d = 2 + 2. Which is the biggest value? (a) d (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 11. Let v be (q\/9)\/((-2)\/(-432)). What is the greatest common factor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 81 - 188 + 48 + 27*b**3.\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 987798, 1975588, 2963376, 3951162, 4938946, 5926728, 6914508?\nAnswer: 7902286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60\/7*x + 450\/7 + 2\/7*x**2.\nAnswer: 2*(x - 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, 19, -5.\nAnswer: -5, 0, 19, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 128*f**5\/3 - 1376*f**4\/9 + 838*f**3\/9 + 292*f**2\/3 - 248*f\/9 + 16\/9 = 0.\nAnswer: -2\/3, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*g + 6 = -10, y = -5*g + 27. Solve m + d - 7 = -m, -3*m + d = y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 8550*h - 25605.\nAnswer: -5*(h + 3)*(h + 1707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(30\/(-25))\/(15\/400*8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*m = -155 - 117. Put 2, -5, 106, m in increasing order.\nAnswer: -5, 2, m, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11616 and 18458.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f + 17 - 1. Let a(l) = -2*l**2 + 5*l + 6. Let h(i) = i - 1. Let y(o) = f*a(o) - 6*h(o). Let z(c) = -c. Determine z(y(t)).\nAnswer: -2*t**2 + 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01057137676 to six decimal places.\nAnswer: -0.010571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 207021539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(120)\/(-2*sqrt(10)) + -1)*3.\nAnswer: -3*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-2\/3)\/h*h)**(1\/55))**17)**(-3\/5))**(1\/2) assuming h is positive.\nAnswer: h**(17\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184084009 to the nearest integer?\nAnswer: 13568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-5\/2)*c*c)\/c*(((c*c*c*c**(-1\/13))\/c)\/c)\/c assuming c is positive.\nAnswer: c**(-15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {m: 1, y: 11, u: 3, x: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-4)\/5)\/2)\/((-2202)\/(-1835)))\/((-140)\/(-7))?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1100) + sqrt(1100)*-2))**2 + 3 + 5 + ((2 + sqrt(1100) + -3)**2 - ((sqrt(1100)*-3)**2*3 - sqrt(1100))) + 3.\nAnswer: -24188 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + 70 - 24) + -61 + 62\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21.20526l?\nAnswer: 21205.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 23546 = 4*o, -39248 = 5*t + 3*o - o. What is t rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 111347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*j = 222572, -9*a + 7*a = -2*j - 222614. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32494.2459 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11688083255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6296*v + v**3 - 3197*v - 3099*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12929 < 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1720 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456.446l to millilitres.\nAnswer: 456446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331510928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69434, -138875, -208292, -277673, -347006, -416279, -485480, -554597?\n\"Answer: 2*z**3 - 69455*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -59. Let d = 6 - 3. Suppose -17 = -d*j + 4. Solve 2*m + x = -l, 2*m = x - j + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from zzzqqz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*y - 17 + 3 = 0, -20 = -4*x + 4*y. Let u be x + 1 - (12 + -13). Suppose 0 = -i + 39 + 5. Calculate the highest common factor of i and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 14, v: 1}. Give prob of sequence hhv.\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-31275)\/10)\/(-9). Let m = -2384\/7 - c. Find the common denominator of (-274)\/100 + (-2)\/(-2) and m.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x = 3*o + 5, 2*x - 4*o + 2 = 0. Suppose -3*z - 66*t - 280 = -61*t, 2*t = 4*z + 382. What is the tens digit of ((-5)\/(-2))\/x*1558\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 48259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (22 + 35 - 85)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 9) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**4 + 26 + 35*n**3 + 115*n**2 + 19 - 1024*n + 1139*n. Let f(s) = -s**3 + s**2 - s. Let v(b) = 5*f(b) - q(b). Suppose v(k) = 0. What is k?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*y - 5*c = -409*y - 22, 0 = 2*y + c - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -115*g + 28. Let b(a) = 115*a - 27. Let z(y) = 4*b(y) + 5*q(y). List the prime factors of z(-13).\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from inttjla?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g + 515. Let s = g + 289. Let n = -132 - s. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o**1*o*o)))\/o**(-2\/23)*o**(3\/8)\/((o*o\/(o\/(o*o**(-7)*o)))\/o))**(-44) assuming o is positive.\nAnswer: o**(-19151\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257429738 to the nearest integer?\nAnswer: 35460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(192))**2.\nAnswer: -16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722 = 3*v + 4*h, 3*v + 0*h = -h - 734. Let m = 17915\/12 - 1492. Find the common denominator of m and v\/32*(-8)\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.54 + -26.54. Let t = -11 + -9. Let n = t - o. What is the biggest value in -1, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2695 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -30, -64, -112?\n\"Answer: -7*p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(13*k**2 - 13*k**2 - 2*k**3)*(-k + k + k**2).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 496.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (((2 - 1) + 5 - 16) + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194208*a**5 - 3332068*a**4 - 2903208*a**3 - 769968*a**2 - 59616*a = 0 for a.\nAnswer: -6\/17, -23\/168, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*x - 87*x + 4. Suppose 0 = -2*j - 4*a + 15 + 27, -18 = -2*j + x*a. Suppose 0 = j*h - 17*h + 480. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839 is divided by 343.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/103)\/(17\/(-2295)*-180)*2\/(-12).\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -397*q**2 - 591 wrt q.\nAnswer: -794*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k - 8. Let m(z) = -z + 1. Let i(u) = 2*d(u) + 18*m(u). Give i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205 is divided by 824?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/132 and -51\/68648.\nAnswer: 2265384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374 + 693. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from {f: 3, n: 3, v: 5, a: 1, m: 1, u: 1}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -510, -700, -1220, -2238, -3922?\nAnswer: -6440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 137 + 219*v - 74 in the form c + s*v and give s.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 33. Suppose j*i + 3*i - 364 = -4*n, -n + 106 = -3*i. Suppose 8 = 3*y - n. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 - -355627?\nAnswer: 355666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b7 - -16?\nAnswer: 9cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 505820 and 5964.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 43) + 56 - 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2420, 4825, 7196, 9533, 11836, 14105, 16340?\nAnswer: 18541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-2)*(-1)\/((-56)\/(-49)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709*x - 140*x - 16926 = -37141 - 16292 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 8*o**2 + 7*o - 5. Let p = 19 + -11. List the prime factors of g(p).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -717 divided by 239\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1281*f - 2700. Give i(2).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wku when three letters picked without replacement from kkmtkkkmkkumwkwm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/940 and -101\/94?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f + 6. Let j be y(5). What is the least common multiple of (-1 + -2 + 4)*1 and ((-7)\/4)\/(-11 - j\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292382 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*14\/(-21). Let f = -2 - z. Let d be 2*f\/(12\/8). What is the third smallest value in -1, -6, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -2\/15 (b) 5\/7 (c) 4 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 29\/((-319)\/308))*(-26)\/5. What is the greatest common factor of u and 2904?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1145289 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2 + 5 - 5*m.\nAnswer: -5*m + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 34\/3*t**2 - 152\/3*t + 37 + 4\/9*t**3. Solve x(q) = 0 for q.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -16*z - 186. Let i be g(-11). Let f be (-10)\/3 - (-14 - i). Factor 4\/3*k + 2\/3 + f*k**2.\nAnswer: 2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 14526?\nAnswer: 29052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240 + 14 - 304)*(-12*v**2 - 30*v + 30*v).\nAnswer: 6360*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/460 and -9\/322.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42130 and 6490.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -209 + 187 + (94 - -2)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/5 + 922*t**3\/5 + 11758*t**2\/5 + 9886*t + 13440 = 0?\nAnswer: -448, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -26*j**2 + 7*j - 1. Let t(v) = v. What is -l(u) + 6*t(u)?\nAnswer: 26*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d - 2*d)*(4*d**3 + d**4 - 4*d**3).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 6*z)*((0*z + z - 3*z)*(0 + 1 + 1) + 2*z - 6*z + z) in the form x + m*z**2 + s*z and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*g**4*i**3 + 17600*g**4*i - g**2*i**3 + 2018*g**2*i + 2*g*i + 28*i**3 wrt g.\nAnswer: 4176*g*i**3 + 422400*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Let r(z) = z**3 - z - 1. Let o(i) = r(i) + 4*u(i). Suppose -5*n + 3*w + 3 + 7 = 0, -3*w + 10 = -n. What is the tens digit of o(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21.64 from -0.0436.\nAnswer: -21.6836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 1028*g\/3 - 132098\/3.\nAnswer: -2*(g + 257)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -46495 > -17039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576194 and 58596.\nAnswer: 3457164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 36*w**2 + 222*w - 184.\nAnswer: -2*(w - 4)*(w - 1)*(w + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -15, -0.5, -1, 3\/5 in decreasing order.\nAnswer: 3\/5, -0.5, -1, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 8:47 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2848\/5 + -10051\/35. Let x = 282 - t. Which is the fourth biggest value? (a) 0.4 (b) x (c) 1 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-28)*(-35)\/(-30). Let x = 33 + -11. Let d = x - 108\/5. Which is the third smallest value? (a) o (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.07 and 0.01031.\nAnswer: -0.0110317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428237 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 123 - (239 + -271)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/12)\/(54\/(-89424)*-12).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) -5 (c) 0.4 (d) -1\/6 (e) 1.513\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -15\/16, 4?\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004739 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3788.627 kilometers?\nAnswer: 3788627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460*j - 459*j = -11. Let d(m) = 7*m + 19. Let a(c) = 1. Let g(s) = -a(s) - d(s). List the prime factors of g(j).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20862063 is divided by 3082.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-22) - (-1707246)\/22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6 - 1 - ((-120 - -46) + 14 + 112).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.9*0.0122606.\nAnswer: -0.31754954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 61 + 21 = -5*h, 2*s = h + 6. Suppose 2*y - s - 1 = 0. Solve 22 - 7 = y*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 5*u + 4. Let q be y(4). Let o = -21 - -9. Let h be (8\/o)\/((-1)\/(-6)). Put q, h, 1 in ascending order.\nAnswer: h, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17925 divided by 3.\nAnswer: 5975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 44 + (-2 - (1 - -3)) - -28?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5399 and 0.317.\nAnswer: 1711.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 21*o - 43. Let u = -0.8 + 0.5. Which is the nearest to o? (a) u (b) 0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/((v\/(v*v**(1\/5)*v))\/v)*(v**(-1))**43)\/(v**6\/((v\/(v\/(v**(2\/5)\/v)))\/v)*(v*v\/((v\/(v\/((v**(-1)\/v)\/v)))\/v)*v)**(14\/11)) assuming v is positive.\nAnswer: v**(-3097\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*q + 25 = -121*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/4)\/z*z*z*z\/(z\/(z*z*z\/(z*z**(-5\/9))*z*z))*(z*z**(-3\/4))**(-28) assuming z is positive.\nAnswer: z**(-43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*m - 19*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16808080?\nAnswer: 2, 5, 210101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2640\/3520)\/((-6)\/28)*(-7)\/(147\/174).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, 158, 5.\nAnswer: -1, 0, 1, 5, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 916, 1288, 1660, 2032?\nAnswer: 2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/14)*(f*f**(-5))\/f*f**(-3)*f\/f**7*(f**1\/(f\/f**(-2)*f))**11 assuming f is positive.\nAnswer: f**(-659\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7415.3231 to the nearest ten.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -19*j**7\/21 + 5*j**3\/2 - 31*j - 2. Let n(s) be the first derivative of r(s). Find the second derivative of n(h) wrt h.\nAnswer: -760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-one fifths of a kilogram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g - 5*n - 17, -5*n - 25 = 0. Let l be (-104)\/(-39)*18\/(-8). Let f be ((-20)\/l)\/(8\/12). Solve -2*z = -s - 10, -2*s + f = g*z - 3*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 48 = 20*l - n, -4*n = 3*l - 48. Which is the smallest value? (a) 1 (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -58*y - 1. What is the units digit of w(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0) + 10\/(-2). Let y be 12\/9*(-24)\/(-8). Let n be 2 - x\/(10\/y). Solve -z = n*p - 23, -5*z + 6*p + 5 = 4*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 minus -303506.1?\nAnswer: 303919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 846 + 52*s**3 - s**2 + 24*s**3 - 929 wrt s?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (6 - (3 - (-7 + 6)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 3*o - 5. Let m be d(5). Let k(t) = -t - 4. Let z(l) = 10*l + 35. Let y(s) = m*k(s) + 4*z(s). Let v(n) = -n**2. Calculate v(y(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390\/((-36)\/(-6))*(-2)\/(-2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/80 and -97\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*p**5 - 19*p**3 + 1681*p**2 wrt p.\nAnswer: -1680*p**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, t: 3, h: 1, j: 1, c: 2, m: 1}. Give prob of sequence sjcs.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7468524 divided by -148.\nAnswer: -50463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 690158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.64878 and 4.\nAnswer: 34.59512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 4*b**2 + 128*b - 141. Let r(a) = -a**3 - a**2 - 8*a - 1. Let u(t) = -j(t) + r(t). Suppose u(d) = 0. What is d?\nAnswer: -10, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0235247435779 from 0.1.\nAnswer: 0.0764752564221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 0*x**4 - x**4)*(-4 + 3 - 6 + 2*x) + (3*x**2 + 3*x**3 - 3*x**2)*(-2*x**2 - 2*x**2 - x**2).\nAnswer: -21*x**5 + 21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13453, 26905, 40357, 53809, 67261, 80713?\n\"Answer: 13452*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1944362680 and 61.\nAnswer: -1944362619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142777407053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - sqrt(484)*-1)*-3)\/((sqrt(242)*2 - sqrt(242))*-5)*-2.\nAnswer: -72*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < 0.0136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (348*w - 16*w**4 - 348*w)*(3 - 1 + 1)*(5*w - w - 3*w).\nAnswer: -48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56427 divided by 1308?\nAnswer: 18809\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y + 1028 = 1522 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8503 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 424 = h, 0*u + 264 = 3*u + 3*h. Calculate the greatest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527605.\nAnswer: 5, 13, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (-1)\/3*-3. Suppose -g = g. Which is the closest to 0.1? (a) p (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/13)*r\/r**20 assuming r is positive.\nAnswer: r**(-248\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52a2 (base 12) to base 9\nAnswer: 13365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*3\/3*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-2 + 2) - 14\/7. What are the prime factors of u\/4 + (-6777)\/(-54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26818 and 759?\nAnswer: 80454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 + 0 = 0. Let q(h) = h + l*h**2 - h. Let b(c) = -c**2 - 139 - 853 + 992. Calculate b(q(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(23\/4)\/t*t)**16*(t\/(t*t\/t**(-23)))\/((t\/t**14)\/t) assuming t is positive.\nAnswer: t**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.009 + 0.009. Which is the closest to f? (a) 2\/7 (b) 4\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195585, -195525, -195453, -195375, -195297, -195225, -195165, -195123?\nAnswer: -195105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*u - 5*u, 10 = -5*u + 5*t. Sort u, 0, -29 in increasing order.\nAnswer: -29, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**5\/20 + 5*c**4\/12 - 4*c**3\/3 + c**2 + 22*c. Let k be j(-6). Find the first derivative of -9*r + 0 - k - 1 - 9*r wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/3)\/(5\/15). Suppose 11 = 2*d - 5*u + 66, 120 = -5*d - x*u. Let p = 75 + d. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4458 - 4446. What is the highest common factor of b and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -7. Suppose 3*m = 3*d - 12, 5*m - 2*d - 2*d + y = 0. Let v(h) = h**3 + 6*h**2 - 7*h + 8. What are the prime factors of v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*v - 19, -5*q + 2079 = -3*v. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -972, -1947, -2920, -3891, -4860?\n\"Answer: s**2 - 978*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = -101*x + 38*x + 258 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300 + -195. List the prime factors of h.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152874 is divided by 744?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + c = 2*c - 2260, -y + 2269 = 4*c. Let f = 142 + y. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.674 - 0.026. Let h = -1.7 - r. Let y = h + -3. What is the third biggest value in 2, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 100*j + 2. Let x(p) be the second derivative of -p**3\/3 + 3222*p. Give a(x(u)).\nAnswer: -200*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.5. Let q = 0.93758 - -0.06242. Put -1, 1\/5, o, q in descending order.\nAnswer: q, 1\/5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71\/12 - 383\/60. Which is the third biggest value? (a) -5 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/7 - 1893*y**4\/7 - 114688*y**3 + 90944796*y**2\/7 + 689281280*y\/7 - 247984128 = 0.\nAnswer: -992, -9, 2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217170?\nAnswer: 2, 5, 59, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 - 554*t**2\/5 - 154656*t\/5 - 1796256.\nAnswer: (t - 770)*(t + 108)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 175.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -45*y + 16 + 34 - y**2 + 17 - 76 + 18. Calculate g(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a - 12. Let c be (28\/(-42))\/((-36)\/48 - 19\/(-36)). Sort -2, a, c.\nAnswer: a, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 5. Put -2\/5, m, -5, 3 in descending order.\nAnswer: 3, -2\/5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 25*w. List the prime factors of c(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1718*q - q**2 + 9 + 0*q**2 + 0*q**2.\nAnswer: -q**2 + 1718*q + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 3, 1, 33, 2, -2 in ascending order.\nAnswer: -2, 1, 2, 3, 33, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2873.0040128 - -2873. What is j rounded to five dps?\nAnswer: -0.00401","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0*p**2 + p**2 - p + 2 + 1 - 7 + 5. Let q(h) = h**2 + 5*h - 9. Let s be q(-7). Let x = 3 - s. Calculate a(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 6:19 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-54)*(-7)\/28*2\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixxiximomtiii. Give prob of sequence imi.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1387 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let b(a) = 263*a**2 + 19*a - 1. Calculate b(m(g)).\nAnswer: 263*g**2 + 19*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 701120 and 1456?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49088 by 24544.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-7) - 1 - 174\/(-105). What is the biggest value in 3\/7, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*n - 917*f**3 + 168*f*n with respect to n.\nAnswer: 2*f**3 + 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 19*v**3 + 7742 - 7742.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**3 - 104*o**3 + 14870*o**2 + 14777*o**2 + 3 - 29647*o**2.\nAnswer: -81*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulon when four letters picked without replacement from lullolnlunl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 + 0.1575. Let o = -263.9475 + b. Let c = o - -264.00000123. What is c rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 22001102100112?\nAnswer: 22001102100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(110)*-4 + sqrt(110) - (sqrt(110) - (sqrt(110) + -2*sqrt(110) + sqrt(110))*-2 - sqrt(110)))\/((sqrt(160) - 1*(sqrt(160) + 2*sqrt(160)))*2).\nAnswer: 11*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 6 = -6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b + -3?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 425456 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + -6 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -455*g**2\/2 + 13222. Let n(z) = 6*z**2. What is n(d(s))?\nAnswer: 1242150*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -4. What is the greatest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 77473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 0 + 4*m**3 + 0.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1167.4395ms?\nAnswer: 0.00001351203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 17 = -2*a + 3*c, -5*c = 3*a - 22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1632 - 953. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 133, 1197, 4187, 10099, 19929?\n\"Answer: 166*l**3 - 33*l**2 + l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -83 and 1.362?\nAnswer: -113.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19573.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -237 + -4?\nAnswer: -23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, v: 4, z: 1}. What is prob of sequence vzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 + (-2 - -5). Suppose -11 = q - 5*z, -34*q + z - 4 = -32*q. Put 0.2, i, q, 2 in ascending order.\nAnswer: q, 0.2, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 10:36 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - 3*y**4 + 3*y**3)*(2*y - 2*y - 4*y) + (-3*y**5 + 3*y**5 - y**5)*(3 - 3 - 2).\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8006 - -7987. Which is the nearest to 2\/5? (a) -1\/3 (b) 5 (c) j (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 + 4249275*g**2 + 8498541*g + 4249269 = 0.\nAnswer: -1416423, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324520 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20 = -3*l. Suppose l*g = 3*g + 18. Suppose -2*f - g = -35. What is the remainder when 37 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7)*(4 - 35\/14). Which is the biggest value? (a) o (b) 1\/4 (c) 4 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27347*z - 27347*z + 60*z**2.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/1475022 and 127\/59608242.\nAnswer: 1013340114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((60\/18)\/10)\/((-2)\/2). Let a = -3 + 3.4. What is the second biggest value in a, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7018314 + 5.0018355. Let l = o - 3.3. What is l rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2.6, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 33 = 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/546 and 65\/6?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 3*a - a**4 + a**2 - 20 - 5\/3*a**3. Suppose x(v) = 0. Calculate v.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 51 - (-1 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 945414, 945419, 945424, 945429, 945434?\nAnswer: 945439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2195362 at least as big as -2195384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 74 - 82 - (2 + -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43843.81 - 43808. Round s to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 + 2336*l**2\/5 + 26592*l.\nAnswer: 2*l*(l + 60)*(l + 1108)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 235 - 2?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*m - 12, -3*m + 12 + 8 = -2*q. Let j = -4.7 - 0.3. Which is the third smallest value? (a) 1 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.272 + -5.272. Which is the third smallest value? (a) 4\/7 (b) 4 (c) 11 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3014*n**6 + 25*n**3 + 3201446*n**2 wrt n.\nAnswer: 361680*n**3 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2334, -861, 1584, 5001, 9390, 14751, 21084?\n\"Answer: 486*n**2 + 15*n - 2835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 7*r - 8. Suppose r*o = 2 + 4. Solve 6*u + 2 = -i + u, 5*u = o*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219.0509892311 - 219.051. Round m to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let k(x) = -x - 1. Let i(n) = n**2 - 2. Let r be i(3). Let d be 5 + 42\/28*(3 - 1). Suppose 0 = r*b - 11*b - d. What is b*k(s) - 2*v(s)?\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*i**2*s + 12*i**2 - 4*i*s - 3*i - s - 3121 wrt i?\nAnswer: 18*i*s + 24*i - 4*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -475 + 472. What is the closest to -1\/4 in a, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 30. Suppose -2*a + w*a - 8496 = 0. Suppose -3*v = -a + 867. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699251470?\nAnswer: 2, 5, 69925147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 11*c**2 - 37*c + 407. Let y be i(11). Let z = 72.92 - 0.92. What is the nearest to y in 5, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 3*n - 24*n - 2*n**2 - 37*n.\nAnswer: -n**2 - 64*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762*l = 114*l - 420*l + 190104. Suppose -5*q + 2*f = -f - 174, -3*q + 3*f = -102. What is the remainder when l is divided by q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 + (5 - 2 - 1)*(-1 + 2 - 2) + 1 - 2 - 1)*(293*c - 41860 + 41860).\nAnswer: -1465*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.26 - 0.74. Let n = -42.00111 - k. What is n rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025362 to 7 decimal places.\nAnswer: 0.0000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10*v - 90 = 0. Solve 0 = -5*h + v - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -13910.\nAnswer: -5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-28263286\nAnswer: -28263286.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/2*(-2)\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 0*c**2 + 0 + 1\/6*c**3 - 1\/120*c**5 + c + 1\/360*c**6 - 1\/6*c**4. Let n(b) be the second derivative of i(b). Determine n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172132901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nssssnnssn. Give prob of picking 1 n and 1 s.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1847, -3716, -5585, -7454?\nAnswer: -9323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-10)*(-180)\/110\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 772903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6164 = -115*h + 383*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21734.1 rounded to the nearest one hundred?\nAnswer: -21700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -178*z**3 + 75*z**2 - z + 4. Let a(u) = 358*u**3 - 150*u**2 + 2*u - 9. Let d(w) = 4*a(w) + 9*i(w). What is the third derivative of d(p) wrt p?\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31332 (base 7) in base 5?\nAnswer: 221331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:43 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*145\nAnswer: -275.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 5*i + 2*i, 4*i - 16 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -13437688?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.076 - 0.324. Let q(m) = m**3 + 7*m**2 - 1. Let f be q(-7). Which is the nearest to f? (a) 4 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0*m + 4*m - 2)*(-29*m - 3*m**3 + 29*m) - m**4 - m**4 - 3*m**4.\nAnswer: -17*m**4 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 17. Let r be o(3). Suppose -r*b = 3*b - 60. Calculate the smallest common multiple of 21 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 667137*w + 41. Suppose -6*j = -6 - 36. Let c be h(j). What is c rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 18\/15)*5\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56, -113, -172, -233, -296, -361, -428?\n\"Answer: -t**2 - 54*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 20*o + 174. What is u(-27)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - n - 17. Let v be h(-9). Let y = -88 - v. Calculate the greatest common factor of y and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931684 is divided by 11225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-466650)\/(-54900)*360\/(-34)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23271 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 228*s - 11188. Determine z(-42).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**5)\/c)\/c**(-2\/13)*c**(1\/4)*c**(-3\/8) assuming c is positive.\nAnswer: c**(-517\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.02 (b) 66480.6 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1366*t + 772. Calculate h(1).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50374219 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) - 1 - 0. Let g = 0.033 - 0.103. Let q = 0.93 - g. What is the closest to q in -4\/3, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x - 13 - 1 = 29 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 9:57 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001091 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 1:39 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10243122 - 13202?\nAnswer: 10225520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52875997\/315 - 167860. Calculate the common denominator of 17\/504 and f.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0 in increasing order.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7299 divided by -8525\nAnswer: 7299\/8525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -9. Let l(i) = 92*i + 376. What is the smallest common multiple of x and l(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -7, 12, 47, 104, 189, 308, 467?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + sqrt(468)*-2 - -5*sqrt(260)\/sqrt(5))**2.\nAnswer: 12*sqrt(13) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5\/5 - 138*z**4\/5 - 8670*z**3 - 1265688*z**2\/5 + 17677467*z\/5 + 70704738 = 0. What is z?\nAnswer: -57, -13, 18, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17d6a0 (base 14) in base 13?\nAnswer: -23705b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**4 + 22151*f**3 + 55041?\nAnswer: -4*f**3 + 66453*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-3)\/(207\/(-3))). Let o = h - -44. Solve 4*p - 5 = -o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450906 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-66)\/3)*3. Let f = 0 + j. Calculate the remainder when f is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000554907034 rounded to 7 decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 3456*z**2 + 2975589*z + 17978166.\nAnswer: (z - 1731)**2*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from tlsitdilxit?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 7*i**3\/3 - 7*i**2\/2 - 5*i - 4. Let d(j) = -8*j**2 + 8*j + 6. Give -5*d(g) - 6*k(g).\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 4 - 0 - 14, -14*j - 119 = 22*h - 37 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 22. What is p(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = 2*d, -3*b + 15 = 3*d - 6*b. What is the biggest value in -1\/2, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n - 7. Let l(i) = 14*i + 14. Let o = 76 + -47. Suppose 5*h = -o - 6. Let x(a) = h*v(a) - 4*l(a). Let c(z) = z + 1. Determine 6*c(w) + x(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24721 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -9.1, -1\/2?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11497597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {j: 4, l: 2, h: 3, c: 6}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19831\/4 - -4957. Put -0.1, 22, -10, f, 5 in descending order.\nAnswer: 22, 5, -0.1, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206975479?\nAnswer: 9343, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 2 + -20 + 94 + -64 + (-44 - -2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2912\/23660*(-5)\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 - 9*b**2 - 9*b - 11. Let d(v) = 2*v**3 - 2. Let i(n) = 3*d(n) - h(n). Give i(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(140)*-6 - (-3*((sqrt(140) - (sqrt(140)*-2 + sqrt(140))) + sqrt(140)) - sqrt(140)))\/(1*(sqrt(45)*2 - sqrt(5))).\nAnswer: 32*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v - 36. Let i be q(5). Suppose -140 = -c + i*n, -2*n - 166 + 426 = 2*c. What is the highest common factor of 33 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 21. Sort o, 1, 1\/9.\nAnswer: 1\/9, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818*k**3 - 835*k**3 - k**2 + k**2.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*g - 6)*(2*g + g - 5*g + (2 - 3 + 0)*(g + 3*g - 2*g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven fifths of a centimeter?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {s: 1, c: 4, x: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d**2 + d + 7. Let m be u(0). Suppose -m = -5*k - 2. Let v be 8\/(-6)*(-6)\/(-20). Which is the closest to k? (a) -0.5 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00159549418 rounded to five dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/208 and 40\/3?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1501 + -11ff?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 144 = -5*t + 3*g, 4*t - 126 = 6*g. Let f(n) = 2*n**2 + n - 2. Calculate the remainder when t is divided by f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.66604 centuries to millennia.\nAnswer: 1.866604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181 - 68. Let y = 158 - w. Suppose -5*n + 360 = y. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-10)*-4 + -8. Let w(x) = 11*x. Give w(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.055894 tonnes to milligrams.\nAnswer: 2055894000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 27. Calculate the least common multiple of 240 and n(-9).\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1*(-10)\/15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**3 + 2*p**2 - 4*p + 2. Suppose 3126 = -30*t + 11226. Let y = t - 252. Calculate the remainder when f(2) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -45. Suppose 4 = -4*k, -5*k - l - 16 = 3*y. Let s = y + 39. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 13*j**2 - 15*j - 10. Determine h(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*y - 3*y = -2, 0 = 4*y + 16. Let x = -19 - -18. What is the biggest value in x, -2, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oop when three letters picked without replacement from {v: 1, c: 3, o: 4, i: 1, p: 1, x: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**3\/4 + 15305*j**2 + 61235*j + 61240 = 0. Calculate j.\nAnswer: -2, 12248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6*7*((-2497)\/231 - -11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 g, and 1 t when three letters picked without replacement from snntsnnngnsttnwpnnnn?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332872329.\nAnswer: 3, 661, 167863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12)*-3)\/((-7)\/2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(432) - sqrt(432) - sqrt(3))*-6 + 0)**2.\nAnswer: 288*sqrt(3) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + d - 6*d)*(0 - 1 + 0)*(-36 + 169 + 124 + 0 - 1 + 2 - 4 + 1 + 2 + (1 + 2 - 1)*(0 + 2 + 0) - 3 + 0 + 0)*(0 + 4 - 1).\nAnswer: 774*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*q = 17096, -68324 = -4*f - 178*q + 177*q. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -44*i**2 + 13. Let c(d) = 85*d**2 - 27. What is 5*b(q) + 3*c(q)?\nAnswer: 35*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1097*n + 12*n**2 - 1 + 1097*n)*((n + 0 + 0)*(-2 + 4 + 0) + 5*n - 3*n + n) + 4*n**3 - 5*n**3 - 2*n**3.\nAnswer: 57*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264905, -264911, -264917, -264923, -264929, -264935?\nAnswer: -264941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 57973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146640 and 5328?\nAnswer: 16277040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:13 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*h = -48, 6*q - 28 = 3*q - h. Let d = q + -5. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16550*z**4 + 14*z**2 + z + 137 wrt z?\nAnswer: 397200*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 7*s**5\/20 - 4*s**2. Let z(v) = 2*v**2. Determine z(u(w)).\nAnswer: 882*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k = -25. Let n(o) = o**3 - 4*o**2 - 2*o + 1. Determine n(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:28 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1001111011 (base 2) to base 10\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**3 - 3*g**3 - 5*g**3 + ((g + 4*g - 3*g)*(-2*g - 2 + 2) + 1 - 1 - 4*g**2)*(23*g + 1 - 35*g + 18*g) in the form s*g + a*g**2 + v*g**3 + r and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -0*a + 720. Suppose 15*w - 14*w = -a. What is the common denominator of -109\/18 and ((-306)\/w)\/(6\/(-5))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -19, 7, 1 in decreasing order.\nAnswer: 7, 1, 0, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**4\/12 + 2*w**3\/3 - w**2 - w. What is the units digit of u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4055799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 - 0.333?\nAnswer: 806.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -16. Solve 0 = x + 2*x - i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 7:24 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-12) + 2\/((-14)\/(-91))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15541210*r**3 + 101359*r + 41 wrt r.\nAnswer: 93247260*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315088483?\nAnswer: 315088483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.89 + 0.69. Suppose 11*t + 39 + 49 = 0. Let i be (-48)\/(-80)*(0 + t\/6). Which is the third smallest value? (a) 0 (b) 0.4 (c) j (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -353, -366, -395, -446, -525, -638, -791?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -437822 > -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmjlmqqjmqqqllvvqlvl. Give prob of sequence jqm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-190)\/(-44))*(-3480)\/4785\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from ddddaodaadadaoaadda?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2, 11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -150769\nAnswer: -5\/150769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from iiiillifllafifilfeii.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 87\/(-6))*2. Let y = -1 + x. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 627549897 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -819*z**2 - 589*z**2 - 2218*z**2 + 698*z**2 to n*z**2 + a + x*z and give n.\nAnswer: -2928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) -0.239 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -403264975 - -612156198931\/1518. Let j = u - 4\/253. Find the common denominator of ((-206)\/(-15))\/((-4)\/3) and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 28 + 4 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 131.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 30.02 (c) 2 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*x + 362. Let l = x - 265\/4. Let z = -12 - -8. Is z greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Suppose -6*s - 17 = -2*c - y*s, -s = c + 4. Let t be c\/2*(1 + 1). Which is smaller: -1\/4 or t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18 - -6) + -1 + -3. Let t be 12\/(-15)*q\/(-8). Solve -1\/6*r**t + 1\/6*r**3 - 1\/3*r + 0 = 0 for r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + o + 4*o + 2*o - 6*o in the form n*o**3 + r + i*o**2 + d*o and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**7*(((z\/(z\/(z*z\/(z*(z**5*z)\/z)*z*z)))\/z)\/z*z*z)\/z*z)**50\/((z*((((z\/(z\/((z**(-2\/7)\/z)\/z)*z))\/z)\/z)\/z)\/z)\/z**7)**40 assuming z is positive.\nAnswer: z**(1270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619744202.\nAnswer: 2, 7, 11, 89, 103, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*n - 2*n = -2*n - 43, -6*u = -2*n - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -0.48?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**2 - 2470*l - 17949 wrt l.\nAnswer: 10*l - 2470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - b = -5, 5*g - 2*b + 4 - 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*2*5 + 4*-2*sqrt(200) - (sqrt(968)*-2)\/(sqrt(4) + sqrt(400) + sqrt(400) + sqrt(400) + sqrt(400)*-1 + sqrt(400) + sqrt(400)))**2.\nAnswer: 1417928\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3375*r - 1602*r + 14 = 1779*r + 4*m, 2*r + 5*m - 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01252365 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -3*j**7\/56 - 11*j**6\/36 - j**5\/3 - 128*j**3\/3 + 41*j**2 - 4*j. Let x(c) be the first derivative of v(c). Factor x(i).\nAnswer: -5*i*(i + 2)*(9*i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/9 - (-1)\/(-15). Let w be (-5253)\/68 + (-2)\/(-8). Let r be (-1)\/7 + (-88)\/w. Is r > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 - 227. Suppose s + 9 = d - 6, -4*s - 3*d - 39 = t. Put s, -2, 4 in decreasing order.\nAnswer: 4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42116 take away -1.2?\nAnswer: 42117.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2da940 (base 14) to base 7.\nAnswer: 16431210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1)*28*(-12)\/(-336)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 161 + (-7)\/(-14)*6. Which is smaller: 160 or q?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6448.2 - 6448. What is the nearest to 9.1 in -0.2, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 103 + 47 = 0. Suppose -2*t - a = -7*t. Calculate the smallest common multiple of t and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 3*c + c)*(-25*c + 49*c + 44*c).\nAnswer: 408*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.2 at least as big as 2.3872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 12 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (61\/(-61))\/((-6)\/8)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4024.1 centuries to millennia.\nAnswer: 402.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i - 51. Let y be j(9). Suppose 8 = y*b - 8*b. Solve 3*r - 2*c = -2, b*r + 4*c - 16 = c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703623 a multiple of 509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117850 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:29 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34.3233 and 774?\nAnswer: 808.3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25567244 is divided by 3195902.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i - 1. Let b(y) = -7*y + 1. Determine -8*b(p) - 5*c(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from qovraqqroqov?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14215 is divided by 62?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 899, 5, -6\/29?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5148590111 and 14879.\nAnswer: 5148604990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -60 - ((52 - 54) + -30)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74684 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.64582878 to 2 dps.\nAnswer: 70.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -200 or -232?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, -258, 4 in increasing order.\nAnswer: -258, -117, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 9:17 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/4 + 2*a**3 + 2*a**2 - 4*a - 2. What is i(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143851, 143862, 143873?\nAnswer: 143884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*o + 95 = 9*n, -5*o - 58911 = -4*n - 58896 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49371, 50705, 52043, 53385, 54731, 56081, 57435?\nAnswer: 58793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 35. Let k be i(19). Let l = -21 + k. Let y(g) = g**2 + 4*g + 2. Determine y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -126, -301, -198, 183, 842?\n\"Answer: 139*q**2 - 592*q + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 14*a**2 - 8*a - 281. Let l(x) = -9*x**2 + 5*x + 187. Give -5*i(k) - 8*l(k).\nAnswer: 2*k**2 - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**18*a\/(a\/((((a*((a**(2\/23)*a*a)\/a)\/a)\/a)\/a)\/a)*a))\/(a**(-2\/19))**9)**9 assuming a is positive.\nAnswer: a**(63063\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-95436)\/15380 + 0\/1. Let w = r + 4\/769. Calculate the common denominator of -54\/5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 2*d + 2*d)*(-3 + 6 + 4) + 6*d**2 - 27*d**2 + 7*d**2.\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166 is divided by 249.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.24198 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/22268 and 9\/76.\nAnswer: 22268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - -1)*(-15)\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3\/7 (c) 200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/7 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**4\/4 + 2*f**3 + 2*f - 1. Let m be o(-6). Suppose -m*i - 2*i + 40 = 0. Solve 2*l = 4*l - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/(1\/(-3)). Let f = 6 + h. Suppose 2*x + 54 = f*t, 0 = x + 5. Solve -3*k - t = 2*c, -c + 3*k = 3*c + 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -11, -19, -29?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urlu when four letters picked without replacement from {v: 1, n: 11, l: 1, z: 1, r: 3, u: 2}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5 - 6*z**4 + 54*z**3 + 544*z**2 + 1515*z + 1350 = 0. Calculate z.\nAnswer: -5, -3, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -640 (base 8) to base 4\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -12*x**2 - 122*x - 4. Let d be n(-10). What is the greatest common factor of d and 10512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-8)\/16)\/(3\/174). Suppose -j*f - 9 = -86*f. Let d(i) = -i**3 - 8*i**2 + 7*i - 12. Give d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from wigiswgwigwggwii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 18424 = -86588. Suppose 3*c - h = 2*h + n, 2*c + 2*h - 5850 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3341 + 3301 = -8*p. Which is the nearest to -1? (a) p (b) 1 (c) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 584 and (-85)\/85*((-728 - 0) + -3 + 1)?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11635 is divided by 283?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314075 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 w = -0.094 + -0.006. Let x = 8 + -9. Which is the nearest to w? (a) x (b) -3\/4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -410*t. Let l(p) = 750197*p**2. Give s(l(c)).\nAnswer: -307580770*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**7\/5040 - j**6\/120 - j**5\/20 - 4*j**2. Let g(o) be the third derivative of d(o). Give g(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2. Let l(f) = -35*f + 223. Determine z(l(m)).\nAnswer: -3675*m**2 + 46830*m - 149187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 - 4)*(3*b + 0*b - 4*b) + 7 - 7 + 7*b)*(-2*b**2 - 5*b**2 + 3*b**2) in the form g*b**3 + m*b + c*b**2 + s and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 + 35 = 4*f, 2*f = -x + 14. Solve -x*t = z - t - 14, 3*t - 8 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 8*d - 30, 0 = 2*c - 5*d + 708. Is -8 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532358 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.5 * 0.5\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24982*z**3 + 97*z**2 + 9*z + 52386572 wrt z.\nAnswer: 74946*z**2 + 194*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -186*x - 22. Suppose 3*c - 8*c = 30. Is m(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10991820*r**4 + 10712280?\nAnswer: -43967280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159576 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (99\/18)\/(2\/(-20)). Let g = h + 63. Solve -3*m - m - g = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -30*a - 177. Let r be t(-5). Is 33 + r - 243\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0621843, -1\/6, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 723320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + o = 8*j - 11, 3*j - o + 10 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11364074\/299 - -38007. Let v = -5\/23 + i. Let w = 1 - 0. Sort v, w, 2\/7 in increasing order.\nAnswer: v, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*o - 1 = 61*o. Let a(s) be the second derivative of s**4\/12 + s**3\/6 - s**2\/2 + 6*s. Give a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1111*h**2 - h**3 + 2 + 0*h**4 - 15*h - 1112*h**2 - 14*h + 2*h**4 in the form c*h**4 + s*h**2 + u*h**3 + x*h + n and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a + 24 = 0. What are the prime factors of 4\/(-16) - (-114)\/a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 96, 140, 168, 174, 152, 96?\n\"Answer: -c**3 + c**2 + 58*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h - 1. Let v be x(1). Suppose -v*p + 0*p = -72. Calculate the highest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 210, 213, 216, 219?\n\"Answer: 3*q + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9144550 is divided by 27627.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*p + 585 = 0, -p = -5*t - 571 + 1. Let i(g) = 9*g**2 + 5*g + 6. Let x be i(-6). Let v = t + x. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3802 plus -1093?\nAnswer: 2709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**2\/2 + 2*i. Let u(c) = -c**3 - 5. Determine u(d) - 5*v(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(0 + 2 + 0). Let o be (-20 + k)\/(3 - 4). Suppose w = -w + o. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l + 4, -4*t - 4*l = -152. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*z + 118 + 38 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -0.4, -4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -1\/2, -4\/3, 0.3, 6.7 in increasing order.\nAnswer: -4\/3, -1\/2, 0.3, 5, 6.7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83133 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23134 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-7) - (-7)\/((-441)\/(-747)). Solve 9 = -3*a - 2*z, 6*z = -5*a + w*z - 43 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 6 + 19. Solve 3*y + g = -5*a, 0 = 5*y - 3*a - 0*a - 37 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2. Let r = 4 - 4. Suppose r = 5*z - 0 + 10, -2*l = -5*z - 14. Let b(o) = 7*o - 9*o**l - 7*o. What is b(y(j))?\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 40. Suppose 2*j = 3*l - 13, -4*j + 5 = -3*l + 22. Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let j(a) = a + 6. Let r be j(-2). Let p(c) = r*c - 2*c + 12*c. Determine t(p(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033 is divided by 166.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(13312\/(-616)) - (1 - 68\/64).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9272660*h**2*z + 13798*h + 66*z wrt h.\nAnswer: -18545320*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74\/(-74)*-1*277 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 25*f**4\/4 - 6560*f**3\/3 + 9145*f**2\/2 - 2610*f - 1141. Find v, given that d(v) = 0.\nAnswer: 2\/5, 1, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 2) + 1 - -1. Let h be u - (-15)\/(-4) - 0. Which is the biggest value? (a) -4\/7 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2574 - -2730. List the prime factors of c.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.8 + -48. Let k = x + 2. Let q = -8.200053 - k. What is q rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508e (base 15) to base 11.\nAnswer: 11863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -342827*c**2. Let n(a) = 8*a. Calculate n(r(g)).\nAnswer: -2742616*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4069662434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 3*w**2 + 4*w + 3. Let u be d(-2). Let j be (u - -3) + -1 - 1. Is j > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -815, 6 in decreasing order.\nAnswer: 41, 6, -815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 10879848.\nAnswer: 119678328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -57\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millisecond in microseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8102145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235 and 282?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) 1\/6 (c) 0.1 (d) 2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -417, -830, -1243, -1656, -2069?\n\"Answer: -413*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 2*r**5 + r**5 + (-4*r + 4*r + r**4)*(-r - r + 3*r) - 2*r**2 + 2*r**2 - 6*r**5 + (5 - 6 - 1)*(-2*r**5 + 2*r**5 - r**5).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 37*x - 37. Let k be v(-38). Let j be -1 - k - (-116)\/40. Suppose 2 - 12 = -5*f. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 + 15*m**3 + 55*m**2 - 15*m - 50 = 0. Calculate m.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3703118702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/1*6\/((-24)\/604)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*r - 267*r = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1440, -20, 0.\nAnswer: -20, -4, 0, 1440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/15 + -4)\/((-1)\/(-66)). Let j = q + 97. Solve 3*z - 2*i = -z + 6, 2*z + j = 5*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 22606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 8, y: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -31220320 (base 4) to base 13\nAnswer: -1c573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpliwpwipppup. What is prob of sequence uilw?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(3520) - sqrt(55)))\/(sqrt(1584) + -3*sqrt(1584) + sqrt(1584) + sqrt(1584) - sqrt(11)))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436648.1g to nanograms.\nAnswer: 436648100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 380, 757, 1392, 2291, 3460, 4905, 6632, 8647?\n\"Answer: z**3 + 123*z**2 + z + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 8:04 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 543.2791l in millilitres?\nAnswer: 543279.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-36)*-3*54\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 61.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*o + 126 - 372, -i - 147 = -5*o. Sort -4, -1, i.\nAnswer: i, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37336602 a multiple of 1088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2223, 2877, 4659, 8133, 13863, 22413, 34347?\n\"Answer: 94*u**3 - 4*u + 2133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7812 + -319.8812. Let c = i - -334. Round c to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*o + 768*o - w + 1 = 0, 2*o + 26 = -6*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - -4 - (-101398 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 1 + 8*f - 2 - 2. List the prime factors of w(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -15. Let r(o) = o**2 - 7*o + 10. Let a be r(8). Solve 3*t - a = -h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -63?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-20))\/3 - (-1098)\/180. Let v(i) be the first derivative of i**2 + 3*i + 1. Determine v(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127416197 + 127311298.9815. Let t = j + 104972. Let f = t - 74. Round f to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000275192075 rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {g: 1, y: 3, p: 3, v: 1, b: 2, k: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = l - 3997, 0 = 2*l - 12*d + 11*d - 7994. Suppose -4*g - 6*p + 3972 = -10*p, p = -4*g + l. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 1, g: 4, r: 2, h: 2, v: 1}. Give prob of picking 2 r and 1 h.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7200176*h*y**2 - 2*h*y - 24*y**2 - 2996*y - 21093 wrt y?\nAnswer: 14400352*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.5 and 150140?\nAnswer: -1276190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/85 less than or equal to -73\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -63*u**2 + 379*u + 161. Let c(o) = -63*o + 190. Let z(w) = 13*c(w) - 6*l(w). Differentiate z(v) wrt v.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/16 and -45\/1276.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - (sqrt(76) + -1*6*sqrt(76))) + sqrt(76))*5)\/(2*(sqrt(360) - sqrt(40))\/sqrt(10)).\nAnswer: 35*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19 + 1\/(1\/(-3)). Let l be ((-2)\/5)\/(h\/20). Let w be -1 + (2 + 0)\/(-1). Which is the closest to -0.1? (a) 0.1 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m + 39 + 69 = -67*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(5\/2))\/((-4)\/(-24)). Let n(c) = -24*c + 74. List the prime factors of n(o).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 13*h**2 - 2*h + 26. Let a be k(13). Let l be 0 + a - (-1)\/(-87)*-3. Let i = 0.9 + -5.9. What is the third smallest value in l, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k + 183. Let f be g(7). Suppose 311*p + f = 306*p. Let c(w) = w**3 - 6*w**2 - 6*w - 8. Let d be c(6). Is d not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 401*i - 742.\nAnswer: 401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -735742?\nAnswer: 735742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 + 16*p + 19. What is the units digit of q(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1321*q + 1342*q - 399 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164.896 - -0.104. Let p = j + -161.4. Round p to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69.44 - -68. Let z = -72.44 - y. Let t = 70.99999987 + z. Round t to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v + 43 = -3*w, 0 = -w + 5*v - 31. Let m = w - -6. What is the nearest to m in -0.1, 3\/10, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsysjybyybmybyjjjjym. Give prob of picking 1 s and 1 j.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**6\/720 + 7*z**4\/24 + 3*z**2. Let q(o) be the second derivative of p(o). Let f(y) = 547*y - 547*y - 28*y**2. Give f(q(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 25.1. Which is the nearest to f? (a) -1\/5 (b) 0.3 (c) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n\/(n**(-1)\/n)))\/(n*n\/(n*n\/(n*n*n\/n**(-3\/7)*n*n)*n*n)*n*n**(-2\/39)) assuming n is positive.\nAnswer: n**(-649\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 357*n + 44. Let o(d) = 195*d + 22. Calculate -7*o(z) + 4*y(z).\nAnswer: 63*z + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((((-2)\/(-1))\/26)\/3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1209481347 + 3048.25\nAnswer: 1209484395.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1081116.5 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -825, -159, 411, 831, 1047, 1005, 651, -69?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 367425 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/7, 7, -8 in descending order.\nAnswer: 7, 1\/7, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n)\/n*n\/n**(-8) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01244 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**6*o**2 + 4*j**6*o + 256*j**2*o**2 - 2*o**2 wrt j?\nAnswer: 600*j**3*o**2 + 480*j**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3160*i**2 - 15*i - 19 wrt i.\nAnswer: 6320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42630 and -0.2.\nAnswer: -8526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17, 41, 91, 179, 317?\n\"Answer: 2*q**3 + q**2 + 7*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 15.09. Let i = l + -12.09. Let x = -10 - i. What is the third biggest value in x, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 384 = -1009. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.57 (c) -2\/13 (d) -2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.58 in -4, 4, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*d**2*k + 3*a**2*d + 2*a**2*k + a**2 - 3*a - d**3*k with respect to d.\nAnswer: 2*a**2*d*k + 3*a**2 - 3*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 32*s = -144. What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by 11836?\nAnswer: -51\/11836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -956*w + 3845. Let g(j) = 3*j + 3. Let y(d) = 3*g(d) + s(d). What is the first derivative of y(q) wrt q?\nAnswer: -947","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 76 = -34. Sort k, -3, -5 in descending order.\nAnswer: -3, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 19*n**3 + 73*n**2 + 33*n - 126.\nAnswer: (n - 1)*(n + 3)**2*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from sllkxvsfv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 10, 13, 16, 19, 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c\/c**(-1\/6))))\/c**(-6))\/((c*(c*c**(2\/7))\/c)\/c**(2\/3)))\/(c**5\/((c**(-1)*c)\/c)*(c\/((c*c**(-2\/5)*c)\/c)*c*c)**(12\/19)) assuming c is positive.\nAnswer: c**(127\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -11*v + 1035. Suppose 2*c = 1 + v. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49035, 151, 0, -1 in descending order.\nAnswer: 49035, 151, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*d - 12 = 0, -4*q = -d - 19 + 5. Calculate the remainder when 6 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10696*z - 1648 = 10807*z - 11527 for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 1. Let r be q(-1). Suppose -10 = -0*n - 5*n. Suppose -2*c = -r*k - k + 15, 0 = 4*c + n*k - 30. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 11*w**2 + 8*w. Let s = -9 + 11. Let h(z) = -z**3 - 9*z**2 + 5*z**2 + 5*z**s. Let f(y) = h(y) - l(y). Factor f(k).\nAnswer: -4*k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 8*o + 11. Let i be d(9). Suppose -4 = -i*s, 5*a + 82 = -2*s + 681. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10199 + 28061?\nAnswer: 17862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 459295, 4, 99 in decreasing order.\nAnswer: 459295, 99, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*20\/(-8)*-3. Solve -23 + 4 = 5*u + g, x = -u - 3*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, -87993.\nAnswer: -87993, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = f - 13*f. Let b be (-15)\/51*(f + (-1)\/115). Is 0 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 172*o + 212*o - 338*o in the form c + l*o and give l.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {o: 10, p: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 21*n = -12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 422016 (base 7) to base 3\nAnswer: 10200202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 57. Let u be c(19). Suppose 7*k = -u*k - 21. What is the units digit of 4\/k + 0 + 993\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 27*h**2 - h - 4. Let o be k(6). Suppose 12*i + i - o = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -s + 5*v, -5*s + 18*v = 20*v + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.139 + 143?\nAnswer: 142.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -111.1. Let p = o - -11. What is the biggest value in p, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -2, 1\/322, -0.046, -5?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 7*i**2 - 2*i - 16. Let d be -1 - 2\/(-1) - 8. Let h be u(d). Sort -1, h, 3, 5 in decreasing order.\nAnswer: 5, 3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:26 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 3555?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 149886?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -13?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 3. Let j(i) = i + 2. Let v = -953 + 948. Give v*k(q) + 7*j(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-7)\/(147\/(-9)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 + 0 + 5\/(-1). What is the hundreds digit of 3 + (3 - (-176 - o))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, -1\/3, 2, 0.11, -359?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175342200767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5531*m + 66378. Give s(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14958 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*f + f - 2 = 0, 0 = v + 2*f - 10. Let x be -2*v\/(-8)*0. Let g = 193.9 + -194. Is g >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(-1\/4)*m)*m)\/m**(-11)*(m**4)**34)**(4\/5) assuming m is positive.\nAnswer: m**(593\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.3095 + -45.1. Let j = -3.0935 - t. Let w = 3.3 + j. What is w rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggj when three letters picked without replacement from {u: 5, g: 2, j: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 925 - 923. Which is the closest to 0.1? (a) 0.2 (b) -0.1 (c) v (d) -18\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7987581 millennia to years.\nAnswer: 798.7581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 256228*m + 256228*m - 331 as j*m + b*m**2 + p and give p.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 4\/7, 482, 0.4, -1.7, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let y(h) be the first derivative of -25*h**2\/2 + 9*h - 32. Let l(a) = -13*a + 4. Let g(f) = 9*l(f) - 4*y(f). What is u(g(x))?\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 36, 37, 38, 39, 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from erree?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22.2? (a) 0.1 (b) 64 (c) 1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3 = -3*u + 4, 4*g + 16 = 3*u. Solve -u*m + 5 = -9*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + f = -3*f - 8, 0 = 2*c - 2*f + 2. Let w = c - -5. Let t(z) = 8 - 2*z - 4*z**2 - 2 + w*z - z**3 - 1. Determine t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -2.0345?\nAnswer: -29.9655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -34)*((-104)\/(-20) - 4). Suppose -j*y = -35*y - 14. Solve -y = -c - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477.1899kg to tonnes.\nAnswer: 0.4771899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**19*p*p*(p\/((p*p**(-23))\/p))\/p)**(-5\/2))**(2\/35) assuming p is positive.\nAnswer: p**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/56 - 75898\/(-2192)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c - 16. Suppose -4*x = c*j + 3, -j = 3*x + 2*j + 3. Suppose x = -18*k + 21*k - 117. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 211*o**2 - 29*o + 225*o**2 + 28*o + 149*o**2 in the form l + c*o + w*o**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.3012144 rounded to 1 decimal place?\nAnswer: 33.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d + 0)*((1 - 3 + 0)*(34 - 6*d - 34) + 3*d - 5*d + 0*d).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3616 is divided by 147.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-2\/3)*u))\/u)\/u**(12\/13) assuming u is positive.\nAnswer: u**(-140\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/3391 - 250901\/37301. Let s = x + 181\/22. Factor -4*v**2 + v**4 + 0 + 1\/2*v**5 - 2*v - s*v**3.\nAnswer: v*(v - 2)*(v + 1)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3939 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395, 397, 399, 401?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 81 = 4*u - 12*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*x + 5*x + 29, x = -2. Solve -f + 7 = -16*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.02662 - 339218?\nAnswer: -339202.97338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*h - 1, -g = -3*h + 37. Find the common denominator of 2\/1 + g\/8 and 151\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 1. Let b(g) = -2*g**2 - 7*g - 7. Let u(z) = 4*b(z) - 28*v(z). Suppose -p + 2 + 2 = 0. Let m(y) = -p*y**2 - 5*y**2 + 8*y**2. Calculate u(m(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17063813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from alwdnyn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/6 - (-825)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*j - 6 = 0, 2*q - 3 - 7 = -j. Solve -12 = -q*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (2*sqrt(378))\/((sqrt(6) - sqrt(6)*-2)*-1))**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4*3\/(-120))\/((-20)\/50)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 2*i - 69, 69 = -337*l + 678*l - 337*l + 3*i for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*r + 44 - 2*r + 6*r - 3*r wrt r.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 6)*(-i + 84 - 84)*(2*i + 0*i + 0*i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (14 + -23 - -8) + -23?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3116*g = 5*p - 3112*g + 11, -4*p - 2*g = 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41561234 by 35.\nAnswer: -41561234\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3\/8 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 + 3*k**4\/8 - k**3 + k**2. What is the units digit of m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5916\/290)\/(90\/75)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.39 and 9.3?\nAnswer: 8.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5873 to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a factor of 55250755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 55. Which is the second smallest value? (a) 4 (b) m (c) 1 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Let n(s) = 4*s + 71*s**3 + 2*s**2 - 72*s**3 + 4*s. Let h be n(x). Solve a + 3 = -h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 416242 greater than or equal to 416247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.8 and 82333.92602534.\nAnswer: 82336.72602534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 41595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 101, 212, 389, 626, 917?\n\"Answer: -z**3 + 39*z**2 + z + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2931910 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 71 = q, 255*w - 252*w - 5*q - 40 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 45 + 81 = 0. Let r be 0\/((-6 - -3)\/c). Let -1\/2*s + 1\/2*s**3 + r*s**2 + 0 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7400505 and 1057215?\nAnswer: 7400505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -0.07, -0.059, 1\/5?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 367759900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6920 and 1923610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1331500 to the nearest ten thousand.\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 32. What is the remainder when 29 is divided by 3*(1390\/210 + h\/(-14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227.30969 - 0.21969. Let f = 228 - u. Let c = -0.897 + f. Round c to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 2. Let f be s(-2). Let j(u) be the first derivative of -u**4\/4 + 5*u**3\/3 + 3*u**2 + u - 26. What is j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 12:11 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07300631 + -3.77303931. Let c = 3.7 + j. Round c to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*k + 30, -w = k + 2*k - 35. Solve -4*z = -2 + k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s - 445 = 6505. Calculate the smallest common multiple of 3 and s.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-298)*51*(-49)\/(-2499)?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, q: 11}. What is prob of sequence bq?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*u = 216, 0 = b + 2*u + 3*u + 54. Let g = 59 + b. Suppose -322 = -g*y + 1903. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p**3 - 10*p**2 + 3*p + 3. Let f = -43 + 46. Let m(d) = -d**2 - d - 1. Let i(h) = f*m(h) + v(h). Find the third derivative of i(r) wrt r.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 21*f - 5 + 2 to the form l + g*f and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -763, -2571, -6089, -11887, -20535?\nAnswer: -32603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 35*j = 1136. Which is smaller: j or -282?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -3 - -5 - (24 - (7 - -24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (-28)\/42*(-476 - -2)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 412. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125361448 and 20112.\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*h**2 + 1 - 58*h**2 + 2)*(-4*h - 6*h + 15*h) in the form k*h + z*h**2 + u*h**3 + d and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -39?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 16*f - 11. Give n(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5319000 to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c + 8 = 0. Let i(g) = -3931*g - 24. Is i(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**3\/6 + 89*v + 103. Let g(l) be the first derivative of u(l). Let p(m) = -68*m**2. Calculate p(g(j)).\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -19*p - 13. Let w(t) = -9*t - 7. Let s(o) = 6*c(o) - 11*w(o). Is s(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -413296, -826597, -1239904, -1653217, -2066536, -2479861?\n\"Answer: -3*g**2 - 413292*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Sort -2\/7, -11, k.\nAnswer: -11, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 - 14*u**2 + 6*u + 3. Let t(a) = -a**3 + 2*a**2 - 1. Suppose k = 5 - 6. Let j(l) = k*z(l) - 3*t(l). Calculate j(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000744114 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2 - (-33)\/(-33). Factor -2\/3*w**2 + 0 - 4\/3*w**3 + n*w - 2\/3*w**4.\nAnswer: -2*w**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 1964?\nAnswer: 15712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2. Let m(j) be the first derivative of -15*j**2 - 60. Give t(m(z)).\nAnswer: 1800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 1388*r**2 + 73*r + 3451. What is the derivative of c(d) wrt d?\nAnswer: 2776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -40. Suppose -2*m + 7 = 3. Suppose 0 = 4*q - m*x - b, 4*x + 0*x + 18 = 5*q. Solve -2 - 2 = q*u, -2*u = 5*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 24 = 8*p - 3*u, 3*p - u = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -589*d**2 - d + 2641.\nAnswer: -1178*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -253, -132, -5, -1, 5.\nAnswer: -253, -132, -5, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(0*r**2 + r**2 + r**2) + 18676 - 9337 + 922*r**2 - 8287*r**2 - 9339.\nAnswer: -7367*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1248 + 1921. Let w = -250 + n. What is the remainder when w is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 + 10*o\/3 - 68\/9.\nAnswer: 2*(o - 2)*(o + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 9*v - 2. Let a be d(-9). Let t(w) = 2*w + 23 + 20 - 73 + 29. What is t(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -15 - 5. Is (-5 + -3)\/d*(-3278)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48207 to the nearest 100.\nAnswer: 48200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/44 + 3\/11. Let n be 3\/(-2)*(-4)\/(-15). Which is the nearest to -0.3? (a) n (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -735, 79, 16, 4.\nAnswer: -735, 4, 16, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 166*(9\/(-6) + 4). Let q(l) = 4*l + 0*l - l + o - 1615. Let n be q(0). What is n rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.97313 rounded to 0 dps?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:20 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.2. Let m be -3 + -9*64\/(-12). Let w be ((-18)\/m)\/(9\/5). Which is the closest to -2\/7? (a) i (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284400307.\nAnswer: 3, 7, 108780967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - s**2 - 3*s + 1. Let j be a(2). Is j + 1 - -2 - -9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1*(-42)\/(-56). What is the nearest to 0.3 in b, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84826278 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 478 (base 9) to base 5\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -528.31756 to 0 dps.\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (3\/(-1))\/(-3). Suppose p = -k*p + 519. Suppose -o - 2*o - 6 = 0, 4*o + p = 5*a. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 242.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2985 + -2898. Calculate the remainder when 3740 is divided by v.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0 + 18. Find the first derivative of g*x**3 + 8 + 4 + 14 - 55 wrt x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2286, -18025, -60728, -143877, -280954, -485441, -770820?\n\"Answer: -2247*i**3 - 10*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66659 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 1:38 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 17*y + 2. Give t(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*z + 9 = 2*s, 0 = -4*s - 2*z + 6. Suppose s = -5*w + 2*k - 4*k + 566, -3*w - 3*k = -336. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452651 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (7 - 8) - (18 + -9 + 15)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 - 3*h**4 + h**3 + (-5*h**2 + 4*h**2 + 3*h**2)*(29 + 14*h**2 - 29) to the form r*h**4 + f*h**3 + w + i*h + g*h**2 and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lftf when four letters picked without replacement from {l: 1, p: 1, t: 1, w: 1, f: 2, x: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -328364*k - 2391. Let w(z) = 687*z + 5. Calculate 2391*w(c) + 5*y(c).\nAnswer: 797*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 57.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2521862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291941.\nAnswer: 13, 17, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3, 3*m + 2*m = -u + 28. What is the remainder when 9 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308 and 2576.\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(68) - ((sqrt(68) - 1*sqrt(68)) + sqrt(68))**2*5) + 6*(0 + sqrt(68))**2).\nAnswer: -272 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - 4920.\nAnswer: -4941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 122?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2242237*z**3 + 862332*z.\nAnswer: 13453422*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 213709877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14501 - 14501. Which is the nearest to h? (a) 0.1366 (b) -0.4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157544993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by 1?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x + 42. Let g be j(-19). Let k(a) = a**3 + 15*a**2 + a + 14. Let w be k(g). What is the units digit of 1 + 0\/(6\/(-3)*w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 14 + 14. Which is smaller: g or 15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 2*j**2 - 3. Let y(o) = -3*o**3 + 2*o**2 + 4. Let d(m) = 4*p(m) + 3*y(m). Factor d(v).\nAnswer: -v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)*175\/5. Suppose 2*z + 2 = -q - 0*z, 4*q = z - a. Let r(f) = -f**3 - 8*f**2 + 4. Give r(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-24) - (-99)\/24. Put 7, 5, d in ascending order.\nAnswer: d, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.62 + 1.7. Let f = s + 2.91688. Round f to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11168725 - -2?\nAnswer: -11168723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2 + 6 - 1 - 2*i + 1. Let w be f(5). Calculate the least common multiple of w\/((-4)\/42) - 3 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001101110 (base 2) in base 16?\nAnswer: -86e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*h - 127*h - 277245 = 52505. What are the prime factors of h?\nAnswer: 5, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/92748 and -17\/786?\nAnswer: 92748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191\/5 + (-15)\/75.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/6)\/(0 + 2) + -5.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280823*223.\nAnswer: -62623529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, c: 1, o: 1, q: 2}. What is prob of sequence xqqc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 - -496. Let b = -161 + l. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -14 + 40 + -65.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2. Let r(h) = 5*h**2. Let c = -22 + 22. Suppose 7*n - 5*n = c. Suppose n = 5*g - 8 - 32. Give g*o(a) - 3*r(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = -3*x, 2*x - 3*r = -2*x + 11. Solve 4*q - 3 = -5*l, -3*l + q = -0*l + x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d - d + 0*d)*(d - 2*d + 3*d) - 6*d + 9*d**2 + 6*d)*(2*d - 6*d + d).\nAnswer: -39*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 580122877 to the power of 1\/3, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.5, -123\/2, -2\/3, 14?\nAnswer: -123\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5\/4 + 64750*d**4 + 2590067*d**3\/4 + 4273645*d**2\/2 + 2590096*d + 1036040 = 0.\nAnswer: -4, -1, 259010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/6 - (-7)\/(-77)*77. What is the nearest to 0 in 0.5, o, -1\/4, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, x: 2, t: 8}. What is prob of sequence xxyx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4 + 1 + 2 + 2 + 3*p**2. Let u be t(-1). Factor w**4 + 5*w**4 - u*w**3 + 2 - w + 5*w**5 - 10*w**2 + 0*w**4 + 2*w**4.\nAnswer: (w - 1)*(w + 1)**3*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 447137.1ml?\nAnswer: 447.1371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1121?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 2*x + 3 - x**2 - 2*x. Let o(l) = -l**3 - 4*l**2 - 3*l + 4. Let a be o(-3). Suppose -7 = u + 5*i, 6*u = u + a*i + 23. Determine m(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:25 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235 a factor of 40748085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*j - 1010, -3*j - g - 200 = -963. Let k = j - -72. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 4*k + 2*r - 878, -2*r = 5*k - 1485. Calculate the greatest common divisor of 27 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 15, 559*v + 3155 = 5*r + 554*v. What is the remainder when r is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*z = -30 - 16, 0 = 2*h - 4*z + 4. Suppose 4*x**2 - 2*x**2 - 2*x**5 - h*x**3 - x + 6*x**4 + x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.3. Let o = 0 + x. Let s = 0.11 - 0.61. Which is bigger: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 2:07 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0*b**3 - 4*b + 0*b**2 - 1\/6*b**4 + 0. Let q(i) = i**2. Determine s(q(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 174990791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - j + 4*j - 11, -x - 5*j = -2. Suppose x*f - 41 - 92 = 0. Let u = 45 - f. What is the greatest common divisor of u and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 727 + -465. Let r = 16089 + -16067. What is the remainder when n is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -1 - (-28 - (-34 - -6))) + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -340*p + 3668. Let b be k(8). Calculate the highest common factor of 204 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30, 17, 2, -15, -34, -55, -78?\n\"Answer: -h**2 - 10*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3929*p + 331580 + 434336 = 13883*p for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*m**3 + 234*a**2*m + 249*a*m**3 - 12*m**3 - 1002*m**2 wrt a.\nAnswer: -2*a*m**3 + 468*a*m + 249*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-7)\/21*2\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 288 times -25\nAnswer: -7200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqxqxhqqxxhyxvxpv. What is prob of picking 3 q and 1 v?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*x. Suppose -5*g + r = -0*g - 15, x = -3*g - 3*r + 27. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2678930.1us to minutes.\nAnswer: 0.044648835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8919?\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 2 - (12 + 8 + -28)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 - (6 - (8 + -4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ataayaasayt. What is prob of picking 3 a and 1 t?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - u**2 + 2)*(1 + 2 - 2) + (7922 - 7922 - 1750*u)*(-1 + 1 - 2*u) to the form f + c*u**2 + j*u and give c.\nAnswer: 3499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38053*d**2 + 12697*d**2 + 12720*d**2 + 12689*d**2.\nAnswer: 53*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5*y - 2. Let m be v(3). Solve 0 = -m*c - c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*z - 363, -4*z + 120 = -3*f - 627. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*t = -z + 10, 4*z - 29 = -t. Suppose -z*x = -10*x + 4. What is the highest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.033 - -22.013. What is the nearest to w in -2\/39, 2, -3, -8?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1012 + 4?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 64. Let c = -47 + 45. Sort r, 2, c in decreasing order.\nAnswer: r, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4695 and -97\/2557836.\nAnswer: 12789180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5*-13\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12070?\nAnswer: 2, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 84*y**3 - 816*y**2 - 3120*y - 3600.\nAnswer: -3*(y + 2)*(y + 6)*(y + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -112202003 (base 4) in base 8?\nAnswer: -264203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7295921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 970?\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638482.\nAnswer: 2, 13, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59456 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - k - 2*k + 12 = 0, 2*p + 10 = -4*k. Let t be 0 + 15\/((-9)\/p). What is the greatest common divisor of 2 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 563\/204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.8591mm in centimeters?\nAnswer: 97.28591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 786156 - 4?\nAnswer: 786152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (329 - 338) + 16071*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 42) + 36 - -46.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11784.96 - 11785. Let r be 3*1\/((-15)\/(-2)). What is the closest to 0 in f, 5, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938*z + 16658 = -11206 - 9656 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -682 + 680. Which is greater: -2\/149 or x?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + 2 - (-24 + 17)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5888 and 512?\nAnswer: 11776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43 - 13 - -37 - (-2 - 51)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, 1, -4, 0, 17, 23 in decreasing order.\nAnswer: 23, 17, 8, 3, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 64 = 10*g + 32 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 3*r - 29. Let t be q(8). Let y be -5 + (t - 2) + -4. Calculate the greatest common divisor of 384 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -3.6, -600, 1\/156, -1?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2261 and 385.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2582724 divided by -645681\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + 12. Let t(j) = 18*j - 23. Let d(o) = -13*c(o) - 6*t(o). Let i be d(2). Factor -8*r**3 - 16\/3*r**4 + i - 16\/3*r**2 - 4\/3*r - 4\/3*r**5.\nAnswer: -4*r*(r + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10151 + -223253\/22. Suppose -4*m + m = -l + 203, 4*m - 828 = -4*l. Let t = -833\/4 + l. What is the common denominator of s and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4423, -4421, -4419, -4417, -4415?\n\"Answer: 2*x - 4425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - w - 9 = 16, -3*w + 5 = u. Suppose 5*y + a + 12 = 0, -u*a = 3*y - a - 3. Let t = 4 - 4.5. What is the third smallest value in t, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*a*k*u**2*z - a*k*u**2 + 2*a*k*u*z + 2*a*u + 2*a + 11*k*u**2 - 3*k*u*z - 4*z wrt u.\nAnswer: -150*a*k*z - 2*a*k + 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4534 + 4942. Suppose 0 = -2*x + 3*x + 205. Let g = h + x. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:15 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.1336 (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let u(b) = -51*b - 3. Let n(a) = 103*a + 8. Let o(y) = 2*n(y) + 5*u(y). What is q(o(c))?\nAnswer: 98*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-126))\/((-58)\/(-8))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 488 = -15*p. Let m = 959 + p. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**6*w**3 + 58*q**6 + 2*q**2*w**2 - 12*w**3 wrt q.\nAnswer: -360*q**3*w**3 + 6960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 14 = 4*z. Let u be 217\/z - 1\/(-2). Let i = -42 + u. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v + 37. Let i(z) = 2*z. Determine i(r(q)).\nAnswer: -18*q + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 - 2*t**2 + t**2)*(237*t + 122*t + 0*t) + 3*t**2 - 3*t**2 - 3*t**3 to the form l + p*t + u*t**2 + x*t**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + 2*r**2 + 3*r**2 + (4*r + 2*r - 3*r)*(-1 + 1 + r) - 3*r**2 - r**2 + 2*r**2 + 0*r**2 + 2*r**2 + 0*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -26\/25, -0.4, 8, 2\/55 in increasing order.\nAnswer: -26\/25, -0.4, 2\/55, 0.07, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2066*o**2 - 6202*o**2 + 2065*o**2 + 2070*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -183 and -32125164.\nAnswer: -32125347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from aaxmdnrm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*x**2 - 2\/5*x**3 + 0 + 2\/5*x + 2\/15*x**4.\nAnswer: 2*x*(x - 3)*(x - 1)*(x + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41568? (a) 0.16 (b) -5 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101042457.\nAnswer: 3, 83, 179, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -8. Let u be 0 - (27\/(-3) - o). What is the hundreds digit of (u\/((-49)\/(-102)))\/((-1)\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27999 and 1546533?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4740 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*d + 119*d - 980*d = 112*d - 56976 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 4 = -5*y - r, -3*y = r - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 611364 (base 7) to base 11\nAnswer: 70a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4441 less than -0.03?\nAnswer: 0.4141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3894*h - 3892*h + l = 11, h - 3*l + 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31.35*0.015\nAnswer: 0.47025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 2\/15939235, 4 in descending order.\nAnswer: 4, 2\/15939235, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1974.634 hours to milliseconds.\nAnswer: 7108682400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(11\/(-88)). Suppose -a*v + 10 = r, 0*r - 5*r + 35 = 5*v. Suppose -6 - 18 = r*h. Sort -7, h, 0.\nAnswer: -7, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141909863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -19875 at least as big as -19883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9338 + 6092. What are the prime factors of z?\nAnswer: 2, 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20100 (base 5) to base 10.\nAnswer: -1275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -67, -2, -4, 109, 3, 13 in increasing order.\nAnswer: -67, -4, -2, 2, 3, 13, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 5*h - 17*h. Suppose -3*x = -5*w + 1601, h*w - 2*x = 3*w + 961. What are the prime factors of w?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1632 = -377*d + 361*d. Which is smaller: 96 or d?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9071575 < 9071580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/4 + 3375*g**2\/2 + 40311*g\/4 - 45441.\nAnswer: 3*(g - 3)*(g + 9)*(g + 2244)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28892 bigger than 28892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2016130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15432 (base 6) in base 13?\nAnswer: -1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 10680336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0*b + 0 - 1\/15*b**5 + 1\/12*b**4 + 1\/120*b**6 + 4*b**2 + 0*b**3. Determine q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43203315 to the power of 1\/2, to the nearest integer?\nAnswer: 6573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 2. Let s(u) = -4*u**2 - 11. Let z(k) = 11*o(k) + 2*s(k). Let x(j) be the second derivative of -j**4\/12 - 34*j. Determine z(x(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 736, 4211, 13126, 30181, 58076, 99511, 157186?\n\"Answer: 450*v**3 + 20*v**2 + 265*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -434345 - 7?\nAnswer: -434351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 + 0.5648.\nAnswer: 0.6448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171332 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 599307529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*w + 17, -w - d + 13 = 4*w. What are the prime factors of (2 + -1)\/((-19422)\/(-9708) - w)?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*m = -253*m - j + 98, 0 = 5*m - 3*j - 154. What is the remainder when 1501 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 43. Calculate the remainder when 113 is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 66 - (-4 - (1 + -1)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Let r(h) be the second derivative of -7\/2*h**2 - h + 1\/2*h**3 + 0. Let p(l) = -2*l + 4. Give y*p(f) + 3*r(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 19*z**2 - 19*z - 11. Let t(b) = -9*b**2 + 9*b + 5. Let i(g) = 13*t(g) + 6*u(g). Suppose -6 = -p - 4. Suppose -4 = -0*d - p*d. Give i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**3 - 6*r**2 + 9*r - 9. Suppose 2*v + n = 3, -5*n - 3 = -4*v - 18. Suppose 37*o - 40*o + 12 = v. What is the hundreds digit of x(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58441*y**4 + 34*y - 229.\nAnswer: 701292*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/5 not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i**2 - 511972972*i + 511972972*i.\nAnswer: -123*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 1\/24*c**4 + 5\/336*c**8 + 0*c + 0*c**6 + 0*c**3 - 7*c**2 + 0*c**5 + 0*c**7 + 0. What is the second derivative of z(n) wrt n?\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77307 and 197319.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from dciixiiddizd.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -19*r - 30. Let s(f) = 10*f + 12. Let v(k) = -2*n(k) - 5*s(k). Suppose o - 10 = -o. Let w(m) = 5 + m - o. Calculate v(w(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82068 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {p: 2, o: 9, k: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 5*k**2 - 20*k - 101. Determine v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -1, 4, -145, 100, 3 in decreasing order.\nAnswer: 100, 4, 3, -1, -2, -6, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b6 + 3?\nAnswer: 6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 + 546561067?\nAnswer: 546561753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 9. Suppose 3*i - 64 = 17. Suppose 5*w - c + 43 = -3*c, 5*w + i = 2*c. Calculate o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30668 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -160\/3 in descending order.\nAnswer: 2, -5, -160\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4 + 27*g**3 - 1200*g**2 + 3276*g = 0. Calculate g.\nAnswer: -26, 0, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 1 + 3 + 1. Suppose -f - 3*t + p = -5*t, 4*t + 20 = -4*f. Let w be f*2*4\/(-8). Solve -g + 3*y + 1 = -3*g, w*g - 6 = -2*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20453079319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -57, -2, 58, -22.\nAnswer: -57, -22, -2, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7462 != 11\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/2*(-12)\/(-90). Let s = 6.31 + 0.89. Let a = s + -7. What is the biggest value in a, r, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(2 + sqrt(14)\/((sqrt(22)*1)\/sqrt(11)) + -3 + 4 + (sqrt(7) - (sqrt(21)\/sqrt(3) + 3))).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 1. Let a(q) = -4*q**2 - 48*q - 573. Let w(h) = -a(h) - 3*s(h). Factor w(z).\nAnswer: (z + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*2\/64*-12*20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 84*m + 81*m = -75, 0 = -i + 5*m - 13. Let h(a) be the second derivative of i*a + 0 - 3*a**2 + 7\/6*a**3 - 1\/12*a**4. Factor h(p).\nAnswer: -(p - 6)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tft when three letters picked without replacement from {t: 7, f: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*y + 372*y + 1353*y.\nAnswer: 1928*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 608169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -891 by -1.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 2, 68950, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -k + 4*k - 21, 4*k + u - 28 = 0. Suppose 62 = k*d - 8. Let a(h) = -h**2 + 11*h - 6. Let v be a(d). Solve -f = 3*w + 17, 0*f + 2*f + v = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 8808*o + 26388.\nAnswer: 4*(o + 3)*(o + 2199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01008876 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 250 - 252.9. Let d = k - -1.78. Round d to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 6*c + 0*c - 3 + c. Let b be q(-3). Solve -2*z - m = 3*m - 6, z + 4*m - 1 = b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 99 = 3*g, 0 = -2*g - v - 4*v + 89. What is the greatest common factor of g and 4181?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 187, 488, 907, 1444?\n\"Answer: 59*m**2 + 6*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in -4, 1, -5, -2, -1768?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/17))**(1\/54)*(r**(3\/2))**(-6) assuming r is positive.\nAnswer: r**(-4130\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 + 24 = 5*b, -3*b - 3*z + 27 = 0. Suppose 0 = 4*m - 2*m - b. Suppose -m*t = t - 508. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*a = 833*a + 58*a + 32352 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 11, -6 in decreasing order.\nAnswer: 16, 11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 6*t = -2. Let w(g) be the second derivative of 2*g + 0*g**t + 0*g**3 + 0 + 1\/6*g**4. Let b(f) = 4*f. Give b(w(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbwcrrwccbr. Give prob of picking 3 r and 1 w.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*q + 5*b, -3*q + 30 - 9 = b. Differentiate -10 - 12 - r**2 + q with respect to r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 5. Let w(s) be the third derivative of -s**4\/24 + s**3\/2 + 5*s**2. Give 3*v(m) - 5*w(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-1) + 30*(-1)\/6. Let j(q) = -4*q - 10. Let u(m) = -m - 1. Determine x*u(v) - j(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6114*o - 691. Is h(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13035581 and 1517.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9731 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25488, 50979, 76504, 102069, 127680?\n\"Answer: h**3 + 11*h**2 + 25451*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10092 + 84913. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-3) - -6)\/((-1)\/(-2)). Solve 4*h + 19 = d + 4*d, 3*d = j*h + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63754703 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -10. What is the closest to -2\/11 in y, 4\/3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94730820 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25770 is divided by 120.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 89*i**2 + 5*i - 18. List the prime factors of a(8).\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156850547 by -2.\nAnswer: -156850547\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77423077?\nAnswer: 77423077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*i. Suppose i*w + 8 + 4 = 0. What is the smallest value in w, -5, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35122578 - -65.\nAnswer: 65.35122578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*i - 42. Suppose i = 5*j - 50. What is the lowest common multiple of j and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 18*q - 52. Let d be x(21). Let g(z) = z**3 - 10*z**2 - 12*z + 15. Let u be g(d). Suppose -10 = -u*y - 58. Which is smaller: y or -45\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1236*u + 51456. Calculate g(42).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 + 18*t + 8. What is j(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.4 (c) -1246 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 19\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5230790579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.14 * 88.\nAnswer: -188.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (33 + 6)\/(6\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.578 - -4.580371. What is q rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -560293.5 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2666, -5330, -7994?\nAnswer: -10658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.4 (b) 0.4 (c) 5 (d) -8\/3 (e) -22.1 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000229119 rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 77. Calculate the remainder when (46\/(-6))\/(-1 - u\/(-18)) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 13.8. Which is the third biggest value? (a) -3 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100871833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 2*z - 10. Let u be g(6). Calculate the highest common factor of u and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670107281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 7*w**3\/6 - 3*w**2\/2 - w. Calculate the lowest common multiple of 14 and a(3).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3*-2 + (-42)\/(-9). Solve -3*b = -0*w - g*w, 21 = 3*b + 3*w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 - 53. Let n = s - 127\/3. Solve 1\/3*y - 1\/3*y**5 + 0 - 2\/3*y**4 + n*y**2 + 0*y**3 = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*p + 36, 2*p + p = -4*j + 26. Is p\/10 + 16\/(-10) - -6144 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245285, 247304, 249323, 251342?\nAnswer: 253361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9127, 9324, 9525, 9730, 9939, 10152, 10369?\nAnswer: 10590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 14 + 12*m**3 + 9 + 5.\nAnswer: 9*m**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144 a factor of 126693768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 43?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-126997.\nAnswer: -11429.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1371, -2741, -4111, -5481, -6851, -8221?\n\"Answer: -1370*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.18027?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 7*l = 8. Suppose -4*x = -w - 17, 27 = 4*w + l*x + x. Suppose 0 = -r + w*r - r. Is -0.1 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 3. Calculate the smallest common multiple of q and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.190267308 to five decimal places.\nAnswer: -0.19027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10266.\nAnswer: 2, 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2529*l - 8511*l + 24633 = -2960*l - 2539*l for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94 - 158038087637?\nAnswer: -158038087637.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxhhhzhhzszhsz. What is prob of sequence zhzx?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -300, -311, -326?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 12*d - 25. What is h(10)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 160 = -2*g + w, -2*g + 87 = -5*w. What is the remainder when g is divided by 14 + ((-29)\/9 - (-20)\/90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*k**3 + 9*k**3 + k**3)*(6 + 3 - 5 + (-1 + 0 - 2)*(-6 + 0 + 4) + 1 - 1 - 1).\nAnswer: 252*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - x = -41, -3*x = 2*d - 31 - 20. Suppose -2*f + 0*f + 29 = 3*w, -2*w + d = f. Solve -2*p + 1 = -w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 18 = -5*j. Let x = j + -9. Solve -3*n + n + 4 = x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5785745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**2 - 6*k - 3. Suppose -3*x - 2 = -4*x. What is the remainder when u(-5) is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*t + 36, -3*m = m - 5*t - 8. Suppose -m*z = -2*z - 10. Suppose 0 - z = -2*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4035.86612733 + -4.\nAnswer: -4039.86612733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184 - -189. Let f(u) be the first derivative of 0*u - 1\/2*u**2 + 0*u**l + 0*u**3 + 1\/6*u**6 + 3 + 0*u**4. Find the second derivative of f(i) wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 71*a - 143. Let q be s(33). What is the third derivative of y**2 - 13*y**6 - 7*y**6 + 18 - q*y**6 - 2*y**3 - 62*y**6 + y**2 wrt y?\nAnswer: -12480*y**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-40) - (-37)\/(-45). Let j = -3853\/1188 - 2\/297. Let m = -4 - j. Which is the closest to z? (a) 3\/2 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 94. Let u = -2.226 + 0.226. Which is the nearest to -2\/13? (a) -9 (b) -1\/2 (c) h (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3171294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2212*n + 2289*n = 3262721. List the prime factors of n.\nAnswer: 42373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 524 - 524.1. Which is bigger: 1\/33 or w?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1445\/4344 + -1\/1448. Is f smaller than 2073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484324 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srshhr. What is prob of sequence hh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/u**(5\/6)*u)*u*u**(-18\/5))**(-5))**(-36))**(6\/25) assuming u is positive.\nAnswer: u**(-4068\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 38*p - 9*p. Find v such that 11*v**5 - 185*v**3 + p*v**5 - 135*v**2 - 58 + 45*v + 58 + 15*v**4 = 0.\nAnswer: -3, -1, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -86, -96, -106, -116, -126?\n\"Answer: -10*s - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -368.89276.\nAnswer: -36.889276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(0 + -1)*-1. Find the first derivative of 7*r**2 - 7*r**2 + 6 + 6*r**q wrt r.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 8*j**2 - 1. Let i = -13 - -21. Let q be h(i). Let g be 0\/q - (4 + -10). Solve 2*m = g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1245 - 1239. Let o(m) = m**2 - 13*m + 39. What is o(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/175*2288\/(-54912)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28682 is divided by 376?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:47 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*r - 2\/7*r**2 + 0.\nAnswer: -2*r*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 6*r**2 - 3*r - 13. Suppose -16*l + 297 - 201 = 0. What is g(l)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -631\/9 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/3*(-2)\/2. Let d(v) = -3*v**2 - 4*v + 1. Let o be d(-1). Solve -k + 14 = k - o*q, -k - i = 3*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37500 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3935*c**3 + 7871*c**3 - 3934*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a - 502?\nAnswer: -58c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*v - 63 - 41, 4*v - 84 = 4*q. Suppose 6*m = 3*m. Solve j + l = -5, 2*l - 7*l - v = m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2910*m - 10667.\nAnswer: -2910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + 4*l**4 + l**4 + (9*l - l + 7*l)*(-l + l - 3*l**3) - l**2 - 2*l**4 + l**2 to the form g*l**2 + c*l**4 + o*l + t + y*l**3 and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 145 = -147*c + 32. Sort c, 8, -0.2, 12.1 in ascending order.\nAnswer: -0.2, c, 8, 12.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001273?\nAnswer: 7, 13, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49729359887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -49*z**2 - 35. Let k(m) = -4*m**2 - 3. What is -6*g(o) + 70*k(o)?\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 51*q**2 - 36*q + 801. Give o(-52).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1762514190378 and 265.\nAnswer: 1762514190643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 1 + 2, -3*o - 2*p = -53. Suppose -3*l - 153 = -6*l. Let j = l + o. Calculate the greatest common factor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*k + 11171 = -12050 - 6565 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 8*d**2 - 13*d + 16. Calculate the remainder when 174 is divided by g(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -19*u + 1. Let a(z) = 50735*z. What is a(b(d))?\nAnswer: -963965*d + 50735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c80616 (base 13) in base 5?\nAnswer: 4413334341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 + 53*s - 14. What is m(17)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqi when three letters picked without replacement from aiqmq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 2354*g**2 + 2 + 3 - 3 - 1512*g**2 - g.\nAnswer: -3866*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r. Let p(m) = m**2 + 2*m - 2. Let a(l) = l - 1. Let t = 12 + -19. Let h = -6 - t. Let u(s) = h*p(s) - 2*a(s). Calculate u(k(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/12 + 4\/(24*1). Suppose 3 + k = j. Solve -5*g - 3 = -j*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191 - -191. Solve g = 5*s - 15 + 35 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/33 - -28\/165. Is -1\/6 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*o + 1 + 18*o + 7*o + 7*o**2 + 2*o**3 + 2*o**4 in the form d + s*o**4 + b*o**3 + u*o**2 + r*o and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*z - 1 + 1 + 62*z**3 - 63*z**3 to c*z**3 + m + s*z**2 + r*z and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -0.04464?\nAnswer: 0.49104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, and 2 x when four letters picked without replacement from {t: 2, h: 4, w: 1, x: 6}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39427, -78779, -118133, -157489, -196847, -236207, -275569?\nAnswer: -314933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**3*q - 4*g**2*k - 67*g*k - 24603*k*q wrt g?\nAnswer: 9*g**2*q - 8*g*k - 67*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/120 and -97\/9432.\nAnswer: 47160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*0*6\/(-48). Let y(p) be the second derivative of -2*p**3\/3 - 5*p**2 - 25*p. Let j(q) = -5*q - 10. Let b(z) = 3*j(z) - 4*y(z). Determine b(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -11\/6*n**3 + 22*n + 6*n**2 + 0. Differentiate z(o) wrt o.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295206.7565 rounded to the nearest one hundred?\nAnswer: -295200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22*(-22 - 462\/(-24))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5920791.\nAnswer: 3, 1973597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 7*t. Let w(y) be the second derivative of y**4\/12 - y**3 + 12*y. What is -3*g(z) + 4*w(z)?\nAnswer: z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 337140 - -307?\nAnswer: 337447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 39*l - 27. Is h(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 2, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let m be n(-9). Suppose 3*r - m - 11 = -2*u, 3*r = 2*u - 59. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*b + 1010*b + 572 = 552*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*(-21)\/((-252)\/48)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3053 and 477601?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198.1400025239 + 198.14. What is y rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-55)\/22 - 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = 4*n + 14, -3*n - 20 = 2*t. Let a be 26\/(-8)*(-170958 - t). Let q = a - -1074419. What is q rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 6. Let s be f(0). Let p be 4\/(-26) - (-102)\/(-13). Let v = p + 3. Which is smaller: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67342559663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/((sqrt(180)\/sqrt(10))\/sqrt(6)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 128 = 5*i + z, -5*i + z = -122. Let b = -13 - -25. What is the highest common divisor of i and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:32 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3387777\/62 + -54643. Find the common denominator of 23\/42 and r.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 69*z**2 + 2 + 3*z**3 + 1209*z - 1209*z as y*z**3 + o*z + b + j*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 = 1. Suppose 5*u = -2*f + 15, -f + i = -2*u - 1. Let b be -2*u*(-1)\/(-12). What is the closest to -1\/3 in 0, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000633150842 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 264723024355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/36*21\/(-7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 9 + 6 + -16\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -285.54 - -0.54. Let y = w - -286. Let j = -0.2 + -0.2. What is the nearest to y in 0.4, -1, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqbq when four letters picked without replacement from qeeebiiqqqqbem?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114*d - 220 - 39*d - 97*d - 18 wrt d.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21634*b*y**3 + 2952*b*y**2 + 10*b + 2*y**3 wrt y.\nAnswer: 129804*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -36, -117, -272, -525?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 17 = -29, 3*a + 3*d = -3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*w + 1146 + 230, 3*n = -6. Find the third derivative of -2*m**2 - w + 10*m**5 + 460 wrt m.\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -461, -1706, -3743, -6554, -10121?\n\"Answer: 3*y**3 - 414*y**2 - 24*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 108 + 0 = 0. Let p = n + -51. Let q = 29 + p. Solve q = 5*g - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2893 * 5\nAnswer: -14465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 627.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = -2*v - 6, -5*c + 30 = -5*v. Let u(q) = 184*q**2 - 8*q + 1. Is u(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -286 (base 9) to base 8\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 - 890690 - 7*v + 890690 - 31*v in the form y*v**2 + s + i*v and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*v + 9 = 0, -703 + 704 = -2*x + 3*v for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2 + 96736*b - 96740 = 0.\nAnswer: -24185, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from xxxqqxxqxqqqqx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -116. Let b be (-2)\/4 + (-22)\/(-4). Suppose 5*l + 4*m - y = 0, b*l = 5*m - 0*m + 40. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0 - 4. Suppose -3*d + 9 = a + r*d, 4 = 4*d. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 22. What is the smallest common multiple of -4 + (-384)\/(-15) - (-3)\/(-5) and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4558*r + 4553*r + 5 = 0. Sort -4, -12, r, -3 in increasing order.\nAnswer: -12, -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 divided by -4?\nAnswer: -339\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 - (-1 + -10). Let x = 213 + -25. Is 14 a factor of (-2)\/3 + x\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5, j - 4*s + 2*s - 1809 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 + 198. Suppose -6*b + 187 = -5*n - 2*b, 3*b = -2*n - 84. Let z = n + o. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 60, 21 in ascending order.\nAnswer: -2, 2, 21, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (18 + -17 - (2 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2. Let o(h) be the second derivative of -4\/3*h**4 + 0 + 0*h**3 + 13*h + 0*h**2. Give l(o(v)).\nAnswer: -512*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 143046774817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2 + 0 + (sqrt(288) + 0 + sqrt(288))*-2 - ((3 + sqrt(288)*-3 + sqrt(288) - sqrt(288)) + 2))**2.\nAnswer: -120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -65?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (3 - 0))\/((-1)\/(-3)). Put 27\/5, 0.2, y, 1 in descending order.\nAnswer: 27\/5, y, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 479191 or 479021?\nAnswer: 479021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (2 + (-501)\/3). Let x be (-3)\/t + 2*1\/10. Sort 4, x, -0.7 in decreasing order.\nAnswer: 4, x, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11342 - -1.\nAnswer: -11341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, -3, 5, 7, -19 in descending order.\nAnswer: 7, 5, -2, -3, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**6\/60 + i**4\/4 - 2*i**3\/3 + i**2 + 2. Let l(n) be the second derivative of t(n). Find w such that l(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 422192, 1688906, 3800098, 6755768?\n\"Answer: 422239*t**2 - 3*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 400550 to the nearest 1000.\nAnswer: 401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/11187492 and 11\/11187492.\nAnswer: 11187492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 times 0.09?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 199*q**2 - 589*q - 204. What is l(-196)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -1, 1, 6, -19.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 3 in decreasing order.\nAnswer: 3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -182\/81? (a) -4 (b) 1\/8 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -31. Let y = t + 9. Let r = -19.9999964 + y. Round r to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/30*-19846 + 6\/(-9). Let h = p - -13296. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1739, -1740, -1741, -1742, -1743, -1744?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3656, -14673, -33042, -58769, -91860?\n\"Answer: -z**3 - 3670*z**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*k + 55. Let p be 11*1 + 12\/(-6). Let g = p + -7. Solve g*m = -0*m - k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11979 and 41019.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -4*r - 9, 2*i + 4*r - 11 = -17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 - 109. What is the greatest common divisor of 420 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from dyydydy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + 3 + s)*(5 - 5 - 7*s).\nAnswer: -7*s**2 - 63*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*b + 66, u - 3*b + b = 52. Suppose l - 37 = -2*x, -4*l = -2*x - u - 42. Suppose 4*m + 6 = 2*r, 3*m = 3*r - 6*r + l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 101*z**3 + 18*z**2 - 40*z - 20. Let p(q) = 201*q**3 + 35*q**2 - 77*q - 42. Let d(l) = 4*p(l) - 7*v(l). What is the second derivative of d(o) wrt o?\nAnswer: 582*o + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 6*b**2 - 7*b - 4. Let s be h(7). Sort 0, s, 5 in descending order.\nAnswer: 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 1)*((f**2 - 4*f**2 + 2*f**2)*(3 - 3 + f**3) + (-2*f**4 + 4*f**4 + 0*f**4)*(0 + 0 + f)) - 5*f**5 - f**5 + 3*f**5.\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -11. Let p = q + 16. Let x be (-1)\/3*(-14 + -1 + p). Solve 5*j - 4*v = 32, 0 = -v - x + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 1 + 0 + -1. Suppose -6*n - 59 = -9*n + d*u, 0 = -4*n + 3*u + 75. What is the greatest common factor of 15 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/39240334 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -44?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 2. Let n be l(3). Let f(i) = -i**3 - 6*i**2 + 4*i + 9. Let y be f(-8). Let w be 7\/y*-1*3. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**10\/7560 - u**9\/1890 - u**8\/1344 - u**7\/2520 + u**4\/24 - 4*u**2. Let v(a) be the second derivative of n(a). Factor v(j).\nAnswer: -j**2*(j + 1)*(2*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -159. Let v = -252 + b. Let m = 127.99769 + v. Round m to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 624\/5. Put -1, x, 5 in increasing order.\nAnswer: -1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 + 168. Suppose -u + 29 = -2*i, u = n*u - 3*i - 31. What is the greatest common divisor of 10 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 8583 - 25*p + 36*p.\nAnswer: 2*p + 8583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 2 + 4)*(2*t - 4*t + 4*t) + 2*t - 5*t + t)*(-t**3 + 2*t + t**2 - t**2).\nAnswer: 8*t**4 - 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f - 2. Let n be k(-1). Suppose -j + 60 = n*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.126 (b) 1\/39 (c) 3 (d) 66 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13d (base 15) to base 11\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(80)*-2 - ((sqrt(80) - (sqrt(80) - (5 + sqrt(80) + -1))) + sqrt(80))))**2 + 4.\nAnswer: 192*sqrt(5) + 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15066 (base 7) to base 2\nAnswer: 1000001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86515 and 1431430.\nAnswer: 15745730","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: ((-525)\/200)\/((-51)\/(-544))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, 5, 53, 151, 317, 569?\n\"Answer: 3*h**3 - 2*h**2 + h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-2)\/(-36)*(-1)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 2*i**3\/3 - 13*i. Determine v(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 50.924. Let h = 7.076 + o. Let k = -3 + 2. Which is the closest to k? (a) 2\/3 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 277 in descending order.\nAnswer: 277, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 598476831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**43*v**24*v)\/(v**16*v*v*v)**49 assuming v is positive.\nAnswer: v**(-863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -v + q + 1, 1 = v - 5*q. Let s = -73 - -106. Let z = 38 - s. What is the smallest value in v, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.79477 rounded to one dp?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let i be t(3). Let q(o) = -20 - 17 + 3*o + 45 + 3*o**2 - 14. Let h(c) = 4*c**2 + 4*c - 7. Calculate i*q(n) - 5*h(n).\nAnswer: -2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5. What is the closest to -2 in -1\/5, u, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98608 + 102133.47. Let w = z - 3544. What is w rounded to one decimal place?\nAnswer: -18.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 11. Let b be 204\/32 + (-3)\/y. Let g(t) = b*t + t - 12*t + 0*t. Let p(d) = 5*d. Give g(p(k)).\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*m + 2*x - 30, -3*x - 3 = 4*m. Let l(t) = 9*t + 54. Let r be l(-6). Sort -5, m, r.\nAnswer: -5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 2*d - 7. Let v be p(5). Suppose 8*c - 6*c = v. Calculate the least common multiple of 8 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -12837?\nAnswer: -6\/4279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/32)\/(1\/16). Suppose 2*h + x = w, -w + h = -2*w + 9. What is the smallest common multiple of w and 2\/(-3) - 52\/(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(4\/(-74) - (-7532)\/43512)*6\/(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 94 = -2*h, 4*h + b = 4*b + 186. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2227095 by 27495.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -52162 divided by 2?\nAnswer: -26081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 1 + 1)*(2*d - 11*d - 20*d)*(d**2 - 4*d + 4*d) - d**5 - d**5 + d**5 + (-3 + 3 - d**2)*(-6*d**3 + 4*d**3 - 8*d**3).\nAnswer: -20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0 + (0 - 2 + 3)*(3 - 4 + 2) + 2 - 5 + 0 - 39 + 8 + 77)*(-18 - 19*c + 18) in the form f + s*c and give s.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183548*i**2 + 421996*i wrt i?\nAnswer: 367096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 1\/12, -18 in decreasing order.\nAnswer: 1, 1\/12, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 986960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 18 = 112*f - 210*f + 97*f, -6*f + 108 = -3*o for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -804, -3218, -7262, -12942, -20264?\nAnswer: -29234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6996924 by -44.\nAnswer: 159021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/5)\/(j*j**7*j*j*j)*j**1*j**(2\/5) assuming j is positive.\nAnswer: j**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 51, 114, 203, 318, 459?\n\"Answer: 13*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -183656 times 17?\nAnswer: -3122152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4625 (base 7) in base 11?\nAnswer: -12a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 512*k**3 + 6*k**2 - 102*k - 218. What is m(-2)?\nAnswer: -4086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**5\/20 + p**4\/2 + 5*p**3\/2 - 50*p**2 + 10*p - 8. Factor b(o).\nAnswer: -(o - 5)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q - g = 7, -5*g = 15. Let a be 2\/2*(q + -18). Let y = a - -24. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15913 + -10926. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*h. Let j(p) = 0 - 2 + h*p - 2 + p. What is j(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/6))**(-2\/19) assuming u is positive.\nAnswer: u**(1\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-3)\/(-18))\/(2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 217\/3. Let n = -28\/3 - -115\/12. What is the biggest value in q, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -17.62. Let d = -0.5 + -1.12. Let g = d - w. Which is the closest to -1? (a) -1\/5 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60452 is divided by 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 (base 10) in base 5?\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -36*q**3 - 58. Let a(g) = 6*g**2 - 19*g + 10. Let d be a(4). Let i(t) = t**3. Let w(b) = d*i(b) - 3*c(b). What is the derivative of w(r) wrt r?\nAnswer: 414*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -57*r - 5532. Suppose 3*u = -13 + 34. Calculate the smallest common multiple of u and k(-98).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/42 and 51\/3122?\nAnswer: 9366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-224)\/(-6) - 11\/33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1.2. Put 3, s, 2\/5 in decreasing order.\nAnswer: 3, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:51 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(((-30)\/(-4))\/(-5)). Let z be ((-10)\/4 + -5)*j\/(-6). Suppose -1 = z*x - 1. Solve -4*n + 5*b - 19 = x, -12 = 4*n - 3*b + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = l + 4*h, -4*l + 2*h - 3*h = -1182. Let s = -36 - -67. What is the remainder when l is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 4\/3, 91, -0.4, -4\/17?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249911699 to the power of 1\/3, to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**3*t**2 + r**3*t*v - 5*r**3*v - 87*r**2 - 9*r*t**2*v + 2*t**2*v wrt r?\nAnswer: 6*t**2 + 6*t*v - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15310*v**3 - 15305*v**3 - 15307*v**3 - 15302*v**3 - 15301*v**3 - 15304*v**3 + 91830*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u**3 - 10*u**2. Suppose -3*h - 3 = -6*h. Let w be (2\/4)\/((-3)\/36). Let c be (10\/w)\/((-3)\/18). Let t(g) = -g**3 + g**2. What is c*t(p) + h*f(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1263*m**2 - 625*m**2 - 605*m**2.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150292?\nAnswer: 2, 3, 29, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.26 - 20.2. Round c to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2*t - 32302*l**2 + 2*l*t + 546984*t - 53 wrt t.\nAnswer: 2*l**2 + 2*l + 546984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -1\/3*z**3 + 0 + 9*z + 0*z**4 + 0*z**2 - 7\/20*z**5. What is the second derivative of x(t) wrt t?\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 5*n + 9. Let b be w(-9). Suppose -r = 2*r - b. Let v be (r + 1)\/(-1) + 2. What is v rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/10 - (-8 - 6))\/(-8).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - l)*(3 - 2 + 1) + 3494*l - 2573 - 1754*l - 1739*l.\nAnswer: -l - 2573","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 + 87. Sort 12\/11, 5\/2, -5, n in descending order.\nAnswer: 5\/2, 12\/11, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 498432 and 25776?\nAnswer: 267657984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/10)*v)**22\/(v**(-19))**(5\/6))**(-39) assuming v is positive.\nAnswer: v**(-22477\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 z when three letters picked without replacement from {v: 4, f: 1, r: 7, z: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 0.1088, 875\/4?\nAnswer: 875\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12924 = -26932832*d + 26932473*d for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 50. Which is the closest to -1? (a) 4 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 19875*i - 659142.\nAnswer: 3*(i - 33)*(i + 6658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/18)\/((-4)\/9). Let h = -7 - x. Is h >= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67122 and 2970?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-3) + (-1 - -52). Suppose 3*r - 6*r - 2*a + b = 0, 0 = 3*r - 3*a - 39. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -50, 51, -5 in decreasing order.\nAnswer: 51, 5, 2, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 153158292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.426 - 33.93006?\nAnswer: -73.35606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17851764?\nAnswer: 2, 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = u + 2*u. Calculate the remainder when 55 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -19, -35, -69, -127, -215, -339?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282628399254 = 2*b - 3*b. Let a = b + 217903669542348439\/770990. Let j = a + -2\/35045. Calculate the common denominator of 69\/4 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 646*v - v**2 + 650*v + 2*v**3 + 4 + (-18*v**2 - 521*v + 521*v)*(3*v - 4*v + 3*v) as o*v + u + k*v**2 + s*v**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:41 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4795*d - 2 + 4795*d + 2 + 134*d**2.\nAnswer: 134*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 204675761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43928, 87853, 131778, 175703, 219628?\nAnswer: 263553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 29*p - 32. Let t = -326 + 343. What is the hundreds digit of a(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -485 - -182?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052 not equal to 5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 139. Is l(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1996 and 1994 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 780 and 6 - 11\/((-154)\/2828)?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjjdqjjjgqd. Give prob of picking 1 d, 1 g, and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/8*-2*(-4)\/(-350). Put k, -1\/3, 0.2 in descending order.\nAnswer: 0.2, k, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49394 is divided by 4025?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12840*a**4 - 2*a**3 - 8*a**2 - 6265286*a?\nAnswer: 154080*a**2 - 12*a - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 - (-5 + -2 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -24\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6 = -30. Let y be (-12)\/10*80\/l. What is the least common multiple of 6*(128\/(-12))\/y and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)*(y*y\/y**8)\/y)**(25\/4) assuming y is positive.\nAnswer: y**(-375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/4 + u**3 + 3. Let d be v(3). Let -4*o**4 - 2*o**5 + d*o**5 + 4*o**5 + 2*o**3 + 0*o**4 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(114)\/sqrt(6) + sqrt(19) - (sqrt(1900)*3 - sqrt(1900) - sqrt(19)))**2.\nAnswer: 68*sqrt(19) + 5495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-12)*m*m*m)\/m)\/m**(-1\/23))\/(m**(16\/5)*m*(m\/(m*m**(-10)))\/m) assuming m is positive.\nAnswer: m**(-2548\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*l = -10, 0 = -9*p + 5*p - 4*l + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2831 + -3.\nAnswer: 2828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/13, -0.2, 8 in descending order.\nAnswer: 8, 1\/13, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 7:33 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 1, b: 4, f: 3, u: 10}. Give prob of sequence fu.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400) - 3*sqrt(1400) - sqrt(1400)) + sqrt(56) + (sqrt(5600) - (-1*sqrt(5600) - sqrt(5600) - sqrt(5600))) + sqrt(56))\/(5*-4*-6*sqrt(72)).\nAnswer: 3*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*o - 21. Suppose 0 = 175*h - 178*h + 3. Let j be (2*h\/(-4))\/(o + 17). What is the nearest to -6 in j, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(16))**2 + (sqrt(171) + -3)**2.\nAnswer: -18*sqrt(19) + 739\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 3}. Give prob of picking 2 q and 1 f.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/48)\/(2\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8151 and 494.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139767546 divided by -10?\nAnswer: -69883773\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-60))\/1)\/(24\/(-15) + 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011120 (base 3) to base 7.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 1429*v + 1429*v. Let f(x) = -x**2 - 6. Let s(j) = 1. Let l(u) = -f(u) - 6*s(u). Determine l(r(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(-2\/3))**(2\/3) assuming k is positive.\nAnswer: k**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 10*n - 17. Let v be o(7). Suppose -t + 9 = v*d - 6, d = -4*t. Solve 0 = 2*i + 2*x - d*x + 12, 4*x - 18 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-27) - (-12)\/54. Sort -2, 5, c in decreasing order.\nAnswer: 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423291 less than -29.545?\nAnswer: -423320.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-162 - -137) + (1 - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41677 + 41676.869994. Let g = 0.13 + y. Round g to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrow when four letters picked without replacement from {w: 1, l: 2, c: 2, r: 1, o: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 14*c**2 + 26*c - 19. Let v be f(12). Let u(h) = 5 - 6622*h + 3310*h + 3308*h + 6 - 3. Give u(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 117608, 117607, 117606, 117605, 117604, 117603?\n\"Answer: -d + 117609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from yfyeyydeefedffy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:34 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -157*c - 5. Let g(z) = -158*z - 6. Let o(p) = 4*g(p) - 5*i(p). Let n be o(1). Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, s: 4}. Give prob of picking 4 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*d - 65 = 0, -119 = 2*i - d + 2. Suppose 2*c + 3*j = 234, 2*c - 5*j - 70 - 132 = 0. Let l = c + i. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-24)*h*h)\/h*h**12)**(3\/14))**(-1\/6) assuming h is positive.\nAnswer: h**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*-5*41469\/(-2404).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyxyw. Give prob of sequence wx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let f = -6 - -8. Suppose -2*j = -h, -f*j = 5*h - 7*j - 5. Let t(a) = -a + a + 0*a + h*a. Give z(t(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**2*m**2*z + 274124*j**2*m*z - j*m**2 - 13*j*z - 2*m**2*z + 3*m**2 - 182*z wrt j?\nAnswer: -26*m**2*z + 548248*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10793\/235 + -135\/47. Which is bigger: -50 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 29. Let n(b) be the first derivative of 3*b**2\/2 - 3*b + 3. Let r be n(5). Let z be m(r). Solve 0 = 3*y - 8 + z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19142 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1759, -5, 10 in increasing order.\nAnswer: -5, 10, 1759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-140)*50\/(-75)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 26 = 4*n - 204, 0 = -n + 5*c + 31. Let j = -26 + n. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - b**2 + 16*b**3 + 23 - 34 + 6*b**3 + 2*b**3 as j*b**2 + v*b**3 + n*b + a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*9\/3)\/(55*61\/11407).\nAnswer: 102\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 328125*x - 11. Let m(w) = -77*w**2. What is a(m(r))?\nAnswer: -25265625*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*r + 2 + 68 = 0, -5*g - 2*r + 213 = 0. Put -2, 2, g in ascending order.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 22093512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*r + 5*j, -5*j = 5*r - 10 - 0. Solve 3*l - 2*c = 5, 5*c - 2 - r = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/701480 and -77\/240.\nAnswer: 4208880","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**3 + 2*c**2 - 9*c + 6. Let o(a) = -3*a**3 - a**2 + 4*a - 3. Give -6*m(g) - 13*o(g).\nAnswer: -3*g**3 + g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x**2\/x)))\/x**2)**(8\/9)\/((((x*x\/x**(-1\/4)*x)\/x)\/(x*x**(-4)\/x*x))\/(x**4*x**(4\/5))) assuming x is positive.\nAnswer: x**(-401\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -0.01, -0.04, 2.\nAnswer: -0.2, -0.04, -0.01, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -117 + 101. Let c(t) = -t**3 - 12*t**2 - 13*t - 15. Let n be c(-11). Solve n*p + 12 = d*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 50 - 7*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 426.6 - 379. Let p = w + -130.6. Is p <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 9. Let b be z(-7). Suppose -r + 420 = b*r. Suppose 17*h + 280 = 22*h. Calculate the greatest common divisor of h and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, 0, -4, 19.\nAnswer: -4, -2, 0, 18, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -14*i - 33*i + 10*i - 26 + 6. Let p be w(-8). Suppose -5*n - p = -8*n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 > 11.1596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + 220\/99.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -136300, 19, -14 in decreasing order.\nAnswer: 19, -14, -136300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6436 (base 11) in base 12?\nAnswer: -4b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1944 = f + 7*f. Let s = f + -1463\/6. Calculate the common denominator of s and 57\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-468)\/1248 + (-89)\/(-24) - (0 - -1).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**2 - 5*c + 5. Let x(h) be the third derivative of -1\/3*h**4 + 0*h + 7\/30*h**5 + 2*h**2 + 4\/3*h**3 + 0. Calculate 8*q(m) - 5*x(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b2371 - -136?\nAnswer: 1b24a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 0*r**3 + 0*r - 1\/15*r**5 + r**2 + 0 + 1\/24*r**4. What is the second derivative of t(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**7\/28 + i**4\/12 + 31*i**3\/6 + 217*i. Let f(w) be the third derivative of l(w). Let m(z) = -5*z. What is f(m(r))?\nAnswer: 2250*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342741 - -163741. Round y to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 8\/5, -3, -5, 0.6, -0.2378?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 + -112. Suppose -5*x = 2*k - 8261, -g*x - 2 = -3*x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-6 - (sqrt(55) + sqrt(55)*2)\/sqrt(5))**2.\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30413 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: 43 + -20 + 36 + (9 - 26) + 1\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8203959, 8203958, 8203957, 8203956?\nAnswer: 8203955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-15)*c*c**(15\/2)\/c*c**(-14)*c*c\/(c**(-3)\/c) assuming c is positive.\nAnswer: c**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70866 and 5317236.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4\/4 + 4*a**3 + 7*a**2\/2 + 13*a - 9. Is w(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 364, -1, 74 in increasing order.\nAnswer: -1, 74, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5, 9*b + 964 = 3*h + 7*b. What is the remainder when h is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1174560 and 381732?\nAnswer: 15269280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**6\/24 + a**4\/24 + 37*a**2. Let d(x) = -3*x**3 + x. Calculate -7*d(y) + 5*u(y).\nAnswer: -4*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 116048 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/25 - 98\/80.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110110*w**3 + 157*w**2 + 2*w - 10450333 with respect to w.\nAnswer: -330330*w**2 + 314*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d - 2*v = -6852, -2*d = 4*v - 2744. List the prime factors of d.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(125)*-6*4 + (sqrt(125) + -1*sqrt(125) + 1 - (sqrt(125) + -6*-1*sqrt(125))))**2*1.\nAnswer: 2460*sqrt(5) + 1260756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m, -k = 2*m - 6*m - 16. Let u(w) = 1 + k + 3*w**2 - 4 + 1 + 5*w. Does 46 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 3*u + 1, -2*u + 4 = 5*q - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110040*a**3*d**2 + 63*a**2*d**2 + a*d**2 + 35*a*d - a wrt a.\nAnswer: 660240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 547*h**6 - 2*h**2 - 156*h - 6 wrt h.\nAnswer: 65640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 152*g**2 + 14*g - 1. Let j be 4\/26 - 7\/91*-63. Is m(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2006445 divided by -6\nAnswer: 668815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjljmulx. Give prob of picking 1 m and 2 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + (sqrt(567) - (-1 + sqrt(567))) - sqrt(567))*-5.\nAnswer: 23 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -28*q + 16*q. What is the least common multiple of q and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/70 - (-17)\/(-136). Let p(f) be the third derivative of 1\/7*f**3 + 1\/56*f**4 + 0*f - 1\/70*f**5 + 9*f**2 + 0 - j*f**6. Factor p(q).\nAnswer: -3*(q - 1)*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 - -54) + (-1 - 10) + (-11 - -77)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1193*i + 14309. Let j be z(12). Put j, -2, 288 in decreasing order.\nAnswer: 288, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56898.\nAnswer: 2, 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 + 8*g**2 - 7*g - 6. Suppose -19 = 2*d - 4*b - 1, d - 3 = -2*b. Let r be x(d). Solve 0 = 3*k + 9 + r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 2\/9 (c) 165.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 + 33*k - 102. What is j(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 - -187. Calculate the greatest common divisor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - a + 4*a + (1 - 4 + 1)*(0*a - a + 0*a) + 18*a + 64 + 71 - 137.\nAnswer: 22*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 12) + (25 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-943)\/(-82) - ((-114)\/76)\/((-3)\/(-5))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-54))\/(4\/114). Let c = 77 + -41. Let r = -17 + c. Calculate the highest common divisor of r and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 3. Let q = -8 + x. Let v(c) = c + 6 - 3 - 2*c. Determine v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/(-10))\/((-1010)\/(-101)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/22, -10 in ascending order.\nAnswer: -10, -2\/7, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4859.89 litres to millilitres.\nAnswer: 4859890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (1 + (-54 - -30)) - 45.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozz when three letters picked without replacement from {o: 7, z: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -7. Let z be ((-18)\/(-12))\/((-10)\/m). Which is the closest to -2\/5? (a) z (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2453*d. Let y(b) = 22*b**2 - 42*b - 7. Let s(r) = 6*r**2 - 12*r - 2. Let t(c) = 7*s(c) - 2*y(c). Determine n(t(p)).\nAnswer: 4906*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**2 - 35*m + 0*m**2 + 9*m**2 + 2*m + 2*m in the form p*m**2 + l*m + s and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*j**3 + 741 with respect to j.\nAnswer: -513*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + (sqrt(153)*1*-5)\/((2*sqrt(99) + sqrt(99))\/sqrt(11))))**2.\nAnswer: -120*sqrt(17) + 1736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/7 - 3230*d\/7 - 12888\/7 = 0.\nAnswer: -1611, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51718465787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1584\/704*1\/((-3)\/2) + -152?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + ((-6 - -25) + -4 - 11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 9 (c) 1\/4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/9099 and -28\/459.\nAnswer: 154683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 8*i + 4. Let k = -12 - -15. Let c be x(k). Solve -2*z + c = 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*n**3 - 20096*n**2 + 20096*n**2)*(-4*n**2 + 4*n**2 + 2*n**2).\nAnswer: 126*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 598 and 18124.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 321431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 6. Let c(p) = 222*p - 2865. Let q be c(13). Let a(o) = -1. Give q*a(s) - 3*n(s).\nAnswer: 12*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3604847 (base 9) to base 5\nAnswer: 444432344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5\/3 + 5*n**4 + 16*n**3\/3 = 0. Calculate n.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -681 + 684. Is (c - 7 - (-6 + 5)) + 20836 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2532002 + 1?\nAnswer: -2532001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 12. Let r be z(-4). Is 26 a factor of r*208\/(-6)*6\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 30 = 4*v + 5*y, 5*y - 15 = 2*v. Sort 16, v, 1 in decreasing order.\nAnswer: 16, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/18*3)\/(5\/(-10)). Let d(p) be the first derivative of 0*p**3 - 3\/5*p**o - 6 + 10*p + 0*p**4 + 0*p**2. What is the first derivative of d(w) wrt w?\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let a(i) = i - 2. Let t be a(7). Sort t, -5, c.\nAnswer: -5, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + 0 + sqrt(1539) + sqrt(304) + (sqrt(304) - 1*sqrt(304)))**2 - 2*sqrt(171)*-5*-2.\nAnswer: -60*sqrt(19) + 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 17*m**4\/24 + 11*m**3\/6 + 5*m**2. Let t(d) = 6*d + 4. Let u be ((-2)\/(-6))\/((-1)\/33). Give u*t(x) + 4*a(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0240569 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/3 + 6236*n - 149536\/3 = 0.\nAnswer: 8, 9346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000323586124 to 7 decimal places.\nAnswer: -0.0000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h = 100*h + 67*h - 31*h - 8624 for h.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -55. Let v = w + -2. What are the prime factors of 1\/2 - v\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -73, 1, -5, 76 in increasing order.\nAnswer: -73, -5, -1, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/21, 5, -2, 0.1, -1\/3, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 - 7 = 0. Suppose 7*f - h*p - 185 = 2*f, f + 3*p - 17 = 0. Calculate the highest common factor of f and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -fb530?\nAnswer: fb52c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 2. Let y(w) = 2*w + 3. Let j(m) = -6*s(m) + 4*y(m). Let h(n) = -32*n. Calculate h(j(z)).\nAnswer: 128*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5) - 12608\/(-210). Let a = q - 182\/3. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -3*i, -2 + 4 = 5*i - 2*d. Suppose -3*p - i + 8 = 0, -3*p + 25 = k. Suppose -2 = -3*y + k. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 419*s = 417*s + 30, 0 = -4*q - 4*s - 52 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = -6. Let v be ((-4)\/x - -3) + 5. Let b(s) = -s**2 + 8*s - 7. Determine b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let c be 72\/16*4\/3. Let j(p) = p - 16*p - c*p - 3*p. Calculate x(j(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 7*u**2 - 6*u + 2. Calculate the least common multiple of 12 and n(4).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0 + (sqrt(11) - -1*sqrt(11)) - sqrt(11))**2 + (-1*sqrt(1584))**2.\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahxaxxxxxxha. What is prob of picking 2 h?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 161 = -5*l + 1129, q = 5*l - 227. Let s = -117 - q. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 2. Let u be (3 + g)\/(2\/(-1)). Let v = -28 - -85\/3. Is v less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19402 is divided by 4837?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580, -2345, -5288, -9409, -14708, -21185?\nAnswer: -28840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*t**3 + 2691088*t + 40588676.\nAnswer: 12*t**2 + 2691088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v + 3*v)*(1 + 9 - 8)*(-5 - 18 - 4).\nAnswer: 108*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 5*r**4 - r**4 - 3*r**4)*(-36 - 84 - 129)*(3 - 3 + 1).\nAnswer: -249*r**4 + 498*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2492 + 6725 + 857)*(-3*u**4 + 2*u**4 - u**4).\nAnswer: -10180*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 2)*(-4*u**3 + 4*u**3 - u**3) + (5*u**2 + 0 + 0)*(-5 + 7 + u - 5) in the form y*u**2 + m*u**3 + i + n*u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/30*(2600\/(-100) + 3291\/126).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36194, 145514, 327714, 582794, 910754?\n\"Answer: 36440*v**2 - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2721\/20 + -136. Let x(z) be the third derivative of c*z**5 + 0 + 0*z + 0*z**4 + 1\/3*z**3 + 3*z**2. What is the derivative of x(i) wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*d + 28, c + 4 = -c - 3*d. Sort c, -4, 2, 9 in descending order.\nAnswer: 9, c, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 617 + 195 + 579 + 1873*s**2 - 121 wrt s.\nAnswer: 3746*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (13 - -46 - 56).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*n + 5, k + n + 402 - 405 = 0. Let f(l) = l + 5. Let j be f(-4). Let b be 2\/9 - j\/3. Is k > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**4\/4 - n**3\/2 - 3*n**2 + 111*n. Solve u(t) = 0 for t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121.4 + 121. Let u(p) = -2*p + 2. Let w be u(-2). Let t be (9\/w)\/(18\/(-3)). Sort 0.4, t, y in descending order.\nAnswer: 0.4, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**3 + 10*g**2 - 2*g - 5. Let i(w) = -14*w**3 - 29*w**2 + 6*w + 16. Let a be (-8)\/(-2) + 4 + -4. Let d(f) = a*i(f) + 11*c(f). Determine d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 261\nAnswer: 4\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -74.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 38*x**2. Let a(v) = -v - 1. Let r(q) = 7*q + 1. Let p(d) = a(d) + r(d). Calculate m(p(o)).\nAnswer: 1368*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41981744 and 0.3.\nAnswer: 12594523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -8*h + 2*l, -l - 647 + 660 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 124806, 124804, 124802, 124800?\n\"Answer: -2*k + 124808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -5*z**4\/24 - z**3\/3 + z**2 - 3. Let f(n) be the second derivative of p(n). What are the prime factors of f(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 35 - (1 + -33 + 23)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14193678*m + 14193683. What is b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3*t**2 + 9079*c**3 + 131*t**2 wrt t?\nAnswer: -2*c**3*t + 262*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148995326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 24*d + 260. Let a be y(-32). Let t = -5 - -8. Solve -t*o = -5*u - a*o - 23, -o = 2*u + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (-51)\/15) + (-1722)\/(-420). Is -65 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*34\/(-68)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 2509 + 2301. What is the remainder when 7484 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.784 - 0.116. Let u = -5.9 - m. Which is the fourth biggest value? (a) 4\/7 (b) u (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let d(c) be the first derivative of 15*c**2 - c + 37. Give d(m(w)).\nAnswer: -30*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(5221\/1362)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513552 = -104*f + 150800. What are the prime factors of f?\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 24*t**3 + 4*t**2 - 2. Let i(n) = 48*n**3 + 9*n**2 + n - 5. Let g(y) = -2*i(y) + 5*q(y). What is the smallest common multiple of g(1) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -938911 or -938910?\nAnswer: -938911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54431266?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -548, -1821, -3966, -7001, -10944, -15813, -21626?\nAnswer: -28401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327644, 327667, 327712, 327785, 327892, 328039?\nAnswer: 328232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186151728, -186151726, -186151724, -186151722, -186151720, -186151718?\nAnswer: -186151716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1212 and 1211 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v. Let z be 4\/(-3)*(-42)\/28. Let k(b) = 14*b**2 - 7*b**2 - 4*b**z. Give q(k(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -2*l**3\/9 - 54*l**2 - 3040*l\/3 - 11854. Factor f(b).\nAnswer: -2*(b + 10)*(b + 152)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 35. Determine v(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4 + 3 - y - 1. Let d = -12 - -17. Suppose d*a = a. What is b(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 26*m**2. Let q(o) = -53*o. Calculate a(q(i)).\nAnswer: 73034*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 0)*(-3)\/(-1). Let h = -11 - -16. Let t = -14 - -14. Which is the nearest to t? (a) w (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -15665630.\nAnswer: 3\/15665630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -551081 (base 9) to base 2.\nAnswer: -1010000010010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -84644729\nAnswer: -2\/84644729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -16, 2, -21, -37 in descending order.\nAnswer: 4, 2, -3, -16, -21, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/44513 or -1\/134?\nAnswer: -1\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13619472 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b + 0 + 2\/105*b**7 + 0*b**3 + 2\/15*b**5 + 0*b**6 + 0*b**4 + b**2. Find the third derivative of n(d) wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000947565643 to 6 dps.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 231, -9 in descending order.\nAnswer: 231, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 1:24 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1200)\/(-560))\/((-66)\/(-28))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1081300 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/19))**(-2\/7)*y*y*y*y**(-2\/7)*y*y*y\/((y**39\/y)\/y)*y*y)**(2\/105) assuming y is positive.\nAnswer: y**(-7786\/13965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 0*a**3 + 5*a**4 - 201*a**2 - 3*a**4 + 200*a**2 - 2 - a**3 to the form f*a**3 + j*a**2 + k + h*a**4 + y*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*n**3 - 199*n**2 - 520*n**2 + 1 + 9 - 10.\nAnswer: -63*n**3 - 719*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 - 4157*p**3 + 74342*p**2 + 662624*p - 1589376 = 0. What is p?\nAnswer: -8, 2, 24, 4139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78870 - 8675759\/110. Let f = 3\/22 + x. Which is the third biggest value? (a) -1\/8 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 12:03 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -541400 to the nearest ten thousand.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -971779, -971780, -971791, -971818, -971867, -971944?\nAnswer: -972055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2583 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9724185 to the power of 1\/2, to the nearest integer?\nAnswer: 3118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 2. Calculate the remainder when w(2) is divided by ((-24)\/28)\/(6\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 0, 77, -2, -7 in ascending order.\nAnswer: -7, -2, 0, 36, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -223 (c) -1.1 (d) 2 (e) -3 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/5, 2\/29, 7, -6, -1\/4, -8 in decreasing order.\nAnswer: 7, 4\/5, 2\/29, -1\/4, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*f - 5*n, 43*n = 41*n - 6. Suppose 37*r + 126708 = f*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 6. Suppose 0 = m - 2 - 4. Let x(f) = f + 5. Let u(v) = m*l(v) - 5*x(v). Let p be u(-5). Solve 5 = p*r - r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346006823?\nAnswer: 61, 2341, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**4 + 5*y**4 + y**5 + (6*y - y - 3*y)*(y**4 - y**4 - y**4) + (-2 + 6 - 2)*(-3*y**2 + 2*y**5 + 3*y**2) + y**5 + 26*y + 22*y - 45*y.\nAnswer: 4*y**5 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Suppose 0 = -2*b - 4*o + 2, -b + 3*o - o + 9 = f. Let j = 9 - 5. Which is greater: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 594*o**2 - 4944*o.\nAnswer: 3*o*(o - 8)*(o + 206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5\/4 - 61889211*b**4\/2 - 247556829*b**3\/2 - 185667618*b**2 - 495113643*b\/4 - 61889205\/2.\nAnswer: -3*(b + 1)**4*(b + 41259470)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 32 = 4*t, 5*t + 5 = 6*t + 2*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 7894139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -7\/8 (b) 2 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -5?\nAnswer: -154\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**4 + 452*l**2 + 26*l - 64711?\nAnswer: -8*l**3 + 904*l + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -89b0 (base 13) in base 6?\nAnswer: -225024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -450 - 122 - 2*n**2 - 79 + 75 to r*n + h + q*n**2 and give h.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2 (c) 1.3687 (d) 6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -562 - -670. Calculate the common denominator of (6*(-9)\/z)\/((-5)\/21) and 67\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147953373?\nAnswer: 3, 49317791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 52\/16 - 4. Let h = -0.18 + -1.02. Let v = h + 0.8. Which is the nearest to v? (a) z (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46791725801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4252279\nAnswer: -3\/4252279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-6) - -7)*(-16)\/(-12). Solve 3*i = 3*x - t, -47*x - 34 = -52*x - i for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/4*(-6)\/27.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 13*r**2 + 6*r + 4. Let s(o) = 14*o**2 + 7*o + 5. Let b(f) = -5*s(f) + 6*w(f). Let i be b(-2). Let l = i + 3. Solve 12 = 4*x + l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4365905757 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -407\/14 - -57\/2. What is the closest to 124 in w, -2\/7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.9819 + -0.0181. Let x(b) = -b**3 + 2*b + 1. Let r be x(-1). Let w(a) = -a. Let z be w(r). Sort n, z, 0.4 in ascending order.\nAnswer: n, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.1 + -5.9. Sort 0, 0.6, x, -5.\nAnswer: -5, 0, x, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 4*p + 27, -5*p = -5*y + 9*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 2848 = -4*j. What are the prime factors of j?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(3\/5))\/c*c)\/((c\/(c**(-2\/5)\/c*c)*c)\/c))\/(c**0)**(-28))**(-10) assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w - 27467 = -56*w. Round w to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -1964?\nAnswer: -1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 4. Let s be i(-6). Let a be (1 + -2)\/(s\/(-12)). Find the third derivative of -a*v**2 - 9*v**4 + v**4 + 2*v**4 wrt v.\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/831534 and 1\/566955.\nAnswer: 12473010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.1 (b) 2 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 59*w**2 - 187*w - 44. Determine l(-62).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5116888?\nAnswer: 2, 7, 91373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*c + 16. Let t(q) = q + 5. Let o be t(c). Let y be (1 + (-4)\/o)*1. Put 2, y, -2 in descending order.\nAnswer: 2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -14\/67323 (b) 2\/5 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6617 or 7299?\nAnswer: 6617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/4 - 106260*a**3 + 7526395725*a**2\/2 + 37639948500*a + 376426051875\/4.\nAnswer: 3*(a - 70845)**2*(a + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -3. Let g = f - -8. What is the lowest common multiple of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**3\/6 + f. Let j(o) = -o**3 - 2*o**2 - o - 2. Let n be j(-2). Let i(g) = -g + 4*g - g + n*g. Determine y(i(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 38, 13, -42, -139, -290, -507, -802?\nAnswer: -1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22387*m**5 + 130*m**4 - 8215*m**2 + 812?\nAnswer: 1343220*m**2 + 3120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/(-255) - (-118)\/15. Solve -7*p = -u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-21)*((-1116)\/(-11))\/(-93).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1062 - 0?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3425.23 litres to millilitres.\nAnswer: 3425230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/3, -1.89, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*k + 6 = 731*k - 4*v, 0 = -4*k + 2*v + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*((-24)\/9 + 2). Suppose -2*x + 34 = 5*m + x, t*x = 2*m - 24. Calculate the highest common divisor of 16 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + 30*m**2 + 35*m + 21. Calculate q(-14).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((8\/(-10))\/(6\/15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-35) - (-4)\/14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24464664 divided by 2718296.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 903 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from sstttss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.53 - -42. Let k = r + 1.03. What is the second smallest value in 5, -12, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309438 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -157*b**3 - 6*b**2 - 6*b - 6. Let y(o) = 470*o**3 + 17*o**2 + 17*o + 17. Give 17*s(w) + 6*y(w).\nAnswer: 151*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/32644488 and 57\/39440.\nAnswer: 326444880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212 + 221. Suppose 5*j - 4 = -29, 2*j = -4*m + 2. Calculate the smallest common multiple of o and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:02 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4312077*b**3 + 21*b - 30940 wrt b.\nAnswer: 25872462*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 6, 2*c = 5*a + 12 + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 1 - 32) + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose -4*g + y*a + 54 = -2*a, -14 = -g + a. Let k be ((-8)\/2)\/(12 + -7) + (-29850)\/(-750). What is the highest common factor of k and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9\/((f\/(f\/(f**15\/f*f)*f))\/f) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-2 - ((-535)\/53)\/5) is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 577 + -573. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 - 132 = 3*x + 4*z, -x + z = -100. Suppose -y + 4*d = -20, -7*y - 2*d = -3*y - 98. Calculate the highest common factor of y and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33007 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 + 46 = 0. Suppose -i = -5*x + s + 20, -2*s - 4 = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 190 - 32 = 35*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 70\/15 - 7\/(-3). Sort -3, 4, r, 2.\nAnswer: -3, 2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80372887 < -80372886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - (-3 + 0 + sqrt(48))) + sqrt(48) + (sqrt(1200) - (1 + sqrt(1200) + sqrt(1200))))**2*-3*-2.\nAnswer: -384*sqrt(3) + 4632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/468)\/((-2)\/(-40))*(-928)\/464.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*i = -421*i + 63. What is the nearest to i in -0.3, -2\/7, 0, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 11:32 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*o + 3*o + o**2)*(-o + o - 2*o) - 4*o**3 + 0*o**3 + 2*o**3)*(5 + 4 + 2)*(-3*o - 3*o + 8*o) as z*o**2 + u + l*o + w*o**3 + h*o**4 and give h.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -44362 + 44243 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*n**2 - 21974*n + 21*n**2 + 21971*n - 2 as p*n + j*n**2 + i and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 217.286*30\nAnswer: 6518.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54329966 is divided by 4009.\nAnswer: 4007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 7*t**2\/2 - 11*t\/2 + 5\/2.\nAnswer: -(t - 5)*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**25*n**(2\/9)\/n*n**(-8\/7)*(((n\/(n*n**(-2)*n))\/n)\/n)**(-2\/49)\/(n**(-5)\/n*n**(-4)) assuming n is positive.\nAnswer: n**(7991\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1310, 2333, 3052, 3461, 3554, 3325, 2768, 1877?\n\"Answer: -g**3 - 146*g**2 + 1468*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1518 and 0.185.\nAnswer: -1517.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 3:04 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 2, -1, -2 in decreasing order.\nAnswer: 2, -1, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184547 is divided by 1054?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -x + 4*a, 5*x = 47*a - 52*a + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/30 - 10*t**3\/3 + 13*t**2. Differentiate x(i) wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**3 - 15*l**2 - 36*l - 87. What is f(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -547*g**2 - 281 + 281 + (-2*g - 3*g + 6*g)*(-2*g + g - 3*g) - 3*g**2 + 0*g + 0*g.\nAnswer: -554*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxxxxxxxwx. Give prob of sequence xx.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, p: 2, l: 1, t: 1}. Give prob of sequence pztp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20688.1 - 19243. Round o to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10881214 by 3.\nAnswer: 10881214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 22 = 5*c. Suppose c*t - 54 = -15. Let m(u) = -t*u + 18*u - 4*u. Let y(f) = 2*f**2. What is y(m(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 5*o + 3. Let v be c(5). Suppose -4*y + v*y = q + 8, 4*y + 2 = 2*q. Is 91 - (y - (-6)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -n + 3*c, n = -2*n - 2*c + 40. Suppose 0 = -x - 4*g + n, -5*g + 0*g = -4*x - 7. Suppose 4*z - x*z = 90. Round z to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39\/8 in -99, 5, 0, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetkeeet. What is prob of sequence kt?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (24 - (17 + -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*r = 396875 + 335268. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*g + 404*g = 10*y + 85, 4*g + 4*y + 48 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**4 + 115*f**3 - 765*f**2 - 1855*f - 980 = 0?\nAnswer: -28, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23\/10, 2, 3, 11.2?\nAnswer: 23\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143 - 100. Suppose 3*s + f = z, 5*s + 48 = z + s. Suppose 0 = -31*q + z*q + 315. What is the remainder when q is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 33976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**2 - a**2 + (0*a + 0*a + 2*a**2)*(3 + 1 - 5) - 5*a**2 + 4*a**2 + 0*a**2)*(59 - 195 - 136)*(0*a**3 - 5*a**3 + 3*a**3).\nAnswer: -2176*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/35 - (-136)\/(-10) - (-32333)\/4619?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w + 146 - 50 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.18 (b) -1.6 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 974311876132 - 974312122294.8200044. Let r = 246163 + v. Let p = -0.18 + r. What is p rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471560906 to the power of 1\/2, to the nearest integer?\nAnswer: 21715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/5*23\/(-23)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 11) to base 12.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, 42, 38, 18, -24, -94, -198, -342?\n\"Answer: -g**3 + g**2 + 10*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*-1 + sqrt(288))*-6 + (sqrt(288) - ((sqrt(288) + -1*sqrt(288))*4 - sqrt(288))))\/(sqrt(18)\/(sqrt(4)\/sqrt(2))*-4*1).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(35)\/(sqrt(49)\/sqrt(7))) - (-3 + sqrt(98)*3).\nAnswer: -20*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n**4 - 3*n**3 - 4*n**2 + 3*n. Let q(m) = 32*m**4 + 7*m**3 + 7*m**2 - 7*m. Let f(h) = -7*j(h) - 3*q(h). Find the third derivative of f(d) wrt d.\nAnswer: 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/((-12)\/(-3))*(92\/322)\/((-2)\/7).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1431, -2866, -4301, -5736?\n\"Answer: -1435*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - 4.88. Let h = -0.036 + -0.364. Which is the nearest to -1\/2? (a) h (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1166*y + 1178*y + 24. Which is the closest to -0.1? (a) y (b) 8\/5 (c) -0.2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -13*w**2 - 119. Let t be a(26). Let k = -4870 - t. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 331703 + -198792. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 5 - 4*n**2 + 1846*n**4 - 3701*n**4 + 1854*n**4 to v*n**2 + j*n**4 + t + a*n + g*n**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/12 + 19*i**3\/6 + 24*i**2. What is the derivative of f(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -152 - -152.1. Suppose 23*t = 12*t + 22. What is the nearest to 0.3 in h, 7, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 73.171193015 from 2.\nAnswer: -71.171193015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 255, 494, 727, 954?\n\"Answer: -3*l**2 + 248*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 13*n**2 - 17*n + 17. Calculate p(-14).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = v - 24, -916*v + 920*v + 4*s = 108. Calculate the least common multiple of 294 and v.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2332)\/(-424))\/(165\/24)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/8)\/((-1755)\/(-130)). Let s(c) be the first derivative of -i*c**4 + 0*c**3 + 5 + 0*c**2 + 0*c. Factor s(j).\nAnswer: -2*j**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -228*o**3 + 3*o**2 - o - 3. What is the units digit of i(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112*s - 6*s**2 - 1112*s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -56*h + 4. Let x(m) = 11*m - 1. Let n(l) = 3*s(l) + 16*x(l). Let g be n(3). Suppose g = a + a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4578 in 2, -2\/5, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 353\/65, -2\/5 in descending order.\nAnswer: 353\/65, 2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100000011 + 10011000001?\nAnswer: -11001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1768447 and 25921?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12407606343\/1342850 + -3305466\/2675. Let m = -9156968545\/875739 - p. Let k = m + -2\/1163. Calculate the common denominator of k and 4\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107587213 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-44))\/((-2)\/(-60))*(-2124)\/(-1593).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -0.7, -0.05, -1\/4, 1\/2 in ascending order.\nAnswer: -5, -0.7, -1\/4, -0.05, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (20 + -16) - (-1 - -32)) + (46 - 56)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18561\/7 or 2652?\nAnswer: 2652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1)\/y*y**(1\/2)\/y*y\/y**3*y*y**5*((y**(-1)*y*y*y*y)\/y)**(1\/57)\/(y**(-2\/5)*y*y*y\/(y\/(y*y\/y**(-5)))) assuming y is positive.\nAnswer: y**(-3457\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*a - 524968 = -486266 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 23 + 113 = 0. Suppose 0 = p + m*p - 2910. Suppose 9*v - 294 = p. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*z + 18, 0 = -f - 3*z + 17 + 31. Solve 5*d - f = 4*o, -d - 3*d + 22 = -o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a minute in seconds?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llcc when four letters picked without replacement from elcclllaleeeclelccl.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0*(-2)\/2. Let n(o) = 6*o**3 - 1. Let d be n(y). Factor 5*r**2 + 3*r**2 - d*r**2 - 5*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178176 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: Multiply 3 and -61.807.\nAnswer: -185.421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 41) + -32 + (0 - -2) - (1 - -8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220 + -171. Let y = n - 48.9. What is the nearest to -0.1 in -3\/5, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615764 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 1105*x**2 + 544*x**2 + 4*x**4 - 26*x**3 + x + 561*x**2 in the form k + q*x**4 + w*x**3 + c*x + f*x**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 24596.97.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:57 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94700 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2*(28\/21)\/(2\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1921548*b - 2. Let n be l(11). Let g = n + 44919743. Let y = g + -34582713. What is y rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7286 - 7285.7. What is the second biggest value in 3, -4, v, 950?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254995 = -37*s + 357429. What are the prime factors of s?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5166 + 2*k**2 + 2504 + 3168 in the form y + h*k**2 + j*k and give y.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**3 - o**4 - o**3 + (2 - 3*o**3 - 2)*(-1 + 1 - 4*o))*(16 + 18 - 13) to c*o**4 + k*o**3 + n + h*o**2 + d*o and give c.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/15, -2\/5, 0.0856, -3\/4 in descending order.\nAnswer: 5, 2\/15, 0.0856, -2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002287596 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o - 9. Let k be l(4). What is the third derivative of -5*t**2 + 4*t**3 - 10*t**k - t**2 wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 89. Let j(k) = -k - 46. Let o(q) = 5*j(q) - 3*m(q). Give o(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 21 + 70. Suppose -11 = 2*z - k*z + 4*t, -2*z - t = 6. Let c(n) = -43*n**2 - n - 1. What is c(z)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 0.179.\nAnswer: 0.00358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58592686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*z + 287, 5*a - 348 = -5*z + 127. What is the greatest common divisor of a and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -110*h**3 - 2*h - 6. Let z(j) = -109*j**3 - 3*j - 8. Determine -3*m(o) + 2*z(o).\nAnswer: 112*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 2150873.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d2 + 5?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*v = -52, 6*v - 31 = -l + 7*v. Calculate the greatest common factor of l and 522.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-170))\/(96\/180)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 297 - 292. Solve 4*a + 6 = -s*r, 0 = 4*a - 6*a - 5*r + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 7*k**2 + 5*k + 1. Let h(a) = a**2 + 7*a - 6. Let t be h(-7). What is the units digit of g(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*q, -3*y - 4*q + 10 - 26 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 103*p + 7543. What is the remainder when 285 is divided by l(-73)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/2? (a) 0.4 (b) -4 (c) -30 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4295563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 + a - 4\/5.\nAnswer: -(a - 4)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 4*m - 2*m. Let h = 154 + m. Suppose 0 = o - u - 24, -4*o - 4*u = -0*o - h. Calculate the remainder when o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 20. What are the prime factors of l(-12)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01547 + 544.19547. Let n = -543 + c. Round n to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 469211078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 94, 110, 138, 184, 254, 354?\n\"Answer: s**3 + 9*s + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - 0.00708\nAnswer: -0.03708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 - 2*i - 5. Let j be m(4). Suppose 1922 = 5*f - s, j*s = 5 + 4. What are the prime factors of f?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462, -905, -1348?\nAnswer: -1791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374710970*j**3 + 244435873*j**2?\nAnswer: 2248265820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10187760 divided by -2244.\nAnswer: 4540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.748*165\nAnswer: -288.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*l**3 + 4*l - 2*l + 6*l**3 wrt l.\nAnswer: 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2675879 is divided by 668969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**3 - 21*o**2 - 21*o - 3. Let k(p) = 10*p**2 + 3 + 3*p + 7*p - 2 - 3*p**3 + 0*p. Let h(s) = -9*k(s) - 4*n(s). Give h(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 2*p**7\/105 + 2*p**6\/15 - p**5\/15 - 2*p**4\/3 - 17*p**2 - 1. Factor r(u).\nAnswer: 4*u*(u - 1)*(u + 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -644, 3?\nAnswer: -644","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j - 2*j + 2*j. Let p(t) = -4*t. Let o(m) = 1. Let h(l) = 3*l + 4. Let n(s) = h(s) - 4*o(s). Let z(v) = 7*n(v) + 5*p(v). What is i(z(f))?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11424100 rounded to the nearest 10000?\nAnswer: -11420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25296.\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 41 - 5*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10271557?\nAnswer: 179, 57383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2163 is divided by 2040?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/7, 5, 1\/5, -0.11 in ascending order.\nAnswer: -3\/7, -0.11, 0, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 134*f - 554. Calculate p(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:19 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12189, -24397, -36605, -48813?\n\"Answer: -12208*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 8:06 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 4*s**2 - s + 4. Let f be o(4). Suppose f = -3*m + 13 - 1. Let z be (-3)\/(-10)*m\/(-3). Is 3 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273 = -60740*u + 60779*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x - 5*x + 4*x**3 + x**2. Let l be i(-1). Let p(h) = -12*h + 4. Does 20 divide p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5202*o - 1740*o - 1713*o - 1715*o.\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 10*w**2 + 92*w + 67. Let y be k(16). What is the third biggest value in -4, y, 2\/9, 29?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4400 and 3717680.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n - 4055 = -4416 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2 - 43*i**2 + i + 0 + 39*i**2 + 0*i. Determine j(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 162638?\nAnswer: 162634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 664. Suppose -a - 3 = -4*a, 0 = 4*h - 2*a - c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*t**2*x - 3*h**2*t**2 - 1553*h**2*t - 19018*h*t**2*x - 2 with respect to x.\nAnswer: h**2*t**2 - 19018*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -184945 + 388802. Let m = 204151.119 - d. Let f = 294 - m. Round f to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 3, -102 in descending order.\nAnswer: 3, -102, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 7 - 1592022*f + 12 + 1596948*f.\nAnswer: 4926*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 1312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(110)\/(-4*sqrt(10)) + -5*(0 + sqrt(11))*3.\nAnswer: -65*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 10:07 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - -1.4. Which is the third smallest value? (a) j (b) 1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*4\/4 - (1 + (-56)\/7). What is the nearest to l in 2\/7, 0, -0.2, -0.69?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 3*d + 86 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 b when four letters picked without replacement from bbbbxbxbibbbbxbibibx.\nAnswer: 52\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 531\/(-174)*1 - -3. Let s = 43\/290 - q. Let -2\/5 + s*p**2 - 1\/5*p = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q - 1. Let f(m) = -2*m**2 - 8*m - 4. Let i(x) = f(x) - 3*y(x). Let j(v) = -v**3 - 2*v**2 - v + 1. Let w be j(-2). Calculate i(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -402.\nAnswer: 13266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (509 - 509 - 23*w)*(w**2 + 3*w**2 - 6*w**2)*(2*w + 2*w + 2*w).\nAnswer: 276*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 56?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 241*c**3 + 12*c**2 + 7*c + 13. Give u(2).\nAnswer: 2003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5642*l + 61918. Determine b(11).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18433034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 1, z: 1, x: 4}. What is prob of picking 1 x and 1 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*k - 432*k - 1081 = 0. Solve -k*w + 37*w - 28 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*h - h. Let q be (13 - 1) + (h - 1). Suppose 0 = 2*j + 1 - q. Calculate the highest common factor of 30 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1318\nAnswer: 1\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*x**2 - 3*x + 5*x - x.\nAnswer: -169*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**4\/12 + 17*t**3\/2 + 2*t**2. Let r be h(24). Let b(w) = -2*w**2 - r + 2*w + 2*w**3 - 8*w**2 + 9*w**2. What is b(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 125983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6656 + -10?\nAnswer: 6646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3. Let d(b) = -b. What is 2*d(x) - z(x)?\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/297 + 42\/(-7) - 4\/22.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 + -3 - 14)\/(2\/20). Suppose 7*l = -817 + 327. Is x smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 2293 - 47 = 0. Calculate the greatest common factor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 67*z - 20*z + 4*z + 13*z**3 - 48*z.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let s(j) = 24*j - 25. Let g be s(1). Which is the third smallest value? (a) g (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaomomaooaomooamaao. Give prob of picking 2 m.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117695, -235327, -352933, -470507, -588043, -705535, -822977?\nAnswer: -940363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**4\/4 - 5*b**3 + 3*b**2\/2 + b - 5. Let s be g(15). Calculate the highest common divisor of 115 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from bsbdbbqbssbb.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-805)\/(-2070) - 2\/(-18). Put 1\/7, r, -71 in ascending order.\nAnswer: -71, 1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 626*i*u**4*z + 2*i*u**3 + 88*i*u**2 - 2*i*u + 2*u**4*z - 3*u*z wrt u.\nAnswer: 15024*i*u*z + 12*i + 48*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, -3, 145, 28 in descending order.\nAnswer: 145, 28, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10126823*19.\nAnswer: 192409637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from fjvfvfffffjfvjfffv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5732*s + 1608. Is o(1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 447525, 447232, 446941, 446652, 446365?\n\"Answer: w**2 - 296*w + 447820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 332587 + -476?\nAnswer: 332111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19 + -1.61. Let p = -1.8 - f. Let i be -7 - (3 - 2)*-2. What is the closest to 1 in 1\/8, p, i?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 13*11\/(77\/14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*w - 19 + 24. Factor -16\/3 + 16\/3*o**2 - 4\/3*o**w - o**4 + 0*o + 1\/3*o**5.\nAnswer: (o - 2)**3*(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 57*f**2 - 990*f.\nAnswer: 3*f*(f - 11)*(f + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v*v**2)*v*v**(-2\/5)*v*(v**(-1\/3)\/v*v)\/v**(-2\/5))\/((((v\/((v\/v**1)\/v))\/v)\/v*v)**(-13)\/(v\/v**(1\/5)*v*v\/(v*v**5*v))) assuming v is positive.\nAnswer: v**(157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/72900 and -163\/3316950?\nAnswer: 6633900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duhgcgccgcd. What is prob of sequence hdu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5270334416 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-889)\/(-84)*-8*(55\/(-22) + 2)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112 and 3?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2743*h**3 - 666*h**3 + 3*h - 2*h - 952*h**3 - 1011*h**3.\nAnswer: 114*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -56.00023. Round k to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0*y**2 + 1\/10*y**5 - 1\/2*y**3 + 1\/3*y**4 - 2*y - 4 + 1\/42*y**7 - 2\/15*y**6. Factor t(i).\nAnswer: i*(i - 3)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 + -117.3. Put p, 3, 22, -1 in decreasing order.\nAnswer: 22, 3, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*r + 19 = 0, 2*r + 18 = 16. Let j be 3\/5 - (0 + (-1791)\/x). What is the greatest common divisor of 16 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/17 + 2171650*z**3 + 227157044688378*z**2\/17 + 465899477250839310486*z\/17 - 931799863130152718916\/17.\nAnswer: 2*(z - 2)*(z + 6153009)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than -1116\/317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (16682\/(-114))\/((-1)\/15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-1)*185\/25.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5163 - 4431. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9797*v**3 + 5484 with respect to v.\nAnswer: 29391*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajsa. Give prob of picking 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0) + 32\/2. Suppose -3*i - f = -6*i. Solve -5 = 4*a + 3*h, -2*a + 5*h - 3 = i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2431 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*w**3 + 238*w**3 - 130*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -95*o - 408 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400324472?\nAnswer: 2, 131, 381989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s**2 + 5*s + 3. Let g(b) = -9*b**2 + 4*b + 2. Let u(h) = 5*g(h) - 4*i(h). Give u(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 22. Let v be y(6). Calculate the common denominator of -59\/6 and (v\/(-8) + 0)*-67.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -182, -723, -1624, -2885, -4506?\n\"Answer: -180*p**2 - p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1616645124 - -5?\nAnswer: -1616645116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -270251 + -1?\nAnswer: -270252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/47)\/(((z*z**(-5))\/z)\/z))**(-3\/17) assuming z is positive.\nAnswer: z**(-840\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**3 - 7*u**2 + 7*u + 10. Let m(a) = 7*a**3 + 7*a**2 - 7*a - 11. Let n(g) = -5*m(g) - 6*p(g). Give n(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65744 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 - 3 - 25*v - 8 + 11 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 17*s**2 + 16*s + 6. Let t be r(16). Suppose 0 = 2*d + t*d. Suppose -13*u + 572 = -d*u. What is the highest common divisor of 88 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-5 + (-3)\/(-1)). Calculate the remainder when 189\/12*(-8*1)\/t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, n: 3}. What is prob of picking 3 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3064, -3062, -3060, -3058, -3056, -3054?\n\"Answer: 2*a - 3066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1321.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 448920, 448886, 448838, 448770, 448676, 448550?\n\"Answer: -j**3 - j**2 - 24*j + 448946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxv when three letters picked without replacement from {m: 2, d: 6, x: 2, v: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 10 = c. Suppose -n = c + 1, 0 = 4*v + 4*n - 60. Suppose v = 3*a + r, -4*a - r + 24 = -0*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 prob of sequence auu when three letters picked without replacement from {a: 5, u: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 6 + (1 - 1). Let c(h) be the third derivative of h**4\/24 + 7*h**3\/6 + 45*h**2. What are the prime factors of c(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 18*t**2 + 135\/2*t + 75 + 3\/2*t**3 = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95787.6 hours in minutes?\nAnswer: 5747256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.5 (c) 2\/13 (d) 0.2 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -475*t - 55028. What is a(-114)?\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 11 + (-16 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + q = -37, 4*n - 2*q - 7673 = -7739 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0)\/(3 + -1). Let w = 0 - o. Suppose -x - x - 4*u + 56 = 0, w = 3*x - 4*u - 54. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 3. Let r be x(5). Suppose r = 4*u - 3*u. Solve g + 5 = 0, -u*o - 2*g + 26 = -6*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 365226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 65516.85 weeks?\nAnswer: 39624590880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-36)\/(-30) - (-8)\/10)*9 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2249 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 4228?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-96)\/(-56))\/((-4)\/(-154)). Let y = 220 + b. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/60 + 7*x**4\/24 + x**3\/6 - 5*x**2. Give f(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0664 + 4.0664. What is the nearest to u in -2\/11, 5, 0.15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.9 - 28. Let y = r - -1. Let p = -94\/83 - -271\/166. What is the fourth smallest value in p, y, 3\/8, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*x - 180, -4752 = -3*r - 2*x - 4658 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(3\/15*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 0.1 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:07 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -2*f + 12. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*v - 44*v - 26*v**2)*(v - v + v + (3*v + v - 3*v)*(3 - 5 + 1) - 3*v + 4*v - 3*v).\nAnswer: 52*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24 - -25)\/(1\/39). Let k = l - 36. Calculate the smallest common multiple of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.39 from 15.9.\nAnswer: 15.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 4414?\nAnswer: 4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-4))\/((-2)\/(-8)). Let p(d) = d - 1. Let o be p(-7). Is (74\/o)\/s*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8345.\nAnswer: 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11720204933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/2, -44\/3, 0.2, 5, 2\/3 in decreasing order.\nAnswer: 13\/2, 5, 2\/3, 0.2, -44\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 6*p**4\/5 - 24*p**3 + 798*p**2\/5 - 1764*p\/5 = 0.\nAnswer: 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1560 divide 245806107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:42 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 times -13?\nAnswer: -3627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -505 - -505.5. Which is the fourth smallest value? (a) -0.4 (b) x (c) 0 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4236529 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 11. Let q = 2 - 5. Which is the nearest to -1? (a) 2 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6689227, 6689232, 6689237, 6689242?\n\"Answer: 5*v + 6689222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -24. Let y = f - -9.0036. Round y to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 164.956 and -353.756.\nAnswer: -188.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0099 - 0.0485. Let x = -0.0416 + z. Which is smaller: x or -293?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1770129547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7*472\/(-1176) + (-1)\/3 and 22\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + a + 2*a + (1 - 5 + 2)*(-30*a + 38*a - 34*a) - 1 + 2*a - 2*a + a as y + l*a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.1 - 18.5. What is the second smallest value in -2\/7, v, 2, -2\/39?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 11, w: 5}. What is prob of sequence wma?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 - -29. Suppose -81 - a = -4*u. Let k be u + 1 - (-3)\/(-3). What is the greatest common divisor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + -5 + (3 + sqrt(1331) + (sqrt(1331) - sqrt(1331)*1))*-6).\nAnswer: -198*sqrt(11) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2001 is divided by 142?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(448) - (0 + sqrt(448))) + sqrt(448) - (3 + sqrt(448)*1))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*u - 15*u + 14*u)*(-u + 2*u + 0*u)*(2*u**3 + u**3 - u**3).\nAnswer: 50*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + 5 = -5*v, -5*v - 5*a = -30. Let w be (-4)\/22 + 168\/(-44). Let b = w - -8. What is the smallest common multiple of v and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 499 - 9. Let n(f) = 2*f**2 - 8. Let a be n(7). Suppose -5*t + a = 3*o - 0*o, 4*o = 0. Calculate the remainder when g is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8083, 16039, 23997, 31957, 39919, 47883?\nAnswer: 55849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/14)\/((-1)\/(-36)). Let m be 10\/15*y\/8. Let l(g) = -g**2 - 5*g + 3. Let k be l(-6). Which is the smallest value? (a) m (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*s**3 + 41 + 41*s**3 - 83*s**3)*(-s + 1 - s + 3*s) - 4*s + 4*s - 4*s**4.\nAnswer: -6*s**4 - 2*s**3 + 41*s + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - p - 1. Let i(m) = -193*m**2 - 2*m + 88. Let n(x) = 2*h(x) - i(x). Find the first derivative of n(a) wrt a.\nAnswer: 374*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -578*b*h**2 - 521*b*h + 1855*h**3 + 1745*h wrt h?\nAnswer: -1156*b + 11130*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 - 1\/20*f**5 + 1\/2*f**3 + 1\/2*f**2 - 16*f + 5\/4*f**4. Is d(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1555\/17 + 58677\/527. Which is smaller: 21 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9427 is divided by 417.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2758 (base 12) to base 10\nAnswer: 4532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -0.80196?\nAnswer: -0.80196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/28)\/(5\/(-20)). Which is the nearest to s? (a) 0.3 (b) 2\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7920 is divided by 894?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-112)\/(-20) + (-2)\/(-5). Suppose -5*n + j = 1. Differentiate -m**2 + n + 0*m**2 + 0 with respect to m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, r: 4, s: 2}. What is prob of picking 1 s and 3 r?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 69?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -420 + 265. Let u = -89 - r. Let k = u - -47. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4910829 and 1078?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -435 - -434.2. Suppose 2*t + 11 = 5*y, -t - 2*y + 12 = 2*t. Which is the smallest value? (a) u (b) 0.5 (c) 3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 + 18*x**2 + x - 11. Let s be r(9). What is the units digit of 3220\/(-98)*7*s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*sqrt(11) + -5 + sqrt(11) + -4*sqrt(22)\/sqrt(2) - (sqrt(11) + -1)*5*-5).\nAnswer: -25*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.5677 to one decimal place.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 850244 or 850243?\nAnswer: 850244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -8. Let a = 66 + -46. What is the remainder when a is divided by -7*(-3 + c\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**21*l**10 assuming l is positive.\nAnswer: l**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.091 in 3, -3.19, -1\/6, 10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -9.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -720, -1442, -2180, -2940, -3728, -4550?\n\"Answer: -d**3 - 2*d**2 - 709*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 10450?\nAnswer: 10454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250 by 6171.\nAnswer: -250\/6171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*h + 5 - 29, -h - 13 = 3*j. Let w be (6\/j)\/(12\/(-128)). Solve 2*q - w = 6*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2386519 is divided by 2386413.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 122.\nAnswer: 16\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 + 8 - (11 + -9)) - -18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -115223255 (base 6) to base 9\nAnswer: -4140828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 272, 676, 1230, 1928, 2764, 3732, 4826?\nAnswer: 6040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 59*j + 192. What is the remainder when 71 is divided by f(22)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1141659?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/212207 and 26\/51.\nAnswer: 10822557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300305 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 8*g**2 + 4*g + 8. Let k = 9 + -18. Is b(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 6*v**3 + 3 - 2*v - 3*v**2 + 10*v**2 - 5*v**2 - 6 to s*v**2 + x*v + i*v**3 + c and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1. Let m(q) = 5*q - 7. Let l = -52 - -130. Let d = -77 + l. Determine d*m(f) - 6*p(f).\nAnswer: 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5)*174 + (-3)\/15. Let f be 9*(-3 + t\/(-15)). Let p(a) = a + 3. Determine p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*h = -199*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25109173 is divided by 849.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/23)\/(6100\/(-385825))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3268 and 78?\nAnswer: 127452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 33*q - 33. Determine o(-4).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 749131*a**3 - 374570*a**3 - 374551*a**3 + 13*a.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 9 = -3*y - 11. Factor -4\/7*d**y - 12\/7 + 24\/7*d**3 - 48\/7*d**2 + 40\/7*d.\nAnswer: -4*(d - 3)*(d - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38121 + 2d?\nAnswer: 3814e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = -14. Suppose 3*q - 14*q - 11 = 0. Let s be -2*q\/(2\/w). Calculate the highest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31810558 plus 144856?\nAnswer: 144854.68189442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 331 + -30531?\nAnswer: -30200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 4\/(1 + 1). Let g be (4 + -3)*(w - -1). Let z be (-21)\/(-5) - 1\/5. Solve -g*o - 2*i = 10, -4*o + z*i + i + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21*v - 20. Let y be s(1). Let g = 5 - 5.4. Which is the closest to y? (a) -1 (b) -11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((17 - -2) + -12 - -9 - 33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 - 21. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/(-77) + 1\/(14\/15086). Let w = -732 + p. What are the prime factors of w?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h + 5*h + 18*h + (-22 + 90 + 72)*(-h + 4*h - 2*h).\nAnswer: 157*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*(-18)\/30. Let v be ((-883)\/3)\/(9\/6). Let q = v - -196. Which is the closest to t? (a) q (b) -4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*l - 3366*l**2 - 120*l + 177*l as z + h*l + j*l**2 and give j.\nAnswer: -3366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1467805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 10 + 45 + (-115 - (-3 - 0))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-18)*4\/(-1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c + 39 - 82 + 24*c + 36 - c**2. Let i(k) = 2*k**2 + 5*k + 4. Let b be i(-3). Is j(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 4*h**2 + 2*h - 3. Let f be n(-4). Let g = f + -103. Let o = -26 - g. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 + 7*m + 3. Let n(y) = -13*y**2 + 21*y + 9. Give -3*n(l) + 8*p(l).\nAnswer: -l**2 - 7*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(42)\/sqrt(6)) - sqrt(45))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-8)*(-1)\/(-1) - -1346 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012216 rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4706 - 4672. Calculate the remainder when 610 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 224*a**3*w**2 - 236*w**2 wrt a.\nAnswer: 672*a**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*v - 0*v. Suppose r - v = 8. Solve -3*k + 21 = 3*m, -r = -0*m - m - 3*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9565*x + 9616*x - 2448 = 0 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -123 - -1?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64761 from -50.57.\nAnswer: -64811.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-792)*12*11\/6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -305 - -306. Which is smaller: l or -8\/39?\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 3. Let j = 148 - 75. Let q(u) = u + 84. Let b be q(-35). Suppose 6*r + j - b = 0. Determine x(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 3*q + 67 = -8, -4*o - 69 = -2*q - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - s = 34, 2*s - 7 = -2*q + 5. Let k = 12 - q. Suppose p - k*p = -63. What is the highest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4646 and -4646 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -112 in descending order.\nAnswer: -1, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 362 + 1198 = 0. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -13.6. Let k = r + -1. What is the nearest to 1 in -1\/2, -3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5071 by -370.\nAnswer: 5071\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*v**2 - 3*d**3*v - 5*d**2*v**3 + 4*d*v**3 - 159*v wrt v.\nAnswer: 6*d**3 - 30*d**2*v + 24*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16117193429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, y: 2, x: 2}. What is prob of picking 2 p and 2 y?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597656 is divided by 420?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 4:47 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98, 168, 206, 212?\n\"Answer: -16*n**2 + 118*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 7, s: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4140, -4141, -4142?\nAnswer: -4143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 2. Let l be g(4). Suppose -8*r + 19 = -21. Suppose r*k - 4 - 11 = 0. Sort l, 5, k in increasing order.\nAnswer: l, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5))**(-12)\/((a\/(a\/(a**(6\/11)*a)))\/(a\/(a\/a**7))) assuming a is positive.\nAnswer: a**(432\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 0.4, 36, 37\/6, 3\/4 in descending order.\nAnswer: 36, 37\/6, 3, 3\/4, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klmqklsmmmqqslsqklq. What is prob of picking 3 q?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 - 13*i**3 + i**3 + 3*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*d**4 - 276*d + 3*d**5 + 111*d**3 + 26*d - 61*d**4 - 350*d + 90*d**2.\nAnswer: 3*d*(d - 5)**2*(d - 4)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-12) + -31 + 0 + 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 5)*(3 - 4 + 2)*(-7*q**3 + 7*q**3 - 5*q**4).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6087.\nAnswer: 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.5938 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3.75054 weeks?\nAnswer: 630.09072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*a, -3*n + 4*a - 7 + 29 = 0. Suppose -11*c = -n*c + 9. Suppose h = -2*k + 8, h - 3 = -4*k + c*k. Is k bigger than 19\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbnoyzbbbnyonyob. Give prob of sequence bno.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1029818150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*h = 443*h - 124 - 44 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -583 in -1\/3, -3, -1, -0.064?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*t + 16, -5*b - 5*t + 54 + 26 = 0. Let j be 5\/((-20)\/(-2))*b. Let v be (0 + 10020\/8)*j\/(-6). Round v to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 2*z - 18960 = 0. What are the prime factors of (-4)\/(-6) + z\/18?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 6*g**2 - 5*g + 27. Let b be q(6). Let p be (-17)\/5 - b\/((-45)\/(-6)). Put -0.2, p, -2 in ascending order.\nAnswer: p, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 + 5*l**3\/6 + 2*l**2 - l. Suppose -14*g - 712 = 772. Let j = 103 + g. Give b(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000838 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t*x**2 - 7343*t*x + 362*t - 9*x**2 - 37857 with respect to x.\nAnswer: -4*t*x - 7343*t - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 0, -1, 55, -9 in decreasing order.\nAnswer: 55, 0, -1, -9, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 + d + 8. Let s be -12*((-3)\/2 - -2). What is the units digit of q(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97241320?\nAnswer: 2, 5, 11, 61, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 411339.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.4 (c) -8 (d) -21 (e) 77 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -462 + 525. Sort 6, u, 5 in decreasing order.\nAnswer: u, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 23. Let w be b(-23). Put 3, 5, w in descending order.\nAnswer: 5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*v + 0)*(-6 + 4 + 0) - 67 + 67 + 65*v + (6*v - 2*v - 3*v)*(5 - 2 - 1).\nAnswer: 63*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + 128 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3320 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 85 = 212. Suppose c = 2*x - 5*x. Let f = -84 - x. Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. Suppose 13*i + 6 + 15*i**2 - w*i + 12*i = 0. What is i?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 12 = 0. Let w(x) = 10*x - i*x - 6*x. Let t(m) = 28*m + 174. Let d(q) = -q - 29. Let g(c) = -6*d(c) - t(c). What is w(g(n))?\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-720)*-10)\/(-1). What is the closest to 0.1 in w, 2\/3, 0, -95?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -26\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 3*f - 2, -2*o + 10 = 3*f - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*y - 5)*(-5*y + 14*y + 4*y) + (5 - 2 - 4)*(2*y**2 + 3 - 3) + 3*y**2 - 5*y**2 - 3*y**2 + (1 - 1 + y)*(-2*y + 2*y + 2*y) - 1 + 3*y**2 + 1.\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273978370 divided by 9447530.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y - 88. Let h = 99 - 108. Let w be t(h). Solve -w*g = 3*x + 21, -x - 2 = g + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2 + 2 - 3 - s. Let z(w) = w**3 - 10*w**2 + 2*w - 2. Let p be z(10). Let m = -23 + p. Let o(i) = i + 1. Give m*o(t) - 2*r(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 133234 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -12124230?\nAnswer: -12124234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4688 + -4688.000020196. What is l rounded to 7 dps?\nAnswer: -0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3000954.\nAnswer: 2, 3, 11, 41, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37237\/759 - 21 - -12 - (-6)\/(-99)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/((-53)\/265)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -347, 4\/3, -3\/20, 16\/9 in decreasing order.\nAnswer: 16\/9, 4\/3, -3\/20, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 w when four letters picked without replacement from {s: 2, b: 7, w: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 293*d - 2159. What is o(7)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 270823*k**2 - 22224.\nAnswer: 541646*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52272 and 32.\nAnswer: 104544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 27*f**3 + 268*f - 106*f - 142*f - 20*f.\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/329?\nAnswer: -2\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(28\/(-17)) + (-8 - -6). Let i = 14\/65 + -1\/65. Suppose 4*y + 0*q + 11 = -5*q, 0 = 4*y + 2*q + 2. What is the second biggest value in n, y, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4\/5 (c) -16904250 (d) -0.1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*j + 550 = 2591 + 555 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2244)\/110*(-3)\/2)\/(150\/(-500))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 24. Solve -f - 1 + p = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*s - 147277233 - 2681198. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 719 + -725. Put 11, g, 5 in descending order.\nAnswer: 11, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3837)\/279 - -4 - -9 and 16\/31.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1179 and (14 - 23)\/(1\/(-3)).\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s + 1. Suppose -10*r + 6 = -7*r. Let f be n(r). Suppose 48 = 5*j + 2*q - 60, -f*q - 48 = -3*j. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -805 or -822?\nAnswer: -822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -32, -29, -4, 49, 136, 263?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 20*s + 21 = 0. Suppose u - s*u = -6. Let w be (-2)\/((-37)\/((-1)\/1)). Do w and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1345*t**3 + 713*t**3 + 631*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11016 and 70232508?\nAnswer: 140465016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/19 - 1970*t**3\/19 - 484126*t**2\/19 + 486098*t\/19.\nAnswer: -2*t*(t - 1)*(t + 493)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 19*w**2 + 9*w + 8. Let x(d) = 9*d**2 + 4*d + 4. Let t(u) = 2*j(u) - 5*x(u). Let n be t(5). Let q = n - -39. Round q to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102.8 - 91. Let c = 7 - n. Let s = c - -4.80108. What is s rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-701512)\/12992 - -54)\/((-2)\/(-16))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-1 + -1))\/(31 - 32). Let l be (-8)\/3*(-1 - (5 + c)). Solve 5*r = -2*z - 14, -5*r + 2*z = -2 + l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.2 in 3, -0.55, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -94.5 (c) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3563385888?\nAnswer: 2, 3, 53, 67, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13311178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*o - 118*o - 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -53.6. What is the closest to 0.7 in -0.1, -2, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 287 - 987. Find the common denominator of 91\/6 and 1935\/s - (-2)\/(-7).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - s - 1. Let x(v) = -3*v**2 - 4*v - 7. Let t(k) = x(k) - 6*y(k). Let l(u) = 4*u**2 + 3*u - 2. Calculate 2*l(c) - 3*t(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0825744 + -0.4.\nAnswer: 0.6825744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 5*z**2 + 3*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2230 - -1431301?\nAnswer: 1434031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 894 - 214 - 232 - 225 - 223.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -11 (c) 1\/18 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, t: 7, a: 1}. What is prob of sequence ttty?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4174?\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2632*h = -2647*h + 109470. Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9 + 8*k + 5*k**2 - 5*k**2 + 3 - k**2. What are the prime factors of a(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-164)\/1599*26*540\/(-64).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891933.9 years to millennia.\nAnswer: 891.9339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.061 - 0.461. What is the nearest to 0 in -1, c, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*p + 3561 = 665 - 4626 + 812 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20)\/(-4))\/(-1) - -138 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1272 and 82044?\nAnswer: 164088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 at least 20\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(7\/5)*v*v*v\/(v*v\/(v\/v**(2\/3)*v)))\/((v\/(v**(-4\/3)*v))\/v**(-2\/25)) assuming v is positive.\nAnswer: v**(58\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-2 + (3 - (1 - -5)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77532*p + 6938*p - 24729*p.\nAnswer: -95323*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:21 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33034937*o**4 + 32892929 with respect to o.\nAnswer: 132139748*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.17 - -5.83. Let h = 7 - c. Suppose 0 = 4*i - 1 - 15. Sort i, h, 0.3.\nAnswer: 0.3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -743568 by -4.\nAnswer: 185892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 115. Let r be k(-39). What is the second derivative of -3 - 15 + r*t + 136*t**2 - 10 + 6 wrt t?\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 52721*h + 17. Let f(a) = -17574*a - 6. Let u(j) = 8*f(j) + 3*l(j). Let w be u(7). What is w rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3450049 (base 10) in base 13?\nAnswer: -93a465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.018, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -3.41632197874.\nAnswer: -3.01632197874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 4. Let j be w(8). Let a = -6 + j. Let n be (-128)\/(-6) - a\/3. 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: Let z(u) = -141*u + 423. What is the hundreds digit of z(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:39 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6552 - 6551.4. Which is the fifth smallest value? (a) -0.2 (b) 5 (c) r (d) 0 (e) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b + 621 = 418. Let i(m) = -m**2 + 2*m + 7. Let f(y) = -2*y - 6. Give b*f(h) - 6*i(h).\nAnswer: 6*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q + 1. Let n be b(7). Suppose t = n + 21. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3528468 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 29, 6, -17, -40?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t + 3. Let s(r) = -5*r + 4. Let p(k) = -6*h(k) + 5*s(k). Let q(a) be the first derivative of -a + 6. What is -2*p(z) - 3*q(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m - 161. Let a = -3609 + 3624. Determine v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*g - 2*g - 3*g)*(-3 + 5 - 1) + 9*g + 3*g - 56*g)*(138*g + 24*g + 155*g + 42*g - 44*g).\nAnswer: -14490*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, 2\/11, 4 in decreasing order.\nAnswer: 4, 2\/11, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*o, c + 16*o = 23*o + 9 + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2\/3*v**2 + 850 + 520\/3*v = 0.\nAnswer: -255, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09188 rounded to three dps?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 230, 449, 654, 839, 998?\n\"Answer: -h**3 - h**2 + 229*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 4*p - 1. Let h be a(-4). Let l(k) = -k - 22*k**3 + 0*k + 6*k**3. Is 8 a factor of l(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727422 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 507 - 506.679. Let t = -0.079 - l. Which is smaller: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(-16)\/(-84) - (-1)\/(-7). Let v be 2 + -3 + 1 + (c - -2). Suppose -t = 2*x - 10, -t - 20 = -v*x - 0*t. Solve 0 = x*o - o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1300102314 (base 5) to base 2\nAnswer: 1011111011110010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/3 - 8*g**4 - 70*g**3\/3 - 16*g**2 = 0. What is g?\nAnswer: -8, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 725, 724, 723, 722, 721?\n\"Answer: -d + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 6*q + 5. Let y(x) = x + 1. Let u(g) = h(g) - 5*y(g). Let v(i) = -8*i**2 + 84*i - 76. Let f(n) = 12*u(n) - v(n). Factor f(d).\nAnswer: -4*(d - 1)*(d + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Suppose -5*y + z = -310, s*z = -2*y + 4*z + 121. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1152 and 33329536?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 6*h**2 + 21*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11644 divided by -4\nAnswer: 2911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*m*p + 3*d**2*m + 6*d**2*p + 45936*d**2 + 996693*d*m*p + 9*m - p + 1 wrt d.\nAnswer: 4*m*p + 6*m + 12*p + 91872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13492997847665479.9999961 - 13492998676003561. Let i = h - -828338024. Let k = 57 + i. Round k to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23431 (base 9) to base 14\nAnswer: -59c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127372152 to the power of 1\/2, to the nearest integer?\nAnswer: 11286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(76*(-735)\/2380 + 18)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -17, 2, -4 in increasing order.\nAnswer: -17, -4, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -39. Suppose g*l - 205 = 29*l. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 280480822 and 0.3.\nAnswer: 280480822.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z + 72*z + 1778 = 8*z - 127*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 + 3*r**3 - 4*r**3 + 3 - 3 - 2*r**3 + (2 - 2 + 2*r**3)*(1 - 3 + 1) - 4*r**3 + 6*r**3 + 7 - 3*r**3.\nAnswer: -3*r**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pipipiipippi.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s - n - 88 = 0, 5*n = 2*s - 104. Let a = 151 + -78. Let x = a - s. What is the remainder when x is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h*i**2*w**2 + 6*h*i**2*w - 247*h*i*w**2 + h - 141*i**2*w wrt w.\nAnswer: -14*h*i**2 - 494*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 368766577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 13*f - 31. Let v be k(9). Suppose 2*u + 14 = h + 4, -3*h = 2*u - v. Calculate the highest common divisor of 180 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -4\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - ((-669)\/5 + (-2)\/10)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 24 + 92 = 0. Let m = 53 - d. Calculate the remainder when 70 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.3 or -78?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2353*g**3 + 2*g + 3. Let m be b(-1). Suppose 0 = 4*o - 3*y + 5*y - 1870, 0 = -5*o + 3*y + m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*w + 2300 = 19*w. Solve -w = -7*t + 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.3 in 2, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8079*-0.28\nAnswer: -2262.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**2 - 47*w**2 + 52*w**2 - 152 + 152. Suppose 4*s - 29 - 95 = 0. Let f(y) = s*y + 2 - 2. Calculate g(f(q)).\nAnswer: -961*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - y)*(y - 5 + 5) + 22*y - 22*y - 13*y**2.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqhh when four letters picked without replacement from {k: 2, h: 8, q: 2}?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**3 + 19 - 4 - 8*u**3)*(2 - 2 - u**2).\nAnswer: 2*u**5 - 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:38 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8643741\/8 + 1079123. Let k = -1339 - n. Which is bigger: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33.684 times 1\nAnswer: -33.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 659, 1318, 1977?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/5 and -0.0612488 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h - 6*h**3 + 6*h + (-2*h**2 - 2*h**2 + 0*h**2)*(h - 2*h - h) as m*h + y*h**2 + q + n*h**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (136\/(-60) - -2)*10\/(-4). What is the third smallest value in 4, y, 15, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 21*y + 5. Let t be q(5). Let p = t + -115. Sort 4, -21, p in descending order.\nAnswer: 4, p, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 95*a**2 - 23*a**2 - 37*a**2 - 34*a**2. Let y(w) = 109*w - 6. Let r(g) = -435*g + 25. Let h(j) = -6*r(j) - 25*y(j). What is h(v(o))?\nAnswer: -115*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2249*l**2 - 8*l - 2217*l**2 + 8*l.\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + -1 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 40. Suppose -6*a - 12 = -2*a. What is the common denominator of -101\/8 and h\/(-18) + 2\/a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21403, -21358, -21241, -21052, -20791?\nAnswer: -20458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x = 3*b + 3, -2*x + 2*b = -10. What is the tens digit of (-9)\/(-2)*26\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 81. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 3 + 2*i - 4 + 6*i**2 - 6. Let v be r(6). Let y(j) = -37*j. Let c be y(v). Solve -3*k = 5*u + c, 10 = -2*u - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*b - 67402 - 44738. What are the prime factors of b?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*i**2*x**2 - 36*i**2*x - 6*i*x**2 - 8619*x**2 wrt i.\nAnswer: -12*i*x**2 - 72*i*x - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -0.5 (b) -2 (c) -257\/110104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.57*-0.3.\nAnswer: 2.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 65*m**2 + 127*m + 359. Give x(67).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**2 + 13*l**2 - 21430*l + 21432*l - 1334 to the form u*l + x + j*l**2 and give x.\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*o - 12*o = -15*o + 1960 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 43, 0.17 in ascending order.\nAnswer: 0.17, 43, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n = -98 + 234 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7857 by -3.\nAnswer: 2619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*z - 86*z + 44 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2643336 or -2643359?\nAnswer: -2643336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3795205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1438, 1407, 1372, 1333, 1290?\n\"Answer: -2*h**2 - 25*h + 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/3958911 and 31\/5278548?\nAnswer: 15835644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*b + 6. Do b and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -18. Suppose 3*q + 5*u - 1105 = 0, g*q - 1847 = 2*u - 5*u. What are the prime factors of q?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -614 + 618. Put 5, c, 43, -5 in increasing order.\nAnswer: -5, c, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 12*s**2 - 3*s - 3. Let p be a(-12). Calculate the remainder when -1*(-3 - p) + -4 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) 0.5 (b) -2 (c) 15\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -25.5.\nAnswer: -1.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xffo when four letters picked without replacement from {f: 2, x: 9, o: 2}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:31 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 343 and 57927359.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1831, 3638, 5445?\nAnswer: 7252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8124\/31 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 0 - (-3 - -2). Suppose -2*r = -0*r - 4. Let z = r + l. What is the least common multiple of z and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, -3, 1603, -0.68, -2?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/3*(-14)\/28. Let u = -4.1 + 4. Let o = 0.9 + -0.6. Which is the second biggest value? (a) o (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/3 - 6524*w**2\/3 - 13036*w\/3 - 2172.\nAnswer: -4*(w + 1)**2*(w + 1629)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -22 - 116. Is 10 a factor of -2 + w - ((-7 - -3) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408748789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767299 is divided by 252468.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63.2 - 63. Let g = 23.8 - 24. Which is the second biggest value? (a) g (b) 30 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -845*b**3*f**2 - 2*b**2*f - 872*f**2 wrt b.\nAnswer: -2535*b**2*f**2 - 4*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 434.6 + -434.728. Let f = -533 + 528.472. Let s = c - f. What is s rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -12 - 0 - (-1 - (3 + -4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3258 < -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 393176993 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4*p**2 - 69*d**4 - d**3*p**3 + d**2*p**2 - 7*p**3 - 2 wrt d?\nAnswer: 24*d*p**2 - 1656*d - 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -3*k, 3*z - 1 - 5 = -k. Suppose -w = z*w - 38289. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (198\/45)\/(0 - (-2)\/5). Suppose -2*h - 5*x - q = 0, -2*x - 5 - 12 = 5*h. Let y(f) = f**3 + 5*f**2 + 3*f - 3. Calculate y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6048*k**3*u**2 + 17*k**3*u + 9*k**3 + 6*k*u**2 - 7*k*u - 2035*u + 17 wrt k?\nAnswer: -36288*k*u**2 + 102*k*u + 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 862364103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*d - 2*d - 944 = 5680 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 8:07 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -0.2 (b) -3 (c) 8912 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.3 - 14. Let f = -36.29554 - v. Round f to four decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/13)\/p)\/p*p*p\/((p**(-13)\/p)\/p)*(p**2)**14)**(-18\/11))**(-6\/11) assuming p is positive.\nAnswer: p**(60156\/1573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 9) to base 6\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 5) to base 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 499\/303 + -5\/3. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*s - 5 - 3 + 31 - 10 + 2*s**2 - 8.\nAnswer: 2*s**2 - 183*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*i = -12, -7*i = 4*v - 5*i - 6. Which is smaller: v or -1\/54?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1539508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p - 2. Let j be r(2). Suppose 0 = j*k - 11*k + 42. Let h(v) = -v**3 - 9 + 6*v + 17 + 5*v**2 - 13. Calculate h(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1015, -1003, -991, -979?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 17*a + 8. Let t(k) = -8*k - 4. Determine -4*p(d) - 9*t(d).\nAnswer: 4*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - w**2 + 2*w - 12. Let l be n(0). Let m = -24 + l. Let t be (-6)\/(-4)*m\/(-351). What is the third smallest value in t, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 116. What is i(10)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -22*(-4)\/8 + 3. Suppose k - 605 = -579. Suppose k*n = 27*n - q. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 5 (c) -1 (d) 29 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10627 (base 16) to base 8\nAnswer: 203047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -870, -871, -872, -873?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*u - 8*u + 13*u)*(-3*u + 2*u + 0*u) - 1 + 2*u**2 + 1.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 2*o + 0*o + 11*o**2.\nAnswer: 11*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 20. Let a = 38 + 8. What is the remainder when a is divided by b(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2\/3)\/1)\/((-2)\/(-21)). Suppose 0 = -y*p + 8*p - 250. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, c: 4, x: 4}. What is prob of picking 1 x and 1 p?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 122693 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 469 = 623. What is the tens digit of (j\/(-260))\/((-1)\/(-565))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1828*y**6 + 5*y**2 + 19*y wrt y.\nAnswer: 219360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j**3 - 217 - 212 + 428.\nAnswer: 33*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 + 3. Suppose -j - 16 = 2*x - 56, 5*x + 5*j - m = 0. Let b = -599 + 601. What is the least common multiple of b and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + z + 1. Let q(c) = 3*c**4 - 3*c**3 - 21*c**2 + 21*c + 18. Let j(p) = q(p) - 18*w(p). Factor j(d).\nAnswer: 3*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -79. Let n = h + -4. Solve n*g = -0*j - 4*j - 8, -j - 5 = 2*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0 + 1\/2*a**2 - 22*a = 0.\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 * 175333\nAnswer: -543532.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2955785 divided by 7\nAnswer: -422255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11940, 2, -2\/3, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*v - 179*v - 922 - 11*v**2 + 10*v**2 - 8*v wrt v.\nAnswer: -2*v - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(264\/2))\/2. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-537230)\/(-589) - (2 + (-72)\/38)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 + 45*a**3 + 100*a**2 = 0. What is a?\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 2}. What is prob of sequence haa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 112*w**3 - 2*w**2 + 2*w - 1. Let z(i) = -i**2 + 49*i - 199. Calculate the remainder when r(1) is divided by z(43).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**4\/90 + 4*m**3\/45 - 2*m + 1. Let u(x) be the first derivative of z(x). Find v such that u(v) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57328813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 9 = -31. What is the biggest value in 5, y, 0.4, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115330319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 375.\nAnswer: -2\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122052 is divided by 12330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 8074*a\/7 - 1238760\/7.\nAnswer: 2*(a - 148)*(a + 4185)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -192 + -17?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32336 and 22.\nAnswer: 355696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/91 and -43\/8340865.\nAnswer: 58386055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6744 - -107815\/16. What is the common denominator of t and -89\/1604?\nAnswer: 6416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + r - 3. Let u = 10 + -15. What is the units digit of v(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3\/2)*g*(g**(-1\/5)*g)\/g*(g**(-2\/3)*g*g)**(4\/9))**(-23))**(1\/45) assuming g is positive.\nAnswer: g**(-5543\/12150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**3*o - 9*a**3 + a**2*o - 7046*a**2 - a*o - 6179559 wrt a?\nAnswer: 54*a*o - 54*a + 2*o - 14092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 + 206. Let b be (603\/120)\/(-3) + 1. Let u = b - -4\/5. Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 6, -7*j + 3*j + 3*n = 14. Which is the biggest value? (a) 1\/5 (b) j (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7335 or 7324?\nAnswer: 7324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdr when three letters picked without replacement from {r: 3, d: 2, t: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h - 87. Let b be c(-17). What is the fourth biggest value in -7, b, -1\/7, -2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205123*z**2 + 812*z - 19.\nAnswer: -410246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 866 and 368.\nAnswer: 159344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 2 (c) -54 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + p**3 - 5*p**3 + (p - 4*p + p)*(-82*p**2 + 1193*p**2 + 89*p**2 + 633*p**2).\nAnswer: -3668*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 501450 and 26575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -401128310 to the nearest 100000.\nAnswer: -401100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*k**3 + 0 - 4\/3*k + 2*k**2.\nAnswer: 2*k*(k + 1)*(5*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/((-19)\/75 + (-15)\/(-45)). Which is smaller: w or -147\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -1488*h**5 - 46636*h**4 - 209192*h**3 - 66164*h**2 - 520*h = 0.\nAnswer: -26, -5, -1\/3, -1\/124, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198.6005 millilitres to litres.\nAnswer: 0.1986005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44579 is divided by 185?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 255728 - 999264 = 5*k, -3*k + 2509958 = 4*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*f**3\/9 + 212*f**2\/9 - 448*f\/9 + 64\/9.\nAnswer: -2*(f - 4)**2*(13*f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 6*m**2 - 4*m + 8. Give t(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**4\/4 + x**3\/3 + x**2\/2 + 24*x + 7. What is the remainder when y(0) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 2. Let l be b(5). Calculate the common denominator of (-194)\/(-5)*(-2)\/8 and l + -3 - (-106)\/24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -23*r**2 + 2*r. Let y be k(1). Let a be -2 + -2*y\/(-14). Let v(w) = 2*w**2 + 10*w - 6. What is v(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 29 - 5 = 0. Let p be j\/(-12) + 166\/6. Suppose 0 = -2*u - 2*d + 14, u - d - p = 2*d. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/610812 and 23\/2679.\nAnswer: 610812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108715*l**5 + 6*l - 150?\nAnswer: 2174300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 715\/9 - 308147\/3879. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -126*z + 350. Give s(23).\nAnswer: -2548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -11 + -2 + 2. Suppose 0 = -4*b - 5*i + 88, 0 = -5*b + i + 2*i + 110. Let r = b + m. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 - 2*d**2 + 3*d**2 + (5 + 5 - 6)*(d**2 + 2 - 2).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0904745 + 1.7\nAnswer: 1.6095255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9519 + -8099. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -6, 278.\nAnswer: -8, -6, -3, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9274.1 - -9274. Let l = -0.3 + 0.3. Which is the nearest to l? (a) g (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f0d59 (base 16) to base 7.\nAnswer: 11245653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8538.7*56.5.\nAnswer: -482436.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 0.588?\nAnswer: 0.588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 14*a**2 - 7*a + 25. Let d be p(11). Let q = d - -211. What are the prime factors of q?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -207700 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 280 = 7*j. Let h = 136 + j. Suppose -y + h = -145. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g - 35*g + 5*g**3 + 76*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 775, 774, 773?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 3*d**2. Determine q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -77132062 to the nearest one million.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/23463 and 139\/59532.\nAnswer: 42327252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - n**2 + 5*n - 4. What is t(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 + 2*j**4 + 4*j**4 + 2*j**4 + 0*j + 0*j + (-j**4 + 2*j**4 + 0*j**4)*(267 - 171 - 212) to d*j**4 + g*j**3 + m*j + q + i*j**2 and give d.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1513357 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 3*c + 3. Let p(n) = -3*n**2 + 4*n + 4. Determine -7*j(f) + 5*p(f).\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 48, -4\/15, 150?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.51049 rounded to two decimal places?\nAnswer: 6.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 873.1905 - 873. Let g = -0.23 + n. Round g to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:46 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 + 33965*p + 169999. Determine o(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348247161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**2 - 86 + 86. Let y(f) = f. Determine l(y(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 360905.9 minutes in microseconds?\nAnswer: 21654354000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i**4*i)))\/((i*i\/(i\/((i\/(i\/(i**(-6\/7)*i)))\/i*i)))\/i) assuming i is positive.\nAnswer: i**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 - -89. Suppose -2*q + 22 = t, 5*t + r - 44 = -q. Suppose 4*b + 3 = -l + 2*b, 0 = 2*l - b - q. Solve -l*y = 5*m + 7, 0*m + 10 = -5*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 505203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 4:27 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 116. Let i(c) = 14*c**2 - 1. What is the remainder when x is divided by i(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*m - 348, 19*m = g + 24*m - 51. Calculate the greatest common divisor of g and 7830.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(((-149)\/(-12))\/(3*(-6)\/36)) and 19\/9?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287*0.06\nAnswer: 17.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((238\/21)\/(-17)*3)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8294 by 754.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18372324 to 4 decimal places.\nAnswer: -0.1837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5 - 2*b**2 + 10*b**2 - 2*b + 3 - 8*b - b**3. Let v be z(6). Let a = v - 4. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*a + 110*a = 909513. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2 + 123976048*n + 1921257559712288 = 0.\nAnswer: -30994012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f5 - -2f4?\nAnswer: 3e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.46 times 753.19\nAnswer: -1852.8474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 31116*l.\nAnswer: -4*l*(l + 7779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 1:56 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -28*v**2 + 71*v. Let t(f) = -81*f**2 + 211*f. Let c(r) = 17*d(r) - 6*t(r). Let y(x) = -5*x**2. Determine c(y(b)).\nAnswer: 250*b**4 + 295*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253835*p + 1980 = 253799*p for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - d + 4*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 36. Suppose 2*v + 11060*l = 11062*l + 18, -3*v + 2*l + 14 = 0. Put y, -5, v, 2 in descending order.\nAnswer: y, 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 8274966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**3 + 10*y**2 + 4. Let o(b) = -4*b**3 - 10*b**2 - 3. Let n be (2 + (-4)\/3)\/((-1)\/(-9)). Let w(d) = n*o(d) + 5*q(d). Calculate w(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 10:52 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 14\/140*-178?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/4)\/h**(1\/3)*(h**(-1))**8*(h**(-4\/3)*h**(-1))**(3\/5) assuming h is positive.\nAnswer: h**(-569\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 + 21?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109.2 - -108.42. Which is the second smallest value? (a) 0.4 (b) z (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-12)\/h)\/h*h\/((h*(h\/(h*h**(8\/11)\/h*h))\/h)\/h)*h)\/(h**(-2\/17)*h**26) assuming h is positive.\nAnswer: h**(-6761\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3247823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.340252 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.54221 plus 44.5333652?\nAnswer: 50.0755752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1604 + 1603.9946964. Round v to 4 decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-3))\/4*11. Solve f = -3*g - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 593 (b) -2.342 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -4 - (3 + 0)) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195 - 34 - 102 - 442)*(-6*y + 4*y + 0*y).\nAnswer: 1546*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1235912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 212371, 424739, 637099, 849451, 1061795, 1274131?\n\"Answer: -4*v**2 + 212380*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czzsscszccpsccw. Give prob of sequence zwzp.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131862708*f**2 + 88056447 wrt f?\nAnswer: 263725416*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r - 1. Let n be (1 + (-1)\/r)*0. Suppose 2*a - a - 8 = n. Solve -5*x = g - a, 0*g + 4*g + 18 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/7))**(-15\/7)*(o*o\/o**(-2\/57)*o)\/(o\/(o*o\/o**13)))**(-6\/31) assuming o is positive.\nAnswer: o**(48368\/28861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = a, a + h = 9 - 3. What is the third derivative of 14*u + 15*u - 243*u**5 + 2*u**2 + 18*u**5 - 8*u - 60*u**a + 59*u**6 wrt u?\nAnswer: -120*u**3 - 13500*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/64*4)\/((-66)\/748).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**2 + 287 - 2751*a**4 + 1336*a**4 + 262 + 1312*a**4 wrt a?\nAnswer: -412*a**3 - 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -1)\/(-4*12\/32). Let t(n) = 4*n**2 - 7. Let g(q) = -13*q**2 - q + 22. Determine c*g(x) - 7*t(x).\nAnswer: -2*x**2 + 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310205456.\nAnswer: 2, 11, 1762531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2048176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -48*4\/7*(0 - 7\/6). Solve -10*y = x*y - 84 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*s + 2224, -5*s - 2216 = 2*k - k. Let i = 929 + s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (6 - (-8 + 21 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8*y = -9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453068 divided by 154.\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + s + 26 - 6, 0 = -2*b - s + 20. What is the lowest common multiple of b and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 598*r - 311*r + 16 = 290*r, 18 = 4*b - r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 123?\nAnswer: -11\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:39 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.96182877 to three decimal places.\nAnswer: -3.962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 150\/(-4)*(-130)\/39. What is y rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 5*b + 1. What is q(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 + 6*c - 15*c + 3*c**2 - 13*c. Let t be p(-20). What is the greatest common factor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36793685.\nAnswer: 5, 1657, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**(-3\/26))**(-12) assuming n is positive.\nAnswer: n**(-36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2) + 0)\/(359862\/3552 - 102)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166457 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.594924 to 2 decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 1 + 8. Let w(t) = 5*t + 1348 - 670 - 674 - 4*t. Let m(y) = -2*y - 3. Determine i*m(r) - 2*w(r).\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b. Let t be h(7). Let w = t + 55. Let p be (1 + 1)\/((-4)\/(-6)). Solve 8*k + w = p*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -7. Suppose -2*n = -410 - 246. Let y = n + -4922\/15. What is the third smallest value in y, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014879 rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + -2)\/5*-3. Solve 1\/2*o**2 - 1\/2*o**h + 1\/2*o - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1399 = -150*y - 551 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8852652*q**4 - 19601589?\nAnswer: 35410608*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*20\/24*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 12 + 11\/2*h**2 - 14*h. Differentiate a(m) with respect to m.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2046860, 2046891, 2046922, 2046953?\n\"Answer: 31*i + 2046829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1260) + sqrt(35))\/(sqrt(5) - 2*sqrt(405)))**2.\nAnswer: 1183\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18872183489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q = -31*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -446\/3 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*g + 30, -4*q + 4 + 16 = 4*g. Solve -26*b + 14*b + 36 = q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2820 and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*j**5 + 295*j**4 + 680*j**3 + 240*j**2.\nAnswer: 5*j**2*(j + 4)**2*(7*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (668*p**2 - 1676*p + 1676*p - 148*p**2)*(2*p + 4 + 0 + 1) as x*p**3 + d*p**2 + c*p + u and give x.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/3*l + 1\/3*l**2 + 289\/3.\nAnswer: (l - 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4583.564*-46\nAnswer: 210843.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 56.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 1098 = 7*x. Let j = 123 + x. Sort -3, j, 193 in descending order.\nAnswer: 193, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from mmfmmmmfflf?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*((-55836)\/162 - 1\/(-1)).\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113541, -113543, -113545, -113547, -113549?\nAnswer: -113551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*r - 2274, -2*r = -v - 3*v - 1514. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + (sqrt(847)*2*6 - sqrt(847) - (-4 + -3*sqrt(847))) + -5)*-1)**2.\nAnswer: 9856*sqrt(7) + 2656256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 3.1.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24\/583 in 2, 1060, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 + 0*y**3 - 28*y**3 + 3*y**3 + 2*y**3 + 18*y**3 - 17*y**3.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/21 or -143\/24?\nAnswer: -143\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -180, -354, -526, -696?\n\"Answer: p**2 - 177*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**3 + 15*s**2 - 9*s - 60. What is the hundreds digit of q(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(17)*-1.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.0342 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16)**(-2\/11)*(l**18*l)**(9\/2) assuming l is positive.\nAnswer: l**(1817\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3647294 (base 10) in base 3?\nAnswer: 20212022010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.43385ml in litres?\nAnswer: 0.06743385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*t + 14 - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1839 - -2672. List the prime factors of z.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3459452\/9 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*q + 25, -11 - 4 = -3*d + 2*q. Suppose n + 60 = -2*n. Let c = 35 + n. Solve 0 = -d*y - 3*i + 7*i - c, 0 = 5*y + 2*i - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 51, 4\/3, -2\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 25. Let u(x) = -x**3 + 6*x**2 - 4*x + 3. Calculate the remainder when 21 is divided by u(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/16? (a) -505 (b) 1.5 (c) 3 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:39 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.9 + -3. Let s be 70\/112 + 4\/(-8). Sort 0.1, s, -0.3, b in increasing order.\nAnswer: -0.3, b, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 109, 161, 213, 265?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78519.7 weeks to days.\nAnswer: 549637.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66884299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3040249223.\nAnswer: 11, 19, 765613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*r**3*s - 6*o*r**3 + 123*o*r + o + 12620*r**3 - 4*r*s with respect to o.\nAnswer: r**3*s - 6*r**3 + 123*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1057126 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 t when three letters picked without replacement from dddctwwd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3188 is divided by 82.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -234 in decreasing order.\nAnswer: 4, 3, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 2836?\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, c: 2, t: 1, d: 5, b: 3}. Give prob of picking 1 b and 1 j.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30931 + 49121 = -2859*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -16965161.8.\nAnswer: -84825809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6 + 10 - 13 + 2 - u**2. Let o be t(0). What is the closest to -4 in -3, o, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d = -258 - 426 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 27*o + 12. Let p(f) = -11*f - 5. Suppose 5*n + 25 = 50. Let r(w) = n*s(w) + 12*p(w). Let d(m) = -13*m. Give r(d(t)).\nAnswer: -39*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 68*p**2 - 578*p.\nAnswer: -2*p*(p - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - j - 17 - 7 = 0, 0 = -5*b - 2*j + 12. Suppose -3*l - 7820 = -b*v, -l + 5*v = -3*l - 5175. Round l to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 561.9928 - 562. Let h = w + 0.0271. Round h to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 3*c**2 - 4*c - 1. Let s be w(4). Let r(k) = 5*k. Calculate r(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8424 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:16 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f**2 - 2*f - 8. Let b(k) = -959*k**2 + 175*k + 700. Let j(l) = 2*b(l) + 175*y(l). Let x(m) = 283*m + 2. Give x(j(c)).\nAnswer: 1981*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (1 + sqrt(5) + -3) - (sqrt(5)*2*-1 + sqrt(5)).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/(-12))\/(27\/(-288)*-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855349 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*q**3*y**2 + 468*q**3*y - 217*q**3 + 2*q**2 - 219*q*y**2 - 28*q*y - 70*y**2 - 2*y wrt y?\nAnswer: -194*q**3 - 438*q - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = 5*z, -8 + 2 = 3*z + 4*r. Solve -z*t + 0 = -8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**4 + 4910*g**3 - 5117*g.\nAnswer: -36*g**2 + 29460*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -5*x**7\/6 - 817*x**6\/6 - 23307*x**5\/4 + 155465*x**4\/12 - 17405*x**3\/3 - 1908*x. What is k in t(k) = 0?\nAnswer: -59, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/9)*u)\/u*u)\/u)**(-19) assuming u is positive.\nAnswer: u**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.4 (b) -3.7 (c) 1 (d) -1 (e) -3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/231)\/(5895\/(-453915)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 5*c**2 - 5*c - 6. Let i be h(6). Suppose o + 3*o - 8 = i. Factor 18*y**o + 3*y**2 - 16*y + y - 6.\nAnswer: 3*(y - 1)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w + 743*w**2 - 29 + 946*w**2 - 1722*w**2 - 3*w - 2*w**2 + 3*w + (0 + 2*w + 0)*(-5*w - w + 4*w) + 3*w**2 - 2*w**2 - 3*w**2 + 4 - 4 + w**2.\nAnswer: -40*w**2 - 8*w - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 149468*v\/9.\nAnswer: 2*v*(v - 74734)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1328)\/(-48) + -28)*-9. Suppose -3*n = -6*n - 6, -5*q = -5*n - 20. Suppose -25 = -14*c + 9*c. Put q, s, c, -3 in descending order.\nAnswer: c, s, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 675985*l*q - 852*l - 19*q - 10460 wrt q?\nAnswer: 675985*l - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07886 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*l - 30 = 12, -5*l - 55 = 5*x. Sort x, -2, 0.4.\nAnswer: x, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -23 + 113. Let u = 64 - b. Suppose 0 = 5*r - 21 - u. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 10:31 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 7 - 91. Let d be (-12 + k)\/((-2)\/2 - -2). Solve -4*f + f + 9 = d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000885093278 to 7 decimal places.\nAnswer: 0.0000885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/(-66) - (-201)\/(-134).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2)*(5*k - 4*k + 0*k) + 2*k - k - 3*k)*(41*k + 12*k - 148*k)*(-k - 3*k + k).\nAnswer: -1140*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 226. Let s = o + 102. Suppose 0 = 7*y - s*y - 1176. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 7*s**2 - 5*s + 3. Let v be i(-7). Let b = 553 - 1031\/2. Is b smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2\/7 + 228*p\/7 - 225\/7 = 0.\nAnswer: 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 10. Suppose 4*b - 5 = -1. Differentiate -f**4 + 1 + 0*f**p + b wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -j + 2*j. Let l(g) = 4*g + 1. Let c be l(1). What is the units digit of 24\/(((-1)\/c)\/(4\/j))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 2*u**2 + u - 4. What are the prime factors of r(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 56. Let d be i(-14). Factor d*x - 3\/8*x**2 + 0.\nAnswer: -3*x**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 3*a**2 - 2*a. Let m(r) = -37*r + 5. Calculate the remainder when m(-3) is divided by y(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*k + 5870 + 12201 = 780*k - 5274 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*n - n - 35 + 45 = 0, -3*a + 61*n = -8*n - 144 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (8\/4 - 6). Suppose 4*s + z + 2*z - 128 = 0, 4*z = r. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 126 + 100 = -2*k, -k - 26 = -4*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8549, 17069, 25589, 34109?\n\"Answer: 8520*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1000111011111101000001?\nAnswer: 1000111011111100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 3. Let d be j(-3). Let z = 2.06 + -0.26. Let t = 1.8 - z. Do d and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58647174?\nAnswer: 2, 3, 3067, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -155 (b) -54 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 44*o**3 + 2*o**2 - 2*o + 1. Let b be i(1). Let s = b - 42. Solve s*x + 17 = 3*h + x, 0 = x + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -21.4. Let f = 6.7 - 7. Let r = 0.5 + f. Put d, r, -5 in decreasing order.\nAnswer: d, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 166, 402, 740, 1180, 1722, 2366?\n\"Answer: 51*a**2 - 19*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 9*d**2 - 12*d - 2. Determine f(12).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 450087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -295 (b) 206 (c) 1902\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25651.776 - 25761. Let b = -0.224 - w. Let f = b - 108.9. Is -0.029 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-8))\/(99\/66)*(-2)\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -3*l - 15*t - 12, -t + 14 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -0.1245?\nAnswer: 0.0755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 - -15. Let m = 147 - y. What is the nearest to 0.1 in 3, -4, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -12. Suppose p + 3*p = -3*w + 379, -5*p = -2*w - 445. Suppose -5*d = a - p. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552, -649, -898, -1371, -2140?\nAnswer: -3277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -3*x - 102. Let g = 49 - 50. Put x, g, -2, 3 in ascending order.\nAnswer: x, -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.126*4\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70580 + -70580. Determine i so that -12\/7*i - 2\/7*i**2 + u = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:02 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + g = -4, -2*k - 2*g - g + 4 = 0. Let m be (82\/(-6))\/(k\/(-6)). Suppose -2*q + 113 = -m. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*g + 4*g + 504 = 0. What is the lowest common multiple of g and 1932?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(-6*sqrt(208)*-2 + 6*(-1 + sqrt(208)) + 2 + sqrt(208) + -1 + 4))**2.\nAnswer: -375445 + 760*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -2*m**2 + 1\/20*m**5 + 5\/6*m**3 - m + 1\/2*m**4 + 0. Suppose -2*l - 18 = -5*n, 2*l + 3*n = -2*l - 10. What is p(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 8 - 6)*(2*z + 1 - 1 + (2 - 2 - 1)*(-4 + 4 - 2*z) - 5*z + 5*z - 2*z + (5 - 2 - 4)*(-6 - 1 + 0)*(0*z - 5*z + 3*z)) to y*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*k**3 + (-2 - 1 + 2)*(-k**2 + 3*k**2 + 0*k**2)*(14*k + 3*k + 15*k).\nAnswer: -62*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 minus -191583.1829?\nAnswer: 191801.1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 156\/25)*(-1830)\/549?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 2 + (10 - 34).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2 + 7*o - 15. Determine g(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:27 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111 - 11110001001100111?\nAnswer: -11110001110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(sqrt(605)*3 - sqrt(605)) + 1 + 5 + -3 + 3)**2*-6.\nAnswer: -1176336 + 14256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -238929 and -699 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r - 3. Let g(h) = 414*h - 213. Let b(f) = 59*f - 30. Let s(m) = 15*b(m) - 2*g(m). Give -33*i(z) + 4*s(z).\nAnswer: -3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2354\/1628 + 2\/37. Factor -3\/2*j**3 + 3\/2 - 3\/2*j**2 + v*j.\nAnswer: -3*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 837, 2781, 5835, 9999, 15273, 21657?\nAnswer: 29151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by -22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-5 - (-5 - (10 + -7)) - 8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.5, 0.4, 23 in increasing order.\nAnswer: -0.5, 0.01, 0.4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78129*m**3 + 1004*m**2 - 7*m?\nAnswer: 468774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/3)\/q**(2\/9)*(q\/q**(-4\/5))\/q**(1\/6) assuming q is positive.\nAnswer: q**(97\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629121 is divided by 522.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/117)\/(2\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a**2 + a + 3. Suppose -4 - 1 = -5*d. Let v(k) be the first derivative of -k**4\/4 - k**3\/3 + k**2\/2 + 4. What is d*v(i) - o(i)?\nAnswer: -2*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*n + 7054 = -804 - 8158 for n.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24455627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 4}. Give prob of picking 1 q and 3 c.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.0162 (b) -18\/17 (c) -1\/6 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -621022?\nAnswer: -5\/621022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a + 1. Calculate t(-7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o + 16 = 0. Let w(f) = -15*f + 2. What are the prime factors of w(o)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48870191 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 22321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 5*k**2 + k + 4. Let v be q(5). Suppose 3*m + v = -0*m. Let j be (3\/2)\/((-12)\/10). Which is the second smallest value? (a) 0.5 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 256\/26 - (-2)\/13. Suppose 5 + 25 = -3*c - 5*s, l = -c + 2*s. Let g(x) = -x**2 - 9*x + 13. Let t be g(c). Solve -3*n = t + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1065*w**2. Let l(j) = -2*j - 3. Let u(o) = -4*o - 9. Let h(z) = -3*l(z) + u(z). Determine h(q(s)).\nAnswer: -2130*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51949375 rounded to the nearest one hundred thousand?\nAnswer: 51900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:53 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 4*x = 30*y - 2, 0 = -2*y + x - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7897027 is divided by 1291.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 403279247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -11201?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14591669 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 4, 1, -14, -47?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t + 40. Let c be 52\/10 - t\/40. Let f be c\/(-35) - (-15)\/7. Solve -3*o + f*s = 4*s + 6, 4*o + s + 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1388*v**2 - 3351*v**2 + 1818*v**2 - 5*v**3 + 4*v**3 + 1126*v**2 to the form h + g*v**3 + k*v**2 + b*v and give k.\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 23 = 7*p + 2*u, u = -3*p + 14. Let l(j) = p*j - j - 10 + 10. Let b(z) = 17*z. Calculate l(b(a)).\nAnswer: 68*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316a1 (base 11) in base 12?\nAnswer: 9ba5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/6517264 and -83\/14?\nAnswer: 45620848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0 - 4*g + 3*g**3 - 2*g**3 + 2 + 3*g**2. Suppose 0 = -2*m - 2*m - 736. Let w be (m\/161)\/((-2)\/(-7)). Calculate v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*n**3 + 7 - 7 - 467*n**3 + 21*n - 21*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6850.8 * 0.125\nAnswer: -856.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 85276486 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*c - 2*c - 68, 3*p - 3*c + 78 = 0. Is 11 a factor of (-111)\/4*(17 + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 38194. Let w(s) = -s**2. What is p(w(a))?\nAnswer: a**2 + 38194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110430042 - -3?\nAnswer: 110430045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 11) + -20 + 72\/6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2346564 - 61?\nAnswer: -2346635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 5*z + 6. What is the units digit of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173775 - 122632. What are the prime factors of c?\nAnswer: 199, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/7 - 1486*d**4\/7 + 367532*d**3\/7 - 30133984*d**2\/7 - 31244032*d\/7 + 61011968\/7 = 0.\nAnswer: -2, 1, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 10) + 7 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.545 + 99.4444.\nAnswer: 177.9894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 20 = -4*d. Suppose 11 = -d*t - 4. Let u(a) = a**2 + a + 1. Let v(q) = -3*q**2 + q - 2. Let r(o) = 4*u(o) + v(o). Calculate r(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = -b, -4*r = 2*b + b - 22. Let j(a) = 7*a + 1 - 15*a + 3 + r*a. Determine j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**6\/2700 - n**4\/180 - 5*n**3\/3 + n. Let u(h) be the second derivative of p(h). Find y such that u(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-336)*-7)\/(33\/(-88)). Which is the smallest value? (a) -2 (b) -0.045 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 1.8, -28\/9, -8, 6\/5, -2\/7 in ascending order.\nAnswer: -36, -8, -28\/9, -2\/7, 6\/5, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-29 - (20 + -40))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.222 - 3.778. Which is the second smallest value? (a) g (b) 2\/67 (c) 1\/2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.86 - 0.14. What is the closest to 1\/4 in q, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 + 1 - (1 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1456*b**4 - 6*b**3 - 64524*b**2 wrt b.\nAnswer: -34944*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(8)\/sqrt(4) + 1.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 280768 to the power of 1\/2, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/120 + 5*u**5\/4 - 481*u**4\/8 + 1369*u**3\/6 + 296*u**2. Factor f(t).\nAnswer: -(t - 37)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -1 + 31. Calculate the lowest common multiple of 8*1*5\/10 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 3*j**2 - 5*j**2)*(-5*j - 2*j - j) + (-2 + 2 - 2)*(2*j**3 - 2*j**2 + 2*j**2).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqq when three letters picked without replacement from {q: 7, d: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27)\/18*(-40)\/1.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51009997 is divided by 400.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**3 + 6*l**2 - 1 - 6*l**2 + 4*l**3 - 2*l**2 to x + k*l**2 + z*l + p*l**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 60 = 5*p, 0 = -3*k - 4*p - 36 - 7. Let a(d) be the third derivative of d**5\/60 + 13*d**4\/24 + d**3\/6 - 5*d**2. Calculate a(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-45) + (-7)\/(-5). Let f(q) = -2 + 8 + 4*q + d. Let x(k) = k + 2. What is 2*f(h) - 7*x(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 25*l + 28. Let g be f(-26). Suppose -g*h - 11105152 - 9294844 = 2*n, 2*h = -5*n - 50999996. Round n to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5994.96 - -5895. Let m = p - 7.44. Let d = 107 + m. What is the second biggest value in d, -1, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hskhaakkkkah. Give prob of sequence ash.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-2)\/9*54\/(-72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = 0, -29*j + 30*j - 1068 = -s. What is the greatest common factor of s and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175641477 to the power of 1\/2, to the nearest integer?\nAnswer: 13253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*(sqrt(637) - (1 + sqrt(637) - sqrt(637))))**2 - sqrt(78)\/(3*sqrt(12)\/sqrt(2) - sqrt(6))) + -4.\nAnswer: -29*sqrt(13)\/2 + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o + 26. Let q(j) = -7*j - 51. What is -4*q(h) - 9*s(h)?\nAnswer: h - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + -85. Suppose -2 = p*z - 1410. Suppose 170 = a + 3*f, -a + 3*f + 42 = -z. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*y**6 - 2 + 3 - 1 - 17*y**2 wrt y?\nAnswer: -2280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2506 - -3853. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 1\/3*w**3 - 2 + 0*w + 0*w**2. Let j(p) = 0 + 3*p**2 + 0. Calculate j(n(s)).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -1 - ((-2 - 2) + 5). Suppose 0*k = -c*k + 5. Sort -7, 2, k, 0 in ascending order.\nAnswer: -7, 0, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (324\/(-240))\/(-3 + (3 - 3)). Let d(o) be the third derivative of o**2 + 1\/4*o**4 + 0*o + 0 + 0*o**3 - b*o**5. Suppose d(a) = 0. Calculate a.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - (-25 - -20 - -2)) + 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010100111 + -100011010?\nAnswer: 10110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2139 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -173322331 bigger than -173322332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 12*a - 18. Suppose 3*x = -c + 7*x + 37, 2*x = -4. Suppose 2*s = c + 1. What are the prime factors of m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/120*-10 - (-166)\/4. Let i = h - -42. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1936 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40599 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.5, -5530888 in decreasing order.\nAnswer: 0.5, 1\/7, -5530888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7420685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -34, -28 in increasing order.\nAnswer: -34, -28, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 13*r**5\/6 - 532*r**2. Let o(l) = -2*l. What is o(u(x))?\nAnswer: -260*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3, 2*x + q + 0*q - 5 = 0. Suppose 0 = x*g - g - 6. What is y in 0*y - 18*y**g - 2*y + 20*y**3 - 4 + 4*y**2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*z + 7*z. Suppose z*u + 20 - 60 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u + 2*t + 27, -36 = -5*u + t. Suppose -2*m + 1 = -u. Solve m = 2*l - l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(72) + sqrt(72))**2 + sqrt(2) + -2 + 4 - (1 + (sqrt(120)\/(sqrt(12)*-1))\/sqrt(5))**2)*-6.\nAnswer: -1728 - 162*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - r = 3*l + 4, 12 = 3*l - 3*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 177?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 62748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:56 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 1)*(-2*f + 3 - 3).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8907\/265 or 33?\nAnswer: 8907\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000103829 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82669, -82721, -82807, -82927, -83081, -83269?\nAnswer: -83491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiliiiii. Give prob of picking 2 i.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101633156, 101633159, 101633162, 101633165?\nAnswer: 101633168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bppeeeqbe. Give prob of picking 1 q, 1 p, and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - p - 1 - 2, 5*t - 5*p - 20 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-12)*((-2676)\/8 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11000?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306661 is divided by 701.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 9362*z\/3 - 1177692.\nAnswer: -2*(z - 4267)*(z - 414)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5 + 17 + 12*t - 68 + 12*t. What is the tens digit of f(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124 and 4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, 24, -0.4, -3\/7?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.6121 years in centuries?\nAnswer: 2.106121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 1, x: 4, p: 9}. Give prob of picking 2 s, 1 p, and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 31*i + 69. Let y be f(-17). Let t(j) = -j + 50 - y - 37. What is t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1285872780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 5*b**2 - 7*b + 3. Suppose -4*g = -2*u - 20, 0 = -5*u - 5*g + 7 - 27. Calculate m(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59268 (base 15) in base 7?\nAnswer: -2262062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223 and 1602701?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*u = -45, 4*o + 3*u + 2*u = 41. Suppose 0*n = o*n. Let d(k) = -3 + k + 2 + 0 - k**2. Calculate d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14)*21\/3. Let l be (21 + -21)\/(1 + o*1). Is 1\/(-1)*0 + (67 - l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/11 and -97\/33202.\nAnswer: 365222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5121190300 to the nearest one million.\nAnswer: 5121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023526427256 rounded to four dps?\nAnswer: 0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99351 and 23655?\nAnswer: 496755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9.01 + -0.09\nAnswer: 8.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1838 - -1875. What is the remainder when 128 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13347, -13348, -13349, -13350, -13351?\n\"Answer: -b - 13346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glhvhdddghvhddkdd. Give prob of picking 1 d, 1 v, and 1 k.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by 973.\nAnswer: -66\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150298 rounded to the nearest ten thousand?\nAnswer: 2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = w + 1 - 0, -x + 5 = 0. Suppose s + 30 = w*s. Solve -4*c = -3*r - 4, -c - 3*r = -r + s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggffggggcg. Give prob of sequence cfcg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -23*n - 120. What is the units digit of (-3111)\/n*(-196)\/(-147)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 62*v + 119. Let a be c(-29). Let q be 1\/((-2)\/4)*-10. Suppose a*n + q = 7*n. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.098 + -0.048. Let h = q - 3. Let x = h + 0.25. Which is the nearest to -0.1? (a) x (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7688 + -7684. Suppose 6*p = 2*p. Put w, -5, p in descending order.\nAnswer: w, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/11 + -10*18\/45)\/(0 + 1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 13*r**2 - 2514*r - 1551. Determine b(194).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**4\/24 - q**3\/2 - 2*q**2. Let v be t(7). Suppose 15 + 5 = v*f. Solve 1 = y + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + sqrt(216) + -3*sqrt(216))\/sqrt(12) + ((sqrt(72)\/sqrt(2))\/sqrt(2))**2.\nAnswer: -3*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 750 - 740. Let p(m) = m**3 + 24*m**2 + 24*m + 27. Let l be p(-23). Put -15, 1, n, l in ascending order.\nAnswer: -15, n, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (944*q**2 - 4392*q**2 + 14*q**2)*(-q - 2*q + 4*q).\nAnswer: -3434*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 + 172*o + 170 = 0.\nAnswer: -85, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/12)*(-160)\/48?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/25832 and 125\/2441124.\nAnswer: 4882248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/4 + -4. Let v = -2995 - -2997. Factor 0 - 9\/4*j**3 + 1\/4*j**v - j**5 + 11\/4*j**4 + s*j.\nAnswer: -j*(j - 1)**3*(4*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 6*m - 3. Let s be r(-6). Which is the second smallest value? (a) 1 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450939*l**3 + 2*l**2 - 2*l**2 + l + 450811*l**3.\nAnswer: -128*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -39, -10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -269 - 274 + 545 + l - 10*l**3 as i*l + n + h*l**2 + u*l**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {o: 3, a: 7, u: 3, z: 6}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55, -813, -2253, -4259, -6825, -9945, -13613?\n\"Answer: a**3 - 292*a**2 + a + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2375 - 25*z**2 - 2375.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1434, 1443, 1452, 1461, 1470, 1479?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 16. Suppose -h*d - 44 = 4*w + 6, -80 = 4*d - 2*w. Is (-1001)\/d + 4\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/4 - 4659*q**4\/4 + 459714*q**3 - 5817750*q**2 + 14252700*q - 8893500 = 0. Calculate q.\nAnswer: 1, 2, 10, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14020, 10825, 7628, 4429, 1228, -1975, -5180?\nAnswer: -8387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - -1 - (7 - 1). Let x = -6.4 - -0.4. Let v = x - -5. Sort -2\/5, q, v in decreasing order.\nAnswer: -2\/5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -3378*w**5\/5 + 22*w**2 + 23*w + 2198. What is the second derivative of d(q) wrt q?\nAnswer: -40536*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 3051*x - 3053*x - 52 - 8, -5 = -2*d - 5*x for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1300 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 226*i = 231*i + 2 + 2, -i = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -5*x**4\/12 - 5*x**3\/6 - x**2\/2 + 12*x. Let k be a(-2). Is 1241\/8 - k\/(-88) 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 10:00 AM and 5:52 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -483*r**2 - 31*r + 31. What is n(1)?\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-9\/5)*m**25)**48)**(-2\/11))**(-1) assuming m is positive.\nAnswer: m**(13344\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5845254cm?\nAnswer: 5845254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1668892*g + 55883?\nAnswer: -1668892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 94*u**2 + 1431*u + 452. Give p(-75).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30321 - -72761. Does 41 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2*sqrt(684) + sqrt(684)) - (sqrt(684)*-1 + sqrt(684) + 2)) + -1 - (-1*sqrt(684)*-1 + 4)*-6)**2.\nAnswer: 756*sqrt(19) + 6597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 2*f + 45*f**4 - 3 - 101*f**2 + 102*f**2 as d*f**3 + g*f**2 + m*f + k*f**4 + c and give k.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/21, 1016 in increasing order.\nAnswer: -1\/4, -2\/21, 1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-44))\/m)\/(m**(-1\/11)\/m) assuming m is positive.\nAnswer: m**(496\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**6\/160 - 3*z**5\/40 + 11*z**2 - 1. Factor t(u).\nAnswer: -3*u**2*(u + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*o. Suppose o = 5*x - 3*u - 611, -6 = -u - 3. Let d = x - 54. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {z: 2, a: 7, h: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = n + y, -34 = -5*n + y. Let f(g) = g**2 - 6*g. Let j be f(n). Let q = 33 + j. Calculate the greatest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + t + 11 = 0, -w - 2*t = -2 - 3. Suppose 0*q = -13*q + 78. What is the remainder when q is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.3813t in milligrams?\nAnswer: 296381300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*j - 7, j = -j - 4*i + 20. Solve -12 = -j*n + 2*w, -5*w = 2*n - 10 + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6573)\/33 - (-8)\/44. Is j > -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 - 218. Let r(j) be the second derivative of j**4\/12 + 3*j**3\/2 + 3*j**2 - j. Determine r(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205 is divided by 339?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32282 + 32282.00101374. What is t rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54878.55 months to millennia.\nAnswer: 4.5732125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3745, -3750, -3759, -3766, -3765, -3750?\n\"Answer: d**3 - 8*d**2 + 12*d - 3750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = -24. Let l = g - -2. Let k(d) = d**3 - 5*d**2 - 3*d + 4. What is the smallest common multiple of k(6) and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 8:11 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3519 and -162?\nAnswer: 57.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 3*b, 2*b + 5*m = 4*b + 6*m + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -28\/9 (b) -4 (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 + 19)*(-s + 0 + 0 + (-2*s + 2*s + 2*s)*(2 + 1 - 5)) as y + b*s and give b.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1797*n + 1794*n - 9 = -3*g, 6*n = 3*n - 4*g + 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -17*u**5\/12 - u**4\/12 + u**2. Let p(b) = 21*b. Let d(h) = 8*h. Let x(o) = 13*d(o) - 5*p(o). Calculate x(c(q)).\nAnswer: 85*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -184. Let h = 140.99429 + t. What is h rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 594, 595, 596, 597, 598?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (384*a - 207*a - 202*a)*(3 + 1 + 7).\nAnswer: -275*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-5))\/((-99)\/(-110))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260 - 258. Suppose -3*o + 4*o = 0. Suppose 0 = 2*s - o - 8. Sort n, -2, s in increasing order.\nAnswer: -2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/20 - 3*z**4\/4 - 5*z**3\/6 + 11*z**2 + 33*z. Let h be m(-8). Does h = -7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150302.\nAnswer: 2, 223, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*u - 4*d, 4*u - d - 9 = 26. Let r = 12 - u. Find the second derivative of 3*b + 6*b**2 - 2*b**r + b - b**2 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 44 - 25)*(0*y - 2*y + y) - y + 5*y + 3 - 1)*(0 - y**3 + 0).\nAnswer: 14*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 2*o - 3. Let b(z) = -z**3 + z - 2. Let s = -67 + 68. Let l(v) = s*b(v) + w(v). Give l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400866 and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.11 (b) 1 (c) 276 (d) 1\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (3 + -7))*(-32)\/12. Let b(v) = -v**3 - 9*v**2 - 9*v - 6. Let g be b(x). Solve 7 - g = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 8*d**2 + 6*d + 1. What is m(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose 1 = -5*c - 0*c + 4*x, x = -3*c + 13. Sort 4, c, o in descending order.\nAnswer: 4, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 0. Let y = 1.6522 - 1.4522. What is the third smallest value in 5\/3, r, 9, y?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/4 + m**3 + m**2\/2 - 3*m\/4 - 1\/2.\nAnswer: -(m - 2)*(m - 1)*(m + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024041427?\nAnswer: 17, 60237731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -616975 and -369.298805.\nAnswer: -617344.298805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1889*z - 30221. Calculate m(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/4712 and -75\/56.\nAnswer: 32984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from ollllllllllol?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*l - 15. Let w be l\/(-9)*-3 + 1. Let i(f) = -6*f**2 + 0*f**2 - 5*f + 7*f**2 + 3. Calculate i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-496)\/(-30))\/(-4) + (-44)\/(-330)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216010 and 7640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 46*z**2 + 61*z + 1185. Let t be o(44). What is the closest to -1 in t, -0.18, -20?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06250695416 rounded to 5 decimal places?\nAnswer: 0.06251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2 - 4*q**2 - 3*q - 5*q**2 + 11*q**2 + 5. Let o(t) = 2*t - 4. Let a be o(3). Let j be s(a). Solve 2*z = -5*r - 3*z - 25, j*z = -3*r - 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v + 0)*(-1007 + 1011 - 169*v + 89*v - 85*v).\nAnswer: 330*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -302*k + 304*k. Solve 19*y + 3*a = k*y - 22, 8 = -2*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 + 392*m**2 + 1386*m + 198728. Give c(-131).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 4*a - 16. Let b be v(-7). Suppose -39 - 6 = -b*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*r - 57\/2*r**3 - 21\/2*r**4 - 75\/2*r**2 - 6 - 3\/2*r**5.\nAnswer: -3*(r + 1)**3*(r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -198, 0.3, -0.5?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z + 6*z. Which is the smallest value? (a) z (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 - 13*k - 169. Let x(g) = -4*g**2 - 11*g - 165. Determine 5*u(y) - 6*x(y).\nAnswer: -y**2 + y + 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*x + 3*l, 3*l - 4*l = -2*x - 4. Suppose -5*f = -x*f. Solve 0 = -d - 4 - f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 10*i**2 + 734*i - 10271. What is g(14)?\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 78 = 178. Let a be w\/(-6) + 8\/(-12). Suppose -2*q + 3*q = a. Calculate the smallest common multiple of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1\/8297, -3\/5 in decreasing order.\nAnswer: -1\/8297, -3\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -175 + 5?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1836 and -149\/1038.\nAnswer: 317628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 - 0\/(-6 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -1010111000000?\nAnswer: 1010111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 0 - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/(9\/(-108))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 31*t**3 + 681*t**2\/2 - 4340*t + 9800.\nAnswer: (t - 4)**2*(t + 35)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*n - 71*n - 45*n)*(n + 2 - 2) in the form u*n + m*n**2 + w and give m.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2806 (b) -1 (c) -10\/13 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 9416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(108)*-1 - sqrt(108)))\/sqrt(9))\/(sqrt(4) - sqrt(40)\/(sqrt(40) - sqrt(10)) - -3*2*sqrt(4)))**2 + 4.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w**2 - 43*w**2 - 13*w**2 + (-2*w**2 + 0*w**2 + 0*w**2)*(1 + 3 - 2) + 0 + 0 - 2*w**2 - 7*w**2 + 7*w**2 + 7*w**2.\nAnswer: -62*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10479439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/9 - 32*m**2\/9 + 58*m\/9 - 28\/9 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from amkmaaanmuu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 - 4*q**4 + q**4 + (-2*q**3 + 3*q**2 - 3*q**2)*(4*q + 10*q + 5*q).\nAnswer: -43*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -683*a**6\/30 + a**4\/12 + 429*a**2\/2 + 3*a - 69. What is the third derivative of c(f) wrt f?\nAnswer: -16392*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*n**3 - 358*n**3 + 3*n**2 - 3*n**2.\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * -0.12.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -701a27 (base 12) to base 15\nAnswer: -24709d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 208, 843, 1902, 3385, 5292?\n\"Answer: 212*z**2 - z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*l + 2)*(-1 + 224*l**3 - 12*l**2 - 225*l**3 + l**2 - 2*l) in the form u + r*l**4 + q*l + k*l**2 + t*l**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 6*l + 4. Let k be h(5). Let z(a) be the first derivative of -9*a**4 - a**2 - a - 2. Is z(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165*u**3 - 66*u**2?\nAnswer: -990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -677 + 3015. What are the prime factors of n?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/1251 and -4\/9.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 173*w**3 - 3*w**2. Let d(i) = 43*i**3. Give -9*d(h) + 2*f(h).\nAnswer: -41*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(-3)*-13*2\/(-78).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**8\/80 - 7*o**5\/40 + 8*o**3\/3 + 14. Let r(p) be the third derivative of x(p). What is the second derivative of r(g) wrt g?\nAnswer: 252*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 + 2*z + 2461 - 1235 - 1229)*(6 + 0 - 3).\nAnswer: -18*z**2 + 6*z - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, 1\/4, -4 in ascending order.\nAnswer: -4, 1\/4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 2*f + 136. Determine m(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.31 - -0.11. Let n = -0.9 + 0.8. Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjkijjjqjiqkjggqkj. Give prob of picking 1 k and 2 i.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -87.73798 + 4\nAnswer: -83.73798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41551541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -0.04, -0.4, 22?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/5)*a**9*a*a**(2\/9)*((a**(-9)\/a)\/a)\/a*(a\/(a*a**(2\/23)*a)*a**(4\/7)*a)\/(a**(-6)*a**(-2\/17)*a) assuming a is positive.\nAnswer: a**(569557\/123165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000043759 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10701500.6 rounded to the nearest one thousand?\nAnswer: -10702000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16080 divided by 2.\nAnswer: -8040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, w: 2, r: 1}. Give prob of picking 2 w and 1 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -108 (c) -26 (d) -93 (e) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2795694\nAnswer: 5\/2795694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(108)*-2)\/sqrt(9))\/(5*1*sqrt(12)\/sqrt(2)) + 4.\nAnswer: 4*sqrt(2)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*c = -0*g + 741, 0 = -2*c + 4. Let q = 221 - g. Suppose -t = -5*t + q. Calculate the remainder when t is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2338 - -2858. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24803580 by -4.\nAnswer: 6200895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q - 2*u = -80, -2*q + 3*u + 1 + 61 - 36 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 + -62. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -645 + -14702?\nAnswer: -15547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Let g(b) = -b**3 + 8*b**2 + b - 40. Let z be g(6). Find u such that -w + 6 + z*u**2 + u - u**3 - 39*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/9)\/((-3)\/(-18)). Let q(z) = 18*z - 6. Let m(o) = 1. Calculate p*m(u) + q(u).\nAnswer: 18*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 u when four letters picked without replacement from {u: 9, z: 2, t: 1, s: 3, h: 2}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((30 - 21) + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 + 102150 + 4*u**2 - 102154 - u)*(0 + 2*u + 0) to c*u**2 + r + h*u + i*u**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.2917 times -0.38\nAnswer: 0.490846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-4\/5)*y*y*y*y*y**(-8\/7)\/y)\/(y**(1\/41)\/(y**29*y)))**(-5\/2) assuming y is positive.\nAnswer: y**(-24849\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 35*k**6\/6 + 153*k**2\/2 - 14*k - 5. What is the first derivative of c(d) wrt d?\nAnswer: 700*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161 + 161. Let z(g) be the third derivative of 0*g + g**2 + 0 + 1\/60*g**5 + p*g**3 + 0*g**4. Let x(n) = -5*n**2. Determine z(x(j)).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -40*z**3 - z**2 + 10*z + 75. Is g(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from seseeseeeseeseee?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28336032 and 6296896.\nAnswer: 56672064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.74368226 rounded to 2 dps?\nAnswer: -75.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 806, 1650, 2530, 3446, 4398?\nAnswer: 5386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 191*u - 3. Let d(s) = 288*s - 4. Calculate -7*c(n) + 5*d(n).\nAnswer: 103*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4270538 and 43\/885.\nAnswer: 64058070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2. Suppose -6*h = 4*t - 10*h - 4, 4*h = -5*t + 41. Let o(m) be the third derivative of 5\/12*m**4 + 0*m**3 + 0*m - t*m**2 + 0. Calculate a(o(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34649 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 2610?\nAnswer: -2610.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4489.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4)\/d*d**(-7))\/((d**(-1)*d*d)\/(d*d**2)))**(1\/9))**(7\/5) assuming d is positive.\nAnswer: d**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38675717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 32, 53, 74?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7557)\/916)\/(3*2\/8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j - 4. Let n be u(1). Factor 18*r**n + 6 + 3*r - 29*r**2 + 8*r**2.\nAnswer: -3*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 14\/138697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-9)*(-41205)\/820\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000101447624 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51, -173, -377, -663?\n\"Answer: -41*o**2 + o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Let c be (-1 - -3)*12\/(-8). Let w = 7 - 11. Sort w, j, c.\nAnswer: w, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u + 6. Let p be s(4). Does 8 divide (-8)\/p*(44 - 14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**3\/3 - i**2\/2 - 6*i - 18. Let p be m(-2). Solve 5*x + 15 = -p*x - y, 5*x = -5*y - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.01 + 1. Let p = -3 + 2.9. Let g = p + -4.9. Which is the third biggest value? (a) x (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213.9 - 214. Let i = -0.98 + -0.02. Let z = i - -2. What is the nearest to 1 in a, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 220 = -13*q. Let y(l) = -12*l - 12. Let w(p) = -30*p - 30. Let o(h) = 5*w(h) - 12*y(h). Let s(b) = b + 1. Give q*s(v) - 4*o(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4) + (-1)\/3 + 79100\/(-21000)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9648 - 9648.1. Which is the closest to 1? (a) i (b) -10\/7 (c) -2\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 148. Give s(-13).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 50, 86, 122?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7910*s + 7909*s = -5*y + 16, 0 = -7*y - 3*s + 40 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252100 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592487 and 6996?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 10*x**2 + 9*x - 11. Let q be v(-11). Suppose -q*a + 10*a + 11 = 0. Let w = -2 + a. Solve 0 = 4*r - r - w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/((-6)\/(-162)) - -6. Let i(w) = 16*w**2 - 3*w + 3. Let m(z) = z**2 + z - 1. Determine r*m(f) - i(f).\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 0.5, 23\/4, 3.7659?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -392 by 7.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.58, -3\/7, 3, -0.13588, 2\/25?\nAnswer: -0.13588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.64 (c) -3\/8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1\/36 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 6. Suppose 4*k + 9 = z, k - 5*k - 44 = 4*z. What is the units digit of l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12802131 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15958856, -15958865, -15958874, -15958883, -15958892?\nAnswer: -15958901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-3*p + p + 4*p) + (181 - 440 + 111 + (1 + 5 - 2)*(6 + 2 - 3))*(4*p - 5*p + 0*p + (2 - 6 + 2)*(-3*p + 0*p + p)).\nAnswer: -382*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63053 + 514?\nAnswer: 63567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1878 divide 34378668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -242? (a) 1 (b) 0 (c) -1 (d) -4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 4*g**2 - 13*g + 2. Let m be t(6). Which is the nearest to -107? (a) m (b) -2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 2*v**2 + 6*v - 5. What is the units digit of z(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 132 = 2*c + 2*c, 4*h + 5*c + 168 = 0. Let a = h + 121. Calculate the common denominator of 3 + ((-1264)\/a)\/4 and 1\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515038 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*t + 2. Let k(v) = -1311 + 412 + 426 + v + 472. Calculate k(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/((-726)\/374) + (-121)\/(-7). Factor 12\/7*j**2 + f*j**3 - 12\/7 - 2\/7*j.\nAnswer: 2*(j - 1)*(j + 1)*(j + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 9. Let b(q) = -31*q**3 - 2*q**2 - q. Let x be b(r). What is the units digit of (x\/(-9))\/(2\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11894351.4 rounded to the nearest one thousand?\nAnswer: -11894000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 3:37 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2 + 4*f + 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from qhhqqhhqqht?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -17601.89\nAnswer: -211222.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5476247 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7606562248 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l**(2\/25))\/l)\/l)**(2\/21))**(7\/3) assuming l is positive.\nAnswer: l**(4\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 25*d**2 + 58*d + 1. Calculate o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -1\/4*x**5 + 7*x**2 + 0*x**3 + 2 + 1\/40*x**6 + 3\/4*x**4 + 0*x. Solve q(s) = 0 for s.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 23 + -29 + -6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -7 + 7 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/1)\/((-5)\/15). Suppose -3 = -d*y - 0*y, 3*j = y + 116. Calculate the highest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*l - 286828 = -28*l + 193561. Calculate the remainder when l is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 547\/4794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -268? (a) 5 (b) -5 (c) 121 (d) -2 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7570 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from fyyf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0263 (b) 0.2 (c) 1\/10 (d) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 226\/59 or -0.771?\nAnswer: 226\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*y = -5*u - 8, -5*u + 2*y = -30. Suppose 107 = -u*p - 5*k, 4*p - 3*k = -54 - 61. Let z = p + 44. Solve l - z = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11)\/(d\/(d\/((d\/d**0)\/d))))**6\/((d**1)**(-4\/13))**34 assuming d is positive.\nAnswer: d**(1652\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000225824217 rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*y**5 - 5*y**2 - 24*y**5 + 17*y**5 wrt y?\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24421*f + 24424*f - 2*l = 24, 2*l = 6*f - 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 + (10 - (-19 + 48 + -37)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*n**2 + 11412*n - 11412*n - 10*n**3 + 78*n**2.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -221*o. Let l(p) = p**2. Calculate w(l(s)).\nAnswer: -221*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-30)\/4)*-4. Let q be (-9)\/r - (-11)\/(-14). Which is the closest to q? (a) 1\/4 (b) 2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3244.63m?\nAnswer: 3244630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1) + 306 + -14. List the prime factors of (6\/18)\/(1\/w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 5) + 1)*1808\/678.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/((-2)\/3*-1). Suppose -i = -3*b - 338, 26*b - 5*i = 25*b - 136. Let r = 120 + b. What is the greatest common factor of f and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/297 and 52\/2349?\nAnswer: 25839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 136. Let p be (200\/(-28))\/(-25) - 6*2\/(-7). Sort x, -5, p.\nAnswer: -5, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12340342112 - -4?\nAnswer: 12340342121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2 + 2*f + 6. Let q(r) = 6*r + 5. Let z(n) = 3*n + 2. Let b(x) = 4*q(x) - 9*z(x). Let l be b(2). Is m(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96238.04 millimeters to centimeters.\nAnswer: 9623.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1067.2 times -44.327\nAnswer: 47305.7744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 1. Let h(d) = d**3 - 6*d**2 - 11*d + 10. Let x(g) = h(g) - 3*k(g). Give x(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**6\/15 + 6*y**5\/5 - 15*y**4\/2 + 50*y**3\/3 + 57*y. What is b in x(b) = 0?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 6*w - 11. Let g be c(-8). Suppose 0 = r - x - 19, -4*r - g*x = 21 - 61. Factor 99 + r*j - 35 + 17*j + 4*j**2.\nAnswer: 4*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 19. Let o be j(-11). Suppose -7*q + o*q - 5 = 0. Suppose -q*l + 331 = -319. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-6 + (-3 - -6)). Suppose 3*n = f - 48, w*n + 80 = -f - 2*f. Let i(u) = 10*u + 10. Let x(z) = 3*z + 3. Calculate n*x(d) + 5*i(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -774 * -5.\nAnswer: 3870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121128 or 121181?\nAnswer: 121128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1089 and 36.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 2*a**2 + 6*a - 6. Let c be j(3). Suppose -5*q = -b + 49, 0 = -c*b - 2*q + q + 83. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 102\/45*(2 + (13 - 20)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 - 88*o + 418. Calculate t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a - 8. Suppose -3*c + 18 = 24. Let g be j(c). Suppose -w = w + 2*m - g, -w = -2*m - 3. What is the greatest common divisor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -5\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -340 - -342. Let s = 5 - 3. Solve d - 8 = s*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2596 and 25\/2?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8272 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/52*1\/((18\/6)\/(-6))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3576366963 to the power of 1\/2, to the nearest integer?\nAnswer: 59803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49670 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -1, -16892 in descending order.\nAnswer: 6, -1, -2, -16892","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/12 + (-9)\/(-2). Solve 3*c = 4*w + 6, 0 = -4*w + j*c + c - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 19*g**2 - 20*g - 24. What are the prime factors of f(-10)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -12*a - 5. Calculate the remainder when o(-2) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 4. Suppose -5*u = 7*c - 5*c - 14, u - 19 = 5*c. Let z(y) = -y**2 - 9. Determine u*z(o) - 9*w(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1883 + -1713.9. Let j = q - 169. Which is the fourth biggest value? (a) 0.2 (b) j (c) 5\/4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let d(g) = -130 + 130 + 10*g. What is w(d(s))?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.16 + 0.66. Let x = 1.2 - 1. Which is the closest to 1? (a) x (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-140)\/105)\/((-4)\/(-18)). Let r(n) = -n**3 - 5*n**2 + 8*n + 13. Give r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.12 (b) 1 (c) 2 (d) 3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6 + 4 + 25*b - 8*b. Let n(d) be the third derivative of 11*d**4\/24 - d**3\/6 + d**2 - 329*d. Determine -5*l(o) + 8*n(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -34*h + 281. Let n be f(8). Solve 0 = -22*l + 19*l + n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/14 + 36\/126. Are -2 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/60*(-1317)\/1*1. Let q = -87 + a. Determine z, given that 0 - q*z - 2\/5*z**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/21 - 2)\/((-2)\/(-14)). Suppose 0 = 4*r - 2*r. Solve r = -6*k + s*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y - 6*y**2 + 0*y**2 - 7*y - 5*y - 3*y to the form m*y + z*y**2 + b and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4361*m - 8849*m + 135 = -4397*m + 4230 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 75 from 27476384747.\nAnswer: 27476384672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-34*d - 101 + 21*d + 15*d + d**2).\nAnswer: 2*d**2 + 4*d - 202","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 2:03 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140044 (base 6) to base 12.\nAnswer: -7624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w + 136. Give z(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9*((4 - 3) + 1). What is the closest to 1\/2 in -1\/2, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*z = 26, 2*z = -5*c + z + 130. Suppose c = 7*q + 5. What is the least common multiple of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -241 + -33?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 253*d**5\/6 + 19*d**4\/24 + 3*d**3\/2 + 2*d**2 - 76. What is the second derivative of f(j) wrt j?\nAnswer: 5060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.02 in -0.3, 3, -0.5, 2089.1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f + 70 = 39*f. Suppose -t - f = 2*c - 6*t, t + 5 = 3*c. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100102112101212 - -210?\nAnswer: 100102112102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.430021296 + -1.4299. Round k to 6 dps.\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06104 * 3.\nAnswer: -0.18312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171135529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -3*g**2\/2 - 7280. Let r be (-2)\/8 - 18\/(-8). Let n(c) = -r*c - 2*c + 0*c. Calculate u(n(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)\/(sqrt(125)*-1))\/(3*4*sqrt(40)))**2.\nAnswer: 1\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0, 8\/15, -33, -3 in decreasing order.\nAnswer: 8\/15, 1\/5, 0, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(48 + (-5890)\/124)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (594*c**2 - 594*c**2 + 94*c**5)*(0 + 0 + 3).\nAnswer: 282*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/6 - 6\/9. Let w(g) = -10*g - 6. Let i(h) = -3*h - 2. Let c(q) = 7*i(q) - 2*w(q). Calculate c(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9238370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/81 and 137\/528.\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/(180\/(-20)) - 80\/512*108?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -2327 + 752. Let k = q - 94. What is the third derivative of 0*c - 93*c**5 + k*c**5 - 16*c**2 + 0*c wrt c?\nAnswer: -720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*y + 9, 3*y - o + 142856 - 142859 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.1711\nAnswer: 0.08555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-734)\/(-18) + 8\/36. Let a(s) = r - s - 41. Let f(o) = o**2. Determine f(a(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 65 + 275. Calculate the lowest common multiple of 5 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918046 is divided by 1048?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 + 4*p - 2. Suppose -5*i = x + 8, -3*x - 2*x = -4*i - 18. Let t(f) = 13*f**2 - 17*f + 9. Calculate x*t(g) + 9*q(g).\nAnswer: -g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -305, 17, 5, 12, -13, 0.1, -0.04?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.77*-6034.3.\nAnswer: -4646.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) 0.189 (c) 5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/6 + 1\/2. Let a = 46 + -231\/5. What is the nearest to -1 in a, -5, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 3852?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*f = -z + 2, 0 = 5*z + 4*f - 4. Suppose z*j + 4 = 2*j. Let n = j - -9. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 13538?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v - 7*v + 2 + 4*v)*(3*v**2 + 2*v**2 - 3*v**2).\nAnswer: 24*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*-424\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 233462261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 213 + -213.03. Let o = -9.059 - -0.059. What is the smallest value in -4, s, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12319?\nAnswer: 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*15\/16*10*(-42)\/45\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72501099 a multiple of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 16399505.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -104, -174, -246, -320, -396, -474?\n\"Answer: -c**2 - 67*c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l - 134. Let o be h(-17). Let f(t) be the second derivative of -5*t + 0 + 2*t**o + 0*t**3 + 0*t**4 + 3\/20*t**5. Differentiate f(u) wrt u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0.3. Let v = 0.2 - q. Let i = 1.6 - 1.1. What is the smallest value in -0.1, v, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 2518245?\nAnswer: 105766290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1318069, 1318100, 1318131, 1318162?\n\"Answer: 31*a + 1318038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*q + 827 = 574*q - 91 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1354791, -5419148, -12193075, -21676572?\nAnswer: -33869639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + z**2 + z - 1. Suppose -30 = 25*m - 55. Let p(a) = 44*a**3 + 36*a**2 + 16*a - 24. Let r(c) = m*p(c) - 24*k(c). Factor r(u).\nAnswer: 4*u*(u + 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - a + 8, 4*a - 18 = -3*u + 11. Suppose 0 = 30*d - 13449 + 13329. Solve -4*q + d*z = -28, -2*q + u*q - 4*z - 13 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d764 (base 16) in base 2?\nAnswer: -1111101011101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**3 + 95*b - 21. Let w(h) = -2*h**3 - 32*h + 7. What is -3*j(i) - 8*w(i)?\nAnswer: i**3 - 29*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2142 - -105722.\nAnswer: 103580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 11*f + 18. Let h be z(9). Suppose -2*p - 6 = -4*j + 2, h = -2*p - 4*j + 24. Solve -p*g = -2*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14991*r**5 - 4711*r**4 + 124442691*r**2 wrt r.\nAnswer: -899460*r**2 - 113064*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 - -10010110011111010?\nAnswer: 10010110011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1719 + -1233. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -6 + 2 + 2. Suppose 0 = -m*k - 0*j - 2*j, -3*j - 20 = -2*k. Let f = -44 + 42. Which is the biggest value? (a) f (b) -3\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26348 is divided by 26178.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17639, -17638, -17637, -17636, -17635?\n\"Answer: k - 17640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.002 + 0.002. Let k = -1.95 - 0.05. Let i = -704.6 - -705. Which is the closest to -2\/3? (a) i (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 7*c**3 - 5*c**3 + 195 - 196 as o*c**3 + x*c**4 + b*c + r + s*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 52 = h. What is the highest common factor of h and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 + 1*928\/(-1848). Let x = 21\/22 + j. Which is the closest to 0? (a) x (b) -0.5 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3124 and 156728960.2?\nAnswer: 156725836.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38673 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55c (base 13) in base 12?\nAnswer: 64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = -0*g, -4*q - 5*g = 75. Let p = q + 34. Let a = p - 9. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 4*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(13872\/782) - 2\/(-3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34415526 and 16.\nAnswer: 275324208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - -2. Let k = -3 - -8. Suppose 3*o - k*o = 0. Which is the second biggest value? (a) -1 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53555 + 91019. Does 168 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence did when three letters picked without replacement from {i: 2, t: 4, f: 7, d: 3, r: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 526 and -56?\nAnswer: -29456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 19*p**2 - 11*p + 8. Let a be i(-6). Suppose a + 566 = v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146.5 + -149. Let u(c) = c**3 - 7*c**2 - 20*c + 18. Let g be u(9). Is o != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/494 and 115\/342?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*d - 5*n, 4*n - 17 = -2*d + 43. Calculate the least common multiple of d and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 300 = y - 4*s, -3*y + 910 = 4*s. Let j = y + -178. Suppose 2*b + j = 6*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7808851427 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 86*o**2 - 2*o + 3. Determine k(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.3899959812 + -24.39. Round l to seven decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20457\/109058 or 1?\nAnswer: 20457\/109058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 + 17 - 12) + (8 - (-2 - -2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.54 - -28.54. Let y = 27.5 - t. What is the second smallest value in 1\/2, y, 9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = b - 133, 86*b - 91*b - f + 760 = 0. What is the lowest common multiple of 255 and b?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3089*a - 3089*a + a**2 + a**2. Let s(d) = 1 - d - 1. Give s(w(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4 = -h, 3*h + 59 = -7*x + 111 - 58 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + (sqrt(77) - sqrt(77)*2)*-4)))*-2)\/(sqrt(21)\/sqrt(3)*2 - (sqrt(7) - (sqrt(63)*6 - sqrt(7)))).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 12:58 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)\/(-4*4\/(-112)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8396*y - 35 = 8403*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-12)*4\/3. Which is the third smallest value? (a) -1\/7 (b) p (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 49*m**3 - 3*m**2 + 1. Give n(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/16078 and 19\/10.\nAnswer: 80390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159867083 a multiple of 1654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(-3\/2)\/j)\/j))\/((j\/(j\/(j*j*j**(-12\/7))))\/j*j))\/(j**5\/j**(-2\/5)) assuming j is positive.\nAnswer: j**(-153\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48130*-562.\nAnswer: -27049060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 21 - 6. Suppose 0 = 5*y + 3*n - 245, n + 204 = 4*y + o*n. Let g(u) = 5*u - 18. Calculate the remainder when y is divided by g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-27)\/72*-1*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5*(-44)\/2904\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/8 + 2\/(-8). Let o(s) = s**3 - s**2. Let f(b) = 5*b**3 - 8*b**2 - 2. Let i(z) = l*o(z) - f(z). Is i(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-275\nAnswer: 137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -28572*t**3 + 257145*t**2 + 27*t = 0?\nAnswer: -1\/9524, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 20*o**2 - 11*o. Let t(i) be the second derivative of 7*i**4\/4 - 2*i**3 - 16*i. Let u(b) = -5*s(b) + 6*t(b). Find the second derivative of u(x) wrt x.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44875015*0.6\nAnswer: 26925009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -2. Let w = x - -20.9. Which is the nearest to w? (a) 7 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/60*(-17 - 23). Solve 9*l = -k*l - 26 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4271 divided by 60.\nAnswer: -4271\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (-4)\/18 + 4\/18. Suppose -t*d = -f + 61, 0 = -4*f + 9*f + 3*d - 389. What is n in f + 4*n - 38 + 4*n**5 - 38 - 8*n**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 4255*m - 38700.\nAnswer: 5*(m - 860)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 14*k**2 - 7*k - 6. Let n(z) = 7*z**3 - 47*z**2 - 22*z - 18. Let i(v) = -3*n(v) + 10*t(v). What is i(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q + 4*c = -16, -5*q + 5*c = -55. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 11:30 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 29000*k - 609000. Calculate s(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -27*j - 2. Let r(o) be the second derivative of 3509*o**3\/6 + 261*o**2\/2 + 2*o - 2508. Give -261*l(y) - 2*r(y).\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697727.\nAnswer: 697727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 - 344*u**4 - 684*u**3 + 2*u**2 + 685*u + 342 = 0. What is u?\nAnswer: -342, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(1*sqrt(1088) - sqrt(1088)) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80023351?\nAnswer: 97, 824983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 383 + -5. Let b = q - 209. Let u(p) = -b*p + 343*p - 176*p. Let g(z) = z - 3. Calculate u(g(y)).\nAnswer: -2*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21370483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, 0.3, 237, 0.5 in decreasing order.\nAnswer: 237, 0.5, 0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5 - 24*r**4 - 66*r**3 + 68*r**2 + 168*r - 144 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + 7a93a6?\nAnswer: 7a938b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47313 is divided by 9460?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 + -132.9. Which is the closest to -1? (a) -1\/5 (b) l (c) 1\/3 (d) 1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 0*x + 3*g - 14, x - 4*g - 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-2249)\/234)\/173)\/((-1)\/(-4)*1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267206, -534326, -801458, -1068602, -1335758, -1602926?\nAnswer: -1870106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1011?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 28231?\nAnswer: -28241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43962912 and 99792?\nAnswer: 483592032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*a = -10, -5*x - 3*a + 1 - 7 = 0. Suppose -5*p + 61 = -2*p - 5*j, x = -3*p + 2*j + 73. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 85 = -4*s, -3*k = -0*k + 2*s - 255. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32842.74 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let w(x) = -x + 5. Let a be w(5). Let y = 2 - a. Solve y*c - 5*g - 29 = 0, u*g + 2 + 13 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 887*z - 30*z**2 - 887*z to y*z + h*z**2 + n and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4 + 2. Suppose -r*i - 3*a + 43 - 16 = 0, 2*a = 2*i - 14. Let x(v) = -v**2 + 9*v + 6. Is 14 a factor of x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44421*n**3 - 63*n**2 + 2*n - 38625231?\nAnswer: 133263*n**2 - 126*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.42331mg to tonnes.\nAnswer: 0.00000000742331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + w - 28 = 0, 0*s + 7 = s + 4*w. Let f = 92 - s. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1057, 2125, 3203, 4297, 5413, 6557?\nAnswer: 7735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -311*a + 102. Give f(2).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 - 3)*(-2 + 3 + 0)*((-2 + 4 - 7)*(0*r - r + 0*r) + (-r - 3*r + r)*(7 - 2 + 0)) to the form s*r + n and give s.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3936 + -3927. Solve 0*p = -3*x + p + 1, -2*p - u = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*j + 56*j - 32*j as r + b*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 17, n: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2506*i**4 + 2664*i**2 wrt i.\nAnswer: -60144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142589900 rounded to the nearest 100000?\nAnswer: 142600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2834 - 2831. Let h be (1 + (2 - 1))*1. Solve 4*j + 3*n = m, -2*n - h*n + 4 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -11. Sort s, 3, -2 in ascending order.\nAnswer: -2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 6:20 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 207 divided by 3\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9897 * 6734\nAnswer: 66646398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 21*k + 15 = 0. Let y(t) = -t + 4. Determine y(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 != 1\/134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8 = 2*x, -67*x - 74*x - 56 = 12*b + 67*x - 209*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -1\/10*j**5 + 1\/6*j**4 - 15 + 1\/3*j**3 - j**2 - 2*j. Factor s(q).\nAnswer: -2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 12, 2*k = j - 127 - 52. Suppose -j - 319 = -11*n. What is the lowest common multiple of 10 and n?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 17*p**2. Let c(i) = 4257*i - 4257*i + i**2. Determine c(s(o)).\nAnswer: 289*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.8 - -4.32. Let v = 0.52 - q. What is the third biggest value in -1.9, v, -0.1?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838333679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663d9 (base 15) to base 14.\nAnswer: 86579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(204) + sqrt(204)*2) + sqrt(204))\/(sqrt(12)*2*4).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8414.43201 to the nearest integer.\nAnswer: -8414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 4*x - 3, -8 = 4065*w - 4062*w - 5*x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10002592343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1313.31 - 1313.83837. Round c to three decimal places.\nAnswer: -0.528","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g**2 - 14*g + 37*g - g - 19*g - 2*g**2 - 4 - 2*g**3. Determine u(5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15217, -30436, -45629, -60802, -75961, -91112, -106261?\n\"Answer: -b**3 + 19*b**2 - 15269*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/846 and 127\/52218?\nAnswer: 2454246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 22 + 77 = 0. Let x = 9 - f. Solve 0 = -3*o + d - 13, -3*o - x = o - 2*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -621 < -619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + 32*y**2 - 13*y + 15. Calculate the remainder when c(10) is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11 + 39 + 58264*p - 58471*p with respect to p.\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 4:29 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2229078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229*s - 299*s + 198*s)*(2*s**2 + 2*s - 2*s) + 3*s**3 + 0*s**3 - 2*s**3 - 2 + 2*s**3 + 2 + (-2 + 0 + 1)*(4*s**3 - 4*s**3 - s**3).\nAnswer: 260*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (1 - 1) + (78 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 9) to base 8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 550\/(-330)*(-3)\/(-3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 681 and 4?\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8, -17, -26, -35, -44?\n\"Answer: -9*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/7)*n**(-1\/8)*n)**(-50) assuming n is positive.\nAnswer: n**(-2825\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 16983868.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19390*c*i - 32735187*c + 17*i wrt i?\nAnswer: 19390*c + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -36. Let d be b\/6 + (-3231)\/(-27). Suppose -l + 188 - 154 = 0. What is the greatest common factor of l and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(70)*1 + sqrt(70)) - 4*sqrt(70)*1)\/(sqrt(120)\/(sqrt(36)\/sqrt(192))).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593 = 42*t - 215 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/2 + 0\/(-3). Suppose u = -0*y - y + 6. Let k = 8 - y. Solve k*l + 11 = 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178995.\nAnswer: 3, 5, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -7 - (-6 - (4 - 13))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 410.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 232002249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/30)\/((-4)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 10*u**2 - 77*u - 28. Determine s(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -6*t**5\/5 - 8*t**4\/5 + 36*t**3\/5 + 96*t**2\/5 + 82*t\/5 + 24\/5 = 0.\nAnswer: -4\/3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44023611 = 3*d - 4*j + 16477389, j - 60501000 = 3*d. What is d rounded to the nearest one hundred thousand?\nAnswer: -20200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 17 = 45. Suppose -u - 26 = -3*c + 4*u, -3*u = -4*c + 20. Solve 9 = -f*g + 2*g - 3*r, -c*g - 4*r = -2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 2, -3, -5, -50, 319 in decreasing order.\nAnswer: 319, 3, 2, -3, -4, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 57. Suppose 4*k - 12 = -2*t + 10, 0 = t + 3*k - 14. Solve h - 3*y = c, 0 = -4*h - y + t*y + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 438 and 4234?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736)*-1 - ((sqrt(209)*1)\/sqrt(11) - sqrt(19))) + ((1 + sqrt(171) + sqrt(171))*2 - ((0 + sqrt(171))*-1 + sqrt(171))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*v - 2 = -12, -3*m = 3*v - 15. Suppose m*b - 24 = 7*b. Let o(r) = r**3 + 13*r**2 + 8*r - 1. List the prime factors of o(b).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 13*t**2 + 31*t - 7. Let r be u(10). Suppose 0*j - j + 67 = r*m, 2*m + 2*j - 46 = 0. Sort -4, m, 2, -3 in decreasing order.\nAnswer: m, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/24 and 3\/4 + 8\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -757*k - 835. List the prime factors of v(-11).\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 165 - 9 = 0. Let i(u) = 43 - 21 - w + 3*u. Let a(v) be the first derivative of -7*v**2\/2 + 15*v - 1. Give -6*a(x) - 13*i(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8654744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((110\/77)\/(-2))\/(126\/(-147)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -55586 at most as big as -55588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j, -3*j + 4*j + 4 = 2*q. Solve 0 = q*k + k + 8, -k = -5*s + 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.1. Let v = 4.232 - 0.232. Which is the nearest to 1? (a) q (b) v (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b + 3. Let w(l) = 4 - 5*l - 4*l + 7*l + 7*l. Let y be (2*-1*-1)\/(-1). Let f be -1 - y - -4 - 2. Determine f*w(a) - 4*j(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*-538)\/(15\/(-30)). Suppose -d - 488 = -16*u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*4*(-3)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 87648*y**3.\nAnswer: -3*y**3*(y - 29216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m**2 + 8*m + 7. Let q be n(-2). Does 15 divide 1112 + (14\/q)\/((-1)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(180) + 2) - sqrt(180)) + -2 - -6*(sqrt(180) - (sqrt(180) - 1*sqrt(180) - sqrt(180))*6))*2)**2.\nAnswer: -7680*sqrt(5) + 1152064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2769260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 9*f**2 - 11. Let x be u(-9). Let p = 14 + x. Suppose t - 3*t = 5*r + 6, 5*t = -4*r + 19. Calculate the smallest common multiple of p and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:07 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 0 + 0 + y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a, -3*z + z + a - 90 = 0. Is z >= -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**2. Let j(m) = m**3 + 4*m**2 + 2. Let d be j(-4). Let i(c) = -3*c - 3*c**d + 2*c + c. Calculate -9*i(w) + 4*t(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, o: 1, c: 1, x: 1}. What is prob of picking 1 c and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 24*g**2 + 1. Let n(z) = -4*z**2 - 112. What is o(n(v))?\nAnswer: 384*v**4 + 21504*v**2 + 301057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v\/v**(-22)))\/v)*v)**(-10)\/((v\/(v\/v**(-18\/7))*v)\/(v\/(v*v*v**(-3)))) assuming v is positive.\nAnswer: v**(-1725\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 15130780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w = 0. Suppose -h + 9 - 2 = w. Let f = h + 3. Calculate the greatest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w. Let r(b) = 5*b - 8 + 2*b**2 + 15*b**2 - 1 + 4. Let n(p) = -70*p**2 - 21*p + 21. Let c(s) = 5*n(s) + 21*r(s). Give q(c(v)).\nAnswer: -98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 471781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - y**2 + 3*y**2 + 2*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2379 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*k*u - 9095*k - 34*u wrt u?\nAnswer: 62*k - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f - 9. Suppose 25 = -3*n + 8*n. Suppose 5*o - 25 = n*h, -4*h - 16 = -2*o + 2. Let a(z) = 8*z - 5. Let w(m) = h*y(m) + 7*a(m). What is w(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82, -135, -188, -241, -294, -347?\n\"Answer: -53*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goovrgggigoviri. What is prob of sequence oovg?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:10 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 771.12 + -785. Let k = d - -13. Round k to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 13 (c) -6 (d) -0.2 (e) -5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5051*f**2 + 5051*f**2 - 76194*f**3.\nAnswer: -76194*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 5*s**2 + 3*s + 8. Give o(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -293*u**3 - 71*u**2 + 104*u + 20. Let v be i(-30). Round v to the nearest one hundred thousand.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4654*v + 4650*v + 4643*v - 13952*v + 10.\nAnswer: -5*v + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 = -1438*w + 1436*w, 5*w + 19 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ittt when four letters picked without replacement from {t: 4, i: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:22 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j. Let c be h(1). Suppose -c*g - g = 20. Suppose 0*k = -3*k - 9. Put g, -1, k in increasing order.\nAnswer: g, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15109 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: Let w = 5 + 5. Suppose -n + 7 = 2*d - 11, 2*d - w = 0. Calculate the remainder when 15 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n + 1. Let j(v) = -v**3 + 5*v**2 + 6*v + 8. Let d(f) = -j(f) + 2*p(f). Let t be ((-112)\/42*3)\/(2\/1). Determine d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 11) in base 2?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5418322 and 560?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:45 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 28002909 divided by 1331\nAnswer: 21039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msm when three letters picked without replacement from ssssssmsm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*q + 588, o + 2184 = 5*o + 4*q. List the prime factors of o.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 19)*(13*g**3 + 2*g**3 + 12*g**3) as h*g**2 + p*g + r*g**3 + t and give r.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -823149 divided by 2127?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 4 - 4 + 1)*(-5923*g**3 + 7567*g**3 + 13599*g**3) as l*g**2 + r + o*g + j*g**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2. Suppose -73 = -3*a - 19. Suppose 3*q + 191 = -5*v, -v = q + 19 + a. Let o = 39 + v. Determine d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {j: 2, a: 1, m: 2, l: 2, n: 2, i: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/24)\/(14\/(-6)). Let q = -116 + 64. Let z = 51.7 + q. What is the fourth biggest value in -5, -2\/11, z, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 9*l**2. Let y be d(-1). Let q be ((4960\/25)\/(-8))\/((-2)\/60). Calculate the remainder when q\/36*y\/2 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -38*u**2 + 4. Let r(p) = 6*p. Give a(r(b)).\nAnswer: -1368*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/(5\/(-15)). Let m be 2\/(w\/2*-2). Let b be m\/3*6 - -7. Solve b*r = 3*d - 3, 5*d - 5*r + 10 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1442.7409 and 6.71.\nAnswer: -1436.0309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7860 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 135014.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1946 and 3892?\nAnswer: 3892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 7:43 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + -1 + (-2 - -1). What is the common denominator of 55\/18 and 61\/4 + c\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -261 + 2*i**2 + 524 - i - 262. Suppose 35*r = 34*r + 2. What is a(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 245*v - 684*v + 267*v - 1245*v - 153*v as p*v + x and give p.\nAnswer: -1570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 4*d**2. Let g be i(4). Suppose -2*n + 5*q - 2*q + 1149 = g, 2296 = 4*n - 4*q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 947532024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264 + -68. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -13*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*2837 + (-1)\/(-1). Let a = p + -119283\/14. Find the common denominator of a and (-2490)\/(-12)*((-19)\/10 - -2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6744 and 233511.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 3, 0, 60.735, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3 + 15\/6). Let l(v) = 11*v + 1. Let d be l(w). Let a = -30 + d. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*l = 1, p + 0*l = -2*l + 6. Let a = p - 3. Is a + 3*3\/3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 179, -253, -1305, -3181, -6085?\nAnswer: -10221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 12 = -2*k, b + 10 = -k - 2*b. Solve -k + 12 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 183.2173?\nAnswer: -186.2173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 2*a + 4. Let k be ((-8)\/(-3))\/((-4)\/6). Let r be b(k). Suppose -2*g + r = 3*g. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + -2*sqrt(117) + sqrt(117) + -4.\nAnswer: -3*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - 3*v + 0*v)*(-16 - 31 + 0 + 2*v) to a + f*v**2 + t*v and give t.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799974 is divided by 965.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*((-1 + 0 - 1)*(-3 + 1 + 0) - 2 + 4 + 0)*(-1 + 2 - 3)*(-m + 0*m - 6*m).\nAnswer: -84*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6102540 (base 10) in base 3?\nAnswer: 102111001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*sqrt(1008)*-2 + sqrt(1008))*-6)**2.\nAnswer: 326596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 5, 1\/4, 1\/18, -1089, -121?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -97 (base 10) to base 12\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -17. Let d = 15.32 + b. Let y = d + 0.08. What is the second biggest value in -3, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058143?\nAnswer: 1058143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -14311221?\nAnswer: -14311230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-150)\/225)\/((-1)\/3 + 1). Calculate the remainder when 24 is divided by (-3 + b)*(3 - (-8 + 13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) -0.5 (c) -107\/2 (d) -2\/3475\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -5)\/(24\/400).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 15. What is q(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -811 + 4?\nAnswer: -80d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 + 149 - (-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000611269 to 7 dps.\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.828 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 5)*4\/5. Let d be (-4 + 1)\/(3 - w). Solve -s - s = -d*z + 7, 0 = -2*z - 5*s - 27 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*p + 125, 3*b - 2*b + 29 = 2*p. Let d be 6*(-3 - b\/9). Let y = 359\/17 - 21. What is the biggest value in d, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 2 + -11 + (-1 - -4 - -14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i - 9. Suppose -3*m + g = -0*g + 23, -2 = 2*m + 2*g. Let j be o(m). Suppose -f = 4*f - 75. Calculate the highest common factor of j and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 0*k**2 - 5*k**2)*(-4*k**2 + 2*k**2 + 3*k**2) - 3*k**3 + 3*k**3 - k**4 + (k**2 - 4*k + 4*k)*(2 + 4034*k - 7466*k + 4052*k)*(k + 4*k - 2*k).\nAnswer: 1857*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 1:24 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -40*l + 75. Let d(g) = -40*g + 76. Let x(w) = 5*d(w) - 6*f(w). What is the first derivative of x(z) wrt z?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8012640 is divided by 216557.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 868 divided by -4\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 149. What is the remainder when v is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10140?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 34. Let g = 16 - 14. Solve g*v = c + 3, u*c - c - 4 = -3*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3763212.\nAnswer: 2, 3, 53, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -21. Let x(o) = 1580 - 12*o**v - 1580. Let n(z) = z. Give x(n(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -54. Suppose 16 = 3*m - 5*p, 5*m + p - 14 = f*p. Let g be ((-3)\/(-12))\/1*(3 - m). What is the closest to g in -5, 5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -26. Calculate the remainder when 113 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1578541570?\nAnswer: 2, 5, 157854157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 47 - (644 + -602)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 9*c - 10. Let v be w(-8). Let n = v - -53. Suppose 0 = r - 0*r - n. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 29*n - 437 + 53 = 2*s, -5*s = n - 27 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1594*t**3 - t + 1349 with respect to t.\nAnswer: 4782*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234070799*l**4 - 120402*l**2 - 154*l + 2.\nAnswer: -5617699176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34940860 from 0.02.\nAnswer: -34940859.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + 4*j**2 + 5 - 6 - j**3 + 3. What is f(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 66380d?\nAnswer: -663811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p - 19*p - 210 = 0. Let i be (-1 - -12)*1\/2. Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156 - 71 - 57)*(3*t + 2*t - 3*t) - t - 5*t + 5*t.\nAnswer: 55*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 + 6*h + 42. Let k be x(-8). Let f be (-498)\/(-10) - 1*(-8)\/40. Calculate the highest common divisor of k and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**2 - 213*y - 138.\nAnswer: -3*(y + 23)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -668*2\/(-52) - ((-15570)\/1170 - 39\/(-3))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130830 rounded to the nearest ten thousand?\nAnswer: 3130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 9, -2*c - 7 = 4*q - 25. Suppose -4*f = -9*f + 10. Solve f*g - q = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = u - 5*n, 2*n + 2*n = -u - 11. Let k = 21 + -15. Let b = k + u. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s - 20*s**2 - 14*s - 175*s + 22*s - s**2.\nAnswer: -21*s**2 - 185*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32903294?\nAnswer: 2, 23, 715289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1436456*l**4 - 7*l + 170333 wrt l?\nAnswer: 17237472*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-15)\/78)\/(-5)). Let l(h) = 9401*h**2 + 12 + a*h - 69677*h**2 - 47591*h**2 - 29629*h**2. Let z be l(-6). What is z rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9998483 minutes in nanoseconds?\nAnswer: 59990898000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3 + 6. Let l be (4\/2 + -2)*9\/h. Suppose 0 = -4*f + 5*i - l*i + 18, 0 = f + i. Solve -4*j = -2*n - n + f, 9 = 5*j + 2*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*(16 + -8) + 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -9\/5 (c) -12\/341 (d) -2 (e) 0.17 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23402 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 + 1 - 2 + 2*d - d as s + a*d + v*d**2 + x*d**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*p + 180524 = 190764 for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 + -225.7. Which is smaller: v or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**3 - 6*l**2 + 24*l + 87. What are the prime factors of w(-13)?\nAnswer: 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 160*s**4 + 704*s**3 - 1422*s**2 - 6615*s + 675 = 0?\nAnswer: -15\/4, 1\/10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 - -16924.25308.\nAnswer: 16924.43308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/15*(-6)\/4. Suppose -3*i + 10 = h*i. What is the first derivative of -8*p**2 + 50 + p**i - 33 wrt p?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151148262 to the nearest integer?\nAnswer: 12294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42201593 divided by -2\nAnswer: -42201593\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12*s**2 + 2*s. Let x be f(-4). Suppose -5*b + 4*t = t - 308, -3*b + x = -t. Let c = -35 + b. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29419 (base 11) to base 6\nAnswer: -521205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48863 is divided by 6980.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 1194?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -26, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 55159817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 92a2a562 + -3?\nAnswer: 92a2a55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(2*2*sqrt(12))*-3 + (sqrt(450)*1)\/((sqrt(10) + -1*sqrt(10) - sqrt(10))*2) + 2)**2.\nAnswer: -9*sqrt(5) + 469\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*h + 272*h = -13 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 25512, -1, 1 in decreasing order.\nAnswer: 25512, 1, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 - 3*w**2 - 15*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53\/4 of a millennium?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 125. Let g(b) = b + 4. Determine g(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-16)*(-3)\/((-45)\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2594193241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.3339795 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-12) - 2 - 66\/18. Let h(c) = -7*c - 5. Let i(o) = 8*o + 6. Let y(g) = 5*h(g) + 4*i(g). What is y(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/96 + 7\/12)*3. Let u be (1\/(-91))\/((24 - 13) + -3). Is u > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 17033959806599.\nAnswer: 17033959806603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 9*f. Let s = -36 + 25. Let v = 20 + s. Determine n(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290)\/(-20)*(-568)\/(-59711).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20*(-15)\/30*(-1)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -2084\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*c - 170*c = 16600 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1080 and 4536.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153932 is divided by 1175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 14*k + 5. Let q be t(-8). Suppose 2*c = 0, -6*c + q = 5*u - 4*c. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 12. Suppose z - x + 92 = c*z, 5*x + 46 = 3*z. Calculate the common denominator of -7\/20 and z\/(-20)*(-9)\/(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -185c84 + 1?\nAnswer: -185c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16664\/97 or 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 650, 642, 634, 626, 618, 610?\n\"Answer: -8*c + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -133?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, a: 4}. Give prob of picking 2 f and 1 a.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 25856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-5))\/4*25\/(-45). What is the second biggest value in j, 5, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*b + 20. Let j(m) = m**3 + 22*m**2 + 38*m - 37. Let p be j(-20). Solve p - b = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225652 (base 7) to base 4.\nAnswer: 21320032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/222532484 and -64\/57?\nAnswer: 667597452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(3*y**4 - 4*y**4 - y**4) - y**4 + y**4 - 2*y**4 - 2*y**4 + 0 + 0 + (0 - 2 + 1)*(-3*y - y**4 + 3*y) - y**4 - 4*y**4 - y**4.\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b*b**17)\/b)\/b*b\/(b*b**(-2\/17)\/b))\/(b**(-4)*b\/(b*b**(5\/7)*b)) assuming b is positive.\nAnswer: b**(2836\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2502208, 2502209, 2502210, 2502211, 2502212?\nAnswer: 2502213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3958864 and 23\/364.\nAnswer: 3958864","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 39172.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w. Let n be k(-3). Let s = n + 17. Is 91\/49 - s\/7 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5347862 times 5?\nAnswer: -26739310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/(-40)*(-2 - -3). Let h be -1*1 - (-10)\/18. Sort 0.4, l, h.\nAnswer: l, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 9268 = -2*h, -4*h + h = 3*i + 13890. Let b = i - -1132. What is b rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 - 3 = 0. Let q = -1 - r. Let g(l) = -2*l - l**3 + q*l**3 + 3*l**3 + 4*l**2 - 4 - 3*l**3. Give g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.52 - 8.48. Suppose -5 = 4*j - j + o, 0 = 2*j + 2*o - 2. Which is the closest to m? (a) 0.1 (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 184?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17866380 is divided by 140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -630, -1, -0.3, 1, 3 in ascending order.\nAnswer: -630, -1, -0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.04 (b) 4 (c) -1\/5 (d) 6 (e) 6\/1751\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, e: 3}. What is prob of picking 2 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -9\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a factor of 1604705262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oewe when four letters picked without replacement from {w: 8, p: 4, u: 2, e: 4, o: 2}?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 - 24?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/12 - 17*d - 4. Let x(y) = 7*y. Give x(l(g)).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4814 * -0.2.\nAnswer: -962.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69850.\nAnswer: 2, 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.1634 rounded to zero dps?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**4*u**3 + 2*h**3 - 729*h**2 - 9*h*u**3 + h*u - 28*u**2 + 25 wrt h.\nAnswer: -36*h**2*u**3 + 12*h - 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 15*1\/(-6)*4. Suppose 3791 + 2155 = b*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*z + 339930 - 60514, 0 = -5*l + 5*z - 1396980. Let p = 429400 + l. What is p rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*m**2 + 0*m - 1 - 179*m**2 - 178*m**2 + 553*m**2 + 0*m.\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17162 + -5?\nAnswer: -17167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -650*r**2 - 859 + 230*r**2 + 3270*r**4 + 421*r**2 wrt r?\nAnswer: 78480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i - 2192*i**2 - 2181*i**2 + 4378*i**2 to n*i**2 + w*i + m and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.739997 - 0.33999758. Let x = 2.4 - g. Round x to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**5 - n**3 - 61*n**2 - n - 1052?\nAnswer: -60*n**3 - 6*n - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*h + 156 - 72 - 84 + 13*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/16 + 10*161\/230.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -14 - (7 + (11 - (36 + -17)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -10663*z - 202620. Determine v(-19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**5\/20 - x**4 + 17*x**3\/6 + 23*x**2\/2 + 5*x. Let y be o(-12). Let k = y - -301. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/108)\/(2*3\/9). What is the closest to 0 in 1\/14, t, -2\/7, 5?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009203089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 867*s**3 - 11715*s + 11715*s + (2*s**3 - 3*s**3 + 0*s**3)*(2 - 6 - 2) as k*s**2 + l*s + p*s**3 + h and give p.\nAnswer: 873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.2 (b) 3 (c) 1\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*u - 5504*g + 8 = -5505*g, -2*u - 3*g = -18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (759\/1012)\/(2\/(-344)). Put -3, d, 21 in ascending order.\nAnswer: d, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/4*(-60)\/15. Suppose 19 = o - 3*z - 7, 0 = -5*o + 3*z + 106. Solve k*v - o = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3369*i**3 + 289*i**2 + 3*i.\nAnswer: 20214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996 is divided by 328?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4998)\/595)\/((-19)\/(-5)). Let p(w) = w**3 - 16*w**2 + 14*w + 13. Let i be p(15). Which is greater: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 7*o**2 - 5*o - 10. Calculate d(7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {l: 1, f: 1, z: 1, d: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.026 (b) -84 (c) -6 (d) 1\/3 (e) -1.3 (f) 2\/5 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 47. What is the third derivative of n**3 - n**6 + 72*n**2 - r*n**2 - n**3 wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.239551mg to micrograms.\nAnswer: 5239.551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2616 = -37*y + 3378. Calculate the greatest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 143 = 7*h, 12*m - 168 = 7*m + 2*h. Solve 0 = -5*x + 24 - m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167745.\nAnswer: 3, 5, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 114463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**3\/2 - 5*a**2\/2 + a + 32. Suppose -h = -5*o + 1, 3*h = 4*o - 4 - 10. List the prime factors of s(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h + 1020. Suppose 2*v + 2*f - 4 = -2*f, 9 = 2*v + 3*f. Calculate the remainder when 1*3*h\/18 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - s**2 + 2. Let k be b(0). What is the second derivative of 1375 - 134*w**k - 34*w**2 + 66*w - 1375 wrt w?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52117494 is divided by 3043.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0634462*-0.13.\nAnswer: -0.008248006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n**2 - 1. Let l(p) = -p**2 - 3. Give 3*h(j) - l(j).\nAnswer: -3*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*9\/756*2*(-6)\/(-74).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9588 + 14069. What are the prime factors of f?\nAnswer: 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 11*n**4 + 0*n**2 - 2*n - 1504*n**3 - 3*n**2 + 1500*n**3 to the form l*n**3 + k*n**2 + i*n + d + m*n**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7962142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16719 times -0.4\nAnswer: 6687.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5670\/56 - 6\/(-8). Suppose -9*c + q = -609. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r = 5. Let d be r*(6\/(-9) + 0). Suppose 0 = 2*i + 5*y - 16, -4*i - 3 = -5*y + 25. Which is greater: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-5) + (-80)\/(-100). Let s(k) = -36*k - 973. Let n be s(-27). Put 52, n, d, -5 in increasing order.\nAnswer: -5, n, d, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*x**2 + 428*x**2 + 69*x**2.\nAnswer: 426*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 97*j - 129*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -155180650 rounded to the nearest 10000?\nAnswer: -155180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + 2*t**5 - 2*t**5 + (t + 0*t + t)*(2*t**4 - 2*t**4 - 2*t**4) + 3*t**5 + t**5 - 3*t**5 + 164*t**5 - 892*t**2 - t**4 + 892*t**2.\nAnswer: 162*t**5 - t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/34 (b) -278 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.4585 rounded to one dp?\nAnswer: 350.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 equal to 2827\/117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l. Let q(t) be the second derivative of -t**3\/2 + 3*t. What is q(r(x))?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 7*u - 136. Let c be o(-16). Suppose 3*z - 2*a + 17 = 0, -4*z - c*a = -9*a + 16. Put 3, 4, z, 0 in decreasing order.\nAnswer: 4, 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - -3536766?\nAnswer: 3536732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5977488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6025 + -6024. Which is the fourth smallest value? (a) -4 (b) o (c) 2\/7 (d) 2 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -1\/2*m**4 + 0 - 1\/10*m**6 + 215*m + 9\/20*m**5 + 0*m**2 + 0*m**3. Solve v(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -541 and 3.\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16320 and 15334680.\nAnswer: 122677440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593632573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 15255*a + 579708. Calculate o(-38).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 269597458 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*i = -8, 0 = 1215*v - 1213*v + 4*i + 4 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 485360290 a multiple of 1366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12403 (base 6) to base 9\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(187)\/sqrt(396) - sqrt(17)) + sqrt(17) + sqrt(204)\/(sqrt(60)\/sqrt(5)).\nAnswer: 13*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 40*b**2 - 83*b + 7. Give z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -35808.505 to the nearest 100.\nAnswer: -35800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 125.6, -10\/3, 0, -1\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12\/5, -1, 0, -10, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -121, -125?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3\/10))\/m*m**(-32) assuming m is positive.\nAnswer: m**(-317\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 2.5, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 85. Let g be (5 - 3) + (3 - c). Suppose -7 = -3*a + g. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4521731730 to the nearest one hundred thousand.\nAnswer: -4521700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190108927?\nAnswer: 19, 83, 120551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 365903 by 5.\nAnswer: 365903\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*s**4 - s + 1 + 0*s**2 + 2*s**2 - 6 - 2*s**3 + 9*s**4 in the form j*s**2 + u*s + h*s**4 + d*s**3 + x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 3733484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z**2 - 975*z - 6711. Give i(-7).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176573578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17110*b**3 - 121898.\nAnswer: -51330*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9 - 53 = 2*j, j + 3*c = -30. Find the common denominator of (1\/(-10))\/(-1)*(-740)\/(-14)*4452\/(-10176) and 2\/(-8) - 265\/j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = -5 + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(108)\/(2*sqrt(36) - sqrt(36)) + -2 + 4.\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**4\/102 - 77*s**3\/17 + 230*s**2\/17 + 4594*s. Factor u(w).\nAnswer: 2*(w - 230)*(w - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272718687.\nAnswer: 3, 31, 2932459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 13*w**2 + 17*w - 46. Let t be q(14). Let k(b) = -3*b - 3. What is k(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/90)\/((-5)\/6 - -1). Factor -2\/3*d**5 - 2*d**4 + 2*d + 2\/3 + 4\/3*d**z - 4\/3*d**3.\nAnswer: -2*(d - 1)*(d + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88536 by -7378.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 (base 11) in base 7?\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**5\/270 - a**4\/54 + a**3\/9 - a**2 + 14. Find w such that g(w) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8 = -4*c, 4*w = 4*c + c - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410150 - 3?\nAnswer: -410153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1202\/491?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79200.7383 - -78790.77. Let c = 2034 - 1624. Let g = n + c. Round g to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/288 and -61\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 24*h - l = -24, 4*l + 21 = h. Let d = -11 + 17. Let w be ((-8)\/d)\/(2\/(-27)). What is the highest common divisor of h and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*i - i - 7 = 0, -5*i - 10 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*v**2 - 7*v**2 + v**2)*(-6 + 10 + 2*v + 8) in the form h + c*v + t*v**2 + l*v**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-8 + 0) - -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -9. Let f = -2 - -5. Let v = f - 1. Sort 0.5, v, d in ascending order.\nAnswer: d, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, 75, 190, 333, 498?\n\"Answer: -j**3 + 23*j**2 + 19*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 4*y**2 - 5*y - 8. Let i(f) = 3*f**3 - 7*f**2 - 9*f - 15. Let m = 13509 + -13512. Give m*i(p) + 5*z(p).\nAnswer: p**3 + p**2 + 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2*g**3\/9 + 46*g**2\/9 - 64*g\/9 + 48. Suppose p(v) = 0. Calculate v.\nAnswer: -16, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 705974 and 5762?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 20.\nAnswer: -4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {k: 1, s: 6, u: 7}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 15 = 7*a - 2*a, 25 = 5*j. What is the remainder when 13 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*j - 18. Which is the closest to j? (a) -0.5 (b) 1 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - i = 23, -4*f + 3*f + 14 = -3*i. Suppose -4*x + 20 = 3*o - 7, 0 = 4*o - 3*x - 36. Calculate the remainder when f is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 2\/1011 (c) 45 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*x**3 - 1 - 2*x**2 + 24*x**3 + 1 + 739*x**3.\nAnswer: 666*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u = 18*u - 11*u + 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -373688, -373684, -373678, -373670, -373660, -373648?\n\"Answer: j**2 + j - 373690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3052 * -0.3.\nAnswer: 915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*d + 0*d**2 + 2*d**2 + 125*d)*(3*d - 3*d + 2*d).\nAnswer: 4*d**3 + 108*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - -80. Put -0.3, 5, q, 0.2 in ascending order.\nAnswer: q, -0.3, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67364866 to the power of 1\/2, to the nearest integer?\nAnswer: 8208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 163*l**3 - 2*l - 17*l**3 + l**2.\nAnswer: -180*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 12 = -8*r. Let q be (2\/(-3))\/(8\/r). What are the prime factors of 12 + -2 + (q - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from {p: 1, l: 1, t: 1, z: 1, f: 2, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 378, 406, 432, 456, 478?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, 0.3, 1\/9.\nAnswer: 0, 0.1, 1\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -5, 9, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 53*v**2 - 51*v + 37. Calculate the remainder when m(52) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v**2. Let d(c) = -11*c**2. What is s(d(a))?\nAnswer: 1210*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25153 - 25149. What is the second smallest value in -2.65, v, -25?\nAnswer: -2.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03 or 1165324?\nAnswer: 1165324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12735 and 396.\nAnswer: 560340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.004007 + 0.004. What is j rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 306*b**3 + 4*b**2 + 2*b + 2. Let k(l) = -12240*l**3 - 162*l**2 - 81*l - 81. What is 2*k(q) + 81*u(q)?\nAnswer: 306*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 22*y**2 + 4*y + 17. What are the prime factors of i(-5)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zazk when four letters picked without replacement from {a: 8, z: 3, k: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*k + 105 = 4*d, 5*d + k = 93. Suppose q = d + 14. Calculate the remainder when q is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-20 + (32 - 12) + -14 + -21).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000020010101102 + 12?\nAnswer: 10000020010101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a**3 + 4 - 17*a**3 - 2 + 12*a**3 - 38*a to v*a**2 + y*a**3 + n*a + c and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131012 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1825a6a?\nAnswer: 1825a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*v**3 + v**2 + 43*v**3 - v**2.\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2 + a - 92. Let y(f) = -29*f**2 - 4*f + 459. Let h(n) = 11*d(n) + 2*y(n). Is 9 a factor of h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-9) + 2\/3. Suppose -3*n + 3*c + 1 = -20, t = n + 4*c - 27. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833671049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2.2. Let j = -2.7 - -0.7. Which is the second smallest value? (a) l (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 7*h + 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 1.2, 0.1, -2\/15, -8\/27?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*s + s - 81, -g + 19 = 5*s. What is the remainder when g is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 - -16.6. Let o = 23 - m. Which is the closest to -0.1? (a) -2 (b) o (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665536.\nAnswer: 2, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/4 - v**3\/6 - 8*v. What is the second derivative of s(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5828893\/5 and 1165780 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1378600 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137\/252 - -1\/36. Factor -18\/7*o**2 + 26\/7*o**3 - 2\/7*o + w - 10\/7*o**4.\nAnswer: -2*(o - 1)**3*(5*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96 + 62)\/(366\/1281).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1973808 = -12*t - 36*t. What are the prime factors of t?\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-245))\/((-1305)\/6090).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.11, 1, -13, -8?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -439 = -440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 804 divided by 402\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 1. Is 6 a factor of (-9)\/(-2)*(-8)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + c0e?\nAnswer: c0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a factor of 408868888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007163847 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -80. Let g = -5 + 1. Sort 1, h, g.\nAnswer: g, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 356190?\nAnswer: -1\/59365","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/10)\/(228\/1900*1*-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 218992?\nAnswer: 875968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 times 1?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -28*i**4 + 13404*i**3 + 17328*i**2 - 23024*i - 7680 = 0.\nAnswer: -2, -2\/7, 1, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12290 = -1420*a - 966*a - 72*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/42 and 61\/312.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0038 - -7.0038. What is the second biggest value in -0.4, s, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, t: 4, s: 3, o: 3, a: 4}. Give prob of picking 1 a and 3 o.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*6*(-8 + 9). Let z be 1*(-2)\/y*-1383. Suppose 2*h = z - 87. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgwbjbwwbgwbb. Give prob of sequence gwwb.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 - 54 - 61)*(2 + 0*r - 1 - 3*r).\nAnswer: -33*r + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011011112210 (base 3) in base 4?\nAnswer: 102203233320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 115\/(-40))*((-174)\/54 + 3)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 22561?\nAnswer: 22606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 203109521051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 273.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1509*j**5\/5 - 796746*j**4\/5 - 20712504*j**3 + 424283856*j**2\/5 - 428768592*j\/5 + 1698144\/5 = 0. What is j?\nAnswer: -266, 2\/503, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/7)\/x**(-2\/5))**(-7\/8)*(x**2\/(x\/(x*x\/((x*x**0)\/x))))**13 assuming x is positive.\nAnswer: x**(763\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/30580 and -19\/16819.\nAnswer: 336380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40559 is divided by 1763.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 12:02 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 0\/(-4))*(-1 + 2). Solve -4*z = 8, z - 5*z = -4*r - y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/116155 or 0?\nAnswer: -9\/116155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 0.8, -1\/67, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 11*n - 42. What is c(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 15. Let q be 21\/7 + 1 - s. Solve d + 5*b - 5 = b, 4*b - q = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76\/7 - 905\/84. Let n(t) be the third derivative of -2\/3*t**3 + s*t**4 + 0*t - 3*t**2 + 0. Determine n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -568*c + 271.\nAnswer: -568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*-1 + 1 + sqrt(10)\/(-1*(sqrt(18) - sqrt(2))))**2.\nAnswer: -3*sqrt(5) + 49\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 259 = -70 + 134 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) -296 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15 (b) -1\/3 (c) -5 (d) 1\/6 (e) -2\/11 (f) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*t**2 + 22*t**2 - 26*t**2 + 24*t**2 as p*t**2 + i*t + o and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 + 50*s. Let o(m) = -10*m**2 + 100*m. Let r(q) = 7*d(q) - 4*o(q). Factor r(h).\nAnswer: 5*h*(h - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52897.37 rounded to the nearest one hundred?\nAnswer: 52900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 129*t + 5. Let x be w(1). What is the third derivative of 16 + 42*v**3 + 136*v**2 - 1 - x*v**2 wrt v?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -312*b + 7803. What is z(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7143129?\nAnswer: 3, 7, 113383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 6. Let s(l) = 768*l**2. Give s(z(t)).\nAnswer: 3072*t**2 - 18432*t + 27648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1013334 and 483?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 238374241, 238374239, 238374237, 238374235?\n\"Answer: -2*d + 238374243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, -13, -54, -123, -226, -369?\n\"Answer: -d**3 - 5*d**2 + 3*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(135)\/sqrt(36)) + (sqrt(15) - (sqrt(180)\/sqrt(3))\/sqrt(4)))\/(-6*(sqrt(27) + sqrt(108)\/sqrt(4))).\nAnswer: -sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 6. Let m(g) = 4*g - 23. Let f be m(4). What is i(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3 (b) 0.056 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p - 4*p. Let n = 16 + -13. Sort 1, p, n in decreasing order.\nAnswer: n, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-10))\/(-9)*68\/(-306)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9348, -9343, -9328, -9297, -9244, -9163, -9048, -8893?\nAnswer: -8692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9164 and 237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -6)\/2 - -14. Let i = r - 6. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28138510?\nAnswer: 2, 5, 2813851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09, -25\/4, 12, -1051, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 41*h + 2068 - 2167 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**5*w**3 + 137*j**5 - j*w**3 - 2*j*w**2 wrt j?\nAnswer: 20*j**3*w**3 + 2740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3526.\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152887 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 14) in base 12?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9704 + 9749 = c + 15*k, 3*c = 5*k + 35 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -49, -3, 3, 1 in decreasing order.\nAnswer: 6, 3, 1, -3, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**4 + 3*p**4 - 3*p**4)*(-1 - 2 - 5) + (-p + 2*p + p)*(p**3 + 2*p**3 - 4*p**3).\nAnswer: 30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 337*w**2 + 1824*w**2 + 413*w**2 in the form j + p*w**2 + u*w and give p.\nAnswer: 2574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3598 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.171 (b) -6816 (c) -48 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/5 - j**4\/6 - j**3\/3 - j**2\/2 - 38*j. Let f(i) = 5*i**3 - 3*i**2 - 2*i - 2. Determine 2*f(a) - 3*l(a).\nAnswer: -2*a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.15602 - -0.5\nAnswer: 0.65602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 6. Let g(a) = -1. Let i(h) = -7. Let c(f) = -6*g(f) + i(f). Give -5*c(r) + n(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 3)*1\/(-2). Suppose -2*j - 17 + l = 0. Let q be ((-28)\/j)\/(-7)*-4. Solve 6*u = q*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002200000010121200 - 11?\nAnswer: 1002200000010121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*j + 17 = -y, 0 = -5*j + 25 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6500 + -64933\/10. Find the common denominator of v and (300\/(-24))\/(2\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 20801548*y - 20801552.\nAnswer: 4*(y - 5200388)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 24440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 2*j**3 - 3*j + 5*j - 3*j. Let i be m(-1). Is 8 a factor of 1*-3 - (-3)\/i*14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b48 (base 12) to base 9\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28754704 - 8748672 + 108*m**2 + 105*m**2 - 24496*m - 217*m**2.\nAnswer: -4*(m + 3062)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4 - -11) + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001247 to seven dps.\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -6, -2\/11, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 1562, -365 in descending order.\nAnswer: 1562, -105, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 3. What is the remainder when 0 - (-1)\/2 - 1722\/(-28) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19256 and 928?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7))\/(-9*3\/(-189)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 4.48?\nAnswer: -12.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 28097 = -199345 - 124350. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*(-40)\/30. Suppose s + 7 = x, -3*b + 2*s = -118. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222 + -124006?\nAnswer: -124231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 7*z - 3. Let l(i) = -i**2 + i + 2. Calculate -5*l(v) - u(v).\nAnswer: 3*v**2 + 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -1)\/(8\/(-12)). Let b be (-166191)\/u*(-3)\/30. Let k = -5545 + b. Calculate the common denominator of k and 12\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/15756 and -83\/2118?\nAnswer: 5561868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2 + -3 + sqrt(500))*5 + -2)**2.\nAnswer: -3200*sqrt(5) + 13524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -116111, -231805, -347079, -461933, -576367, -690381?\n\"Answer: 210*v**2 - 116324*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-10))\/((j\/(j**(-7)\/j))\/j)*((j*(((j**2\/j)\/j*j)\/j)\/j*j)\/j)**(-46) assuming j is positive.\nAnswer: j**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9378 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6029 to 2 decimal places.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 - o + 2. Suppose 0 = -23*a + 22*a. Calculate l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4744, -4741, -4734, -4723, -4708, -4689, -4666?\nAnswer: -4639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h + 9. What is f(4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 2*t + 38. Let a be y(0). Factor -a*u**2 - 4*u**4 - 80 - 48*u - 14*u**2 - 24*u**3 + 64.\nAnswer: -4*(u + 1)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**3 - 9552*l**2 - 9561*l + 19110 = 0. What is l?\nAnswer: -2, 1, 3185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/30 + (-6)\/(-4). Suppose -2*b - 82 = -3*c, -c = b + x*b - 9. Suppose 0 = p - 0*p - 8. Calculate the highest common divisor of c and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228 + -219. Suppose -r*y + 15*y = 60. Calculate the highest common factor of y and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2141030 - -1?\nAnswer: -2141025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 618*m - m**2 - 6*m**3 - 627*m + 3 - 5*m**3 to the form w*m**2 + x*m + u + j*m**3 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2 - 40 + 165 + 21*t + 29*t = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72044 and 558341?\nAnswer: 2233364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*s - 1. Does 5 divide (s + -1)\/((-22)\/33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)*y**(12\/7))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**4\/14 - 8*c**3\/7 - 33*c**2\/7 + 520*c\/7 - 2277. Factor s(q).\nAnswer: 2*(q - 13)*(q - 4)*(q + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -9*v + 46, -25*v - 2*z + 18 = -21*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6087 - 6086.94991. Let c = 0.05 - l. What is c rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539849 is divided by 19994.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 82, 5, 23, 3, -2 in decreasing order.\nAnswer: 82, 23, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y. Suppose -10 = -t - 4*w, t - 5*w + y*w + 8 = 0. Solve t*r - 4 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 15. Let r = -3.546 + 2.546. What is the nearest to 1\/3 in r, 3, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2. Let w(o) be the second derivative of o**4 + o**3\/6 + o**2\/2 + o. Suppose -6*z = -7*z - 2*a, -3*a + 1 = 2*z. Determine z*w(x) + 22*j(x).\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 2*c**2 + c + 6. Let k be (-3 + -4 + 8)\/((-2)\/6). What is the remainder when 45 is divided by y(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4836237 to the power of 1\/2, to the nearest integer?\nAnswer: 2199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -104 + (-47 - -170) + -12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r. Let g(d) be the third derivative of -7*d**4\/12 - d**3\/6 + 179*d**2. Calculate v(g(q)).\nAnswer: -56*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 26. Suppose z*b + 3*k = 143, -2*b = b + 5*k - 213. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(5\/(10\/(-3))))\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 18. Suppose u + 16 = 2*z - 2*u, 10 = -d*u. What is the smallest common multiple of z and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 830 - 830. Let a(v) be the second derivative of 2*v + 5\/24*v**3 - 1\/4*v**2 + 1\/80*v**5 + g - 1\/12*v**4. Factor a(h).\nAnswer: (h - 2)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77411070881\/18198 + 4253823. What is the common denominator of -111\/20 and k?\nAnswer: 181980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18384\/11 - 2353625\/1408. What is the common denominator of -35\/96 and c?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 1701*u**2 + 6765*u - 5067.\nAnswer: 3*(u - 563)*(u - 3)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2 + 5*m**2 + 5*m - 4*m**2 + 5. Let b(w) = 15*w**2 + 15*w + 24. Let j be b(-2). Let t be (j\/(-24))\/((-12)\/(-16)). What is z(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008) + sqrt(1008))**2 - sqrt(70)\/(sqrt(40)\/sqrt(4)).\nAnswer: 47*sqrt(7) + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s**3 + s**2 - 2*s - 4. Let u be k(-1). What is the remainder when ((-87)\/116)\/(u\/(-408)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 1, p: 1, g: 1, c: 1}. What is prob of sequence peg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30372, 121476, 273316, 485892, 759204, 1093252, 1488036?\n\"Answer: 30368*q**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (sqrt(243)*2)**2) + -3 - -1*sqrt(243)*2) + ((-2 + 4*(sqrt(108) + (sqrt(108) - 2*sqrt(108)) + sqrt(108) + sqrt(108)))*6)**2.\nAnswer: -6885*sqrt(3) + 248001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 87*z + 352. Let d be h(-4). What is the nearest to -1 in 5\/2, -1\/9, d, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**2 - 4 - 15*m + 5*m + 7*m**2. Determine o(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39000851, 39000849, 39000847, 39000845, 39000843?\nAnswer: 39000841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrrrrlrrrrr. What is prob of picking 2 r and 2 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:54 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 1. Let z(m) = 4*m + 13. Calculate 2*k(h) + z(h).\nAnswer: 2*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009896414608 to 7 decimal places.\nAnswer: -0.0009896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7350\/200 - 36 - (-102)\/56. Solve 10\/7*z - 8\/7 + w*z**2 = 0.\nAnswer: -1, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*(2*sqrt(102) - sqrt(102) - sqrt(102)) - (sqrt(102) + (3*sqrt(102)*2 - sqrt(102)) + sqrt(102)))\/(sqrt(294)*1 - sqrt(6)*2*-6))**2.\nAnswer: 4998\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42.65 - 0.65. Let i = b + -44. What is the closest to 1\/4 in -2\/3, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1 - -78)\/1. Let h = -2 + x. Let p = 113 - h. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4587*q + 9210. What is p(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/(1826\/76692).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 11*y**2 + 12*y + 56. Calculate z(-7).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by (-137)\/(-3) - ((-100)\/15)\/(-10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, p: 1, q: 1, k: 3, i: 1, g: 3}. Give prob of sequence qik.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 185089 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/2*(-1 - 1). Let y = 17 - p. Suppose 8 = 2*o - y*o. Which is the biggest value? (a) -1 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-286))\/((-16)\/((-5120)\/16))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 392 divided by 196\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12225 + 3?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18 from 284500497.\nAnswer: 284500515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 778960 times -51?\nAnswer: -39726960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -616 divided by 18?\nAnswer: -308\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 21*o**2 + 50*o - 86. Let w be ((-2)\/(-10))\/((-69)\/115) - (-140)\/6. Calculate h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173608769 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218 + 227. Find the first derivative of 0*k**3 + 7*k**3 + 123*k**4 - 119*k**4 - 101 + w*k**3 wrt k.\nAnswer: 16*k**3 + 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8283 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(28\/44618 - 0). Calculate the highest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 275451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -63 (c) -0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 12:39 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(4 - 2 + 0)*(5 - 3 - 1)*(4698*v**2 + 4118*v**2 - 9295*v**2).\nAnswer: 958*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.51 at most as big as 0.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120636453 to the power of 1\/3, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0.2 (b) -12 (c) -2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10430126913997 minus -0.1?\nAnswer: 10430126913997.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -29*b + 23*b. Is b < -2\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -53 + 28 + 16 + (8 - 0)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 80535.6 weeks?\nAnswer: 811798848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 104 + 22)*(16*b + 40 - 40)*(-b + 1 - 1).\nAnswer: 1952*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 3*h + 4*h + (0*h + h + 0*h)*(-1 + 2 + 0) + h - 2*h - h - 4*h + 0*h + 2*h)*(-h - 3*h + h) - 1103473 + 1103473 + 775*h**2.\nAnswer: 790*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - -2. Let z = 3.56 - 3.74. Put f, -2, z in increasing order.\nAnswer: -2, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 6. Let w be f(-4). Let n be -1*w\/(-2) - -3. Calculate the lowest common multiple of (-2 - n) + (3 - -5) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/4)*u**(-14) assuming u is positive.\nAnswer: u**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*g**4*u**2 - g**2*u**2 + g**2 + 2*g*u**2 + g + 17*u**2 wrt g?\nAnswer: -564*g**2*u**2 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:09 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -387*u - 1. Let z(s) = -5*s**2. Determine h(z(m)).\nAnswer: 1935*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230953 and 241302.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/1135462?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 937.2471mm?\nAnswer: 937247.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 2)\/(1\/2). Suppose -46 = -3*g + p - 2*p, 5*p - 20 = 0. Let m = g - c. Solve 0 = -m*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = -27*u - 35. Suppose 2*n = -u*n + 7*n. Solve 7*g - 15*g - 24 = n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.45332 in -0.01, -1\/2, -3, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403.23 rounded to the nearest ten?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 8808, -102, -2 in decreasing order.\nAnswer: 8808, 95, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-1820))\/(10\/12*-2). Let a = o - 2434\/24115. Let q = 7212 - 64976\/9. Find the common denominator of q and a.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3*m**2 + 2*m + 3. Let r be o(-2). Suppose g = 3*w + r*g - 216, -3*g - 83 = -w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -2*q**5\/15 + 4*q**3\/9 - 2*q\/3 + 26. Factor d(g).\nAnswer: -2*(g - 1)**2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/64*8\/(-36)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 402\/6 - (-59488)\/(-704).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259 a factor of 356248818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -295 - -2321. Differentiate 71*l**2 - 38 - 2026*l + z*l - 19 wrt l.\nAnswer: 142*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -49, 8 in descending order.\nAnswer: 8, 2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -363. Suppose 2*q - i - v = 0, 0*i - 689 = -4*q + 5*i. Suppose -4*h - 22 = -q. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3366)\/792)\/((-13)\/(624\/2)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 + -353\/2. Let j = r - 14. Which is the nearest to 0? (a) 5 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwqezqweqqeeqqz. Give prob of picking 2 e, 1 w, and 1 q.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -368*l + 186 - 186 in the form w + r*l and give r.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-2)\/(-2)*-89 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 477 + 2?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 0. Let s(m) = -m - 2. Let u be s(r). Suppose -4*k + 10 = -u*k. Solve -4*h - 5*i + 6 = 0, -3*h - 11 + 33 = -k*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12162?\nAnswer: 2, 3, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k - 3*k - 13*k.\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:19 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -5 - (-1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2533048 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20)\/(-6 - (-945)\/(-70)).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w + 2*u, 4*w - 4*u - 6 = 10. Suppose 2*h = -5*r + 2 + 7, 5*h + w*r - 13 = 0. Suppose 26 = -0*t + h*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -34*o**2. Let g(i) = -16*i**2. Determine t(g(x)).\nAnswer: -8704*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:23 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2520 = 9*y + 15*y. Suppose -q - m = 42, 3*q - m + y = 3*m. What is q rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8457\/65 + -649\/5. Factor -q - 6\/13*o + 2\/13*o**3 + 0*o**2.\nAnswer: 2*(o - 2)*(o + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280048457 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + u**3)*(-6*u - 2 + 2)*(-4 - 6 + 2) + u**4 - 3*u**4 + u**4.\nAnswer: 47*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n**2 + 12*n**2 - 65*n - n**4 - 40*n + 2*n**4 to q*n**4 + a*n**2 + o*n**3 + f + m*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1\/(-1) + 2). Let r = -1858 + 1861. Put 1, r, m in decreasing order.\nAnswer: r, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 + 2412*y. Let h(d) = -6*d. Determine p(h(m)).\nAnswer: 180*m**2 - 14472*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(315) + (sqrt(315) - (sqrt(315) + -2*sqrt(315) + sqrt(315)))))\/(sqrt(90)\/sqrt(2)) - (5 + (sqrt(2268) + 2)**2)*1.\nAnswer: -2277 - 76*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 8\/(-4)*(-150)\/(-3). Let v = 215 - w. What is the remainder when v is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(105\/20)\/7. Suppose 0 = -f*s + 3*k + 234, -82 = -s - 4*k - 29. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1354646 from -0.5911.\nAnswer: -0.7265646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.11, -2\/15, 0.2, -121.\nAnswer: -121, -2\/15, 0.11, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 - n**4 - 6*n + 8*n - n**2 + 3*n**2 + 2*n**3 as v*n + y*n**4 + x + l*n**3 + o*n**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2 - 3)*-6. Suppose 22 = a - 4*w - w, 3*w + 16 = 2*a. Suppose 5*m = v*m - a. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 11 - 1. What is the derivative of 4*t**c + 16 + 14 + 30*t**3 wrt t?\nAnswer: 102*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 2832 = -8572. Calculate the lowest common multiple of b and 25.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19429 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7849700 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 111 + 178. Is k 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 2:49 AM and 6:18 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 8:55 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30900387757 + -243.\nAnswer: 30900387514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.310524 seconds to hours.\nAnswer: 0.00591959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2\/17 (b) 6 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -2*q**5\/5 + 47*q**4\/4 + 121*q - 71. What is the first derivative of d(r) wrt r?\nAnswer: -8*r**3 + 141*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143872 and 281.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25260.\nAnswer: 2, 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*d - 12, -5*d + 15 = -77*p + 80*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 6\/(-3) + 5. Let w = s - 3. Calculate the lowest common multiple of ((-2)\/(-3))\/(w\/(-1 - -4)) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.556 - 0.556. Which is the second smallest value? (a) -1\/4 (b) -0.499 (c) l (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/46*(-7 + 5))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3108\/30 - 4\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.7 less than 1.0931713069?\nAnswer: -210.6068286931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:49 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*u + 3*p, 2*p + 2*p - 42 = 2*u. Let a = 3 + u. Let s = a - -13. Let f(y) = y**2 - 5*y. Let z(v) = v**2 - 6*v. What is s*z(d) - 6*f(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 29. Suppose 0 = 2*b - 5 - 25. What is the greatest common divisor of w and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*h**2 - 22*h**5 + 47*h**2)*(1 - 2 - 1).\nAnswer: 44*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6696 is divided by 6485?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 7*z - 23*z)*(-2*z**3 + 1 + 7*z**3 - 4*z**3) - 5*z**4 + 3*z**4 + z**4.\nAnswer: -24*z**4 - 23*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 8:55 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 48 = -5*u, 5*g + 13 - 3 = 0. Suppose -5*w + 73 - u = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3285 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 30. Let u be (-36)\/8*-2*125\/5. What is the greatest common factor of m and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d**(1\/8)\/d)\/d)*d*d**(-1\/14)\/d*d)\/(d*d\/d**(-1)*d\/(d\/(d\/(d**(3\/2)*d*d)))))**(-46) assuming d is positive.\nAnswer: d**(-5543\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11064053.3+-0.76068\nAnswer: -11064054.06068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 212221?\nAnswer: 212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 4*l + 36, -45 = -4*y + l. Let h be (-3)\/y*(-2)\/4. Is h bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -188*u*x - 16*x + 3 wrt u?\nAnswer: -188*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 5, n: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 10*m**4 - 2*m**4 + 2 - 2 + (-2*m**4 + 3*m**4 + m**4)*(1 + 3 - 3) + 3*m**2 + 2*m**4 - 3*m**2 + 13*m**3 + 7*m**3 + m**3 - 2*m**4.\nAnswer: -10*m**4 + 21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -438912 divided by 762?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246764 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 - 12*u + 2. Let d(c) = c**2 + c - 1. Suppose -2*r - 1 = 7. Let n(s) = r*d(s) - a(s). Give n(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/2 (c) -3567\/11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-3 + sqrt(320) + -2 + sqrt(320) + -2)**2.\nAnswer: -672*sqrt(5) + 3992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/18)\/(95\/(-5510)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*f - 54, -3*f + 0*m - 50 = -m. Let w = 7 + f. Let h be (w\/4 + 1)*1. Put -0.4, h, 1 in descending order.\nAnswer: 1, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u - 3. Suppose -w = k - 2*k - 2, -2*k - 4*w = 4. Let p be l(k). Is -1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3193*j**3 - 3173*j**3 + 6364*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/2))\/g**7)**11*g**7*g*g\/g**(-1\/4)*(((g\/g**2)\/g)\/g)\/(g\/(g*g\/(g\/(g\/g**(1\/9)))*g)*g) assuming g is positive.\nAnswer: g**(-1921\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 882688*g\/13 + 407400\/13.\nAnswer: -2*(g + 33950)*(13*g - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 195.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {z: 2, a: 2, c: 4, n: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2081?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(117) - (3*(sqrt(117) - (sqrt(117) + 0)))**2) + 4 + (sqrt(117) - (0 + sqrt(117))) + 5.\nAnswer: 9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -7\/6*k**3 - 1\/24*k**4 + 6*k**2 + 0*k + 0. Calculate n(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(36)\/sqrt(3))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**6\/120 - 5*m**5\/3 - 203*m**4\/24 - 17*m**3 - 8*m**2 - 62*m. Factor r(k).\nAnswer: (k - 102)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -27*k - 14. Let p be q(4). Let t = 126 + p. Suppose 2*n + t*c - 486 = 0, -3*c = 9*n - 4*n - 1222. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 8*j + 7 + 6 - j to z + m*j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -10. Let n = 1 + -3. Calculate the remainder when n*((-175)\/2)\/5 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3*i - 6*i + i)*(0 - 9 - 3) to w*i + j and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6dd1b (base 14) to base 13.\nAnswer: 95425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5446)\/(252\/36 - (2247\/(-45))\/(-7)).\nAnswer: 3, 5, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 6\/(-12) + 18\/4. Suppose 0*w = -3*w + f*h + 432, 4*h + 718 = 5*w. What are the prime factors of w?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915518782.\nAnswer: 2, 17, 26927023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 + x**2 + 3*x**3)*(3 + 0 - 1)*(877*x - 254*x + 867*x) to c*x + f + l*x**4 + t*x**3 + w*x**2 and give l.\nAnswer: 8940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gppyyygy. Give prob of picking 2 y and 1 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvudumidduubdim. What is prob of picking 1 u and 1 i?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324660*h**4 - 89*h**2 - 1670?\nAnswer: -7791840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 - 12 - 338)*(-5 + 5 + 2*l).\nAnswer: -836*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1150)\/((-8)\/(-48)*-4).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*j - 90*j - 74*j.\nAnswer: -651*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**3 - 18*k**2 - 14*k - 5. Calculate c(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 19*i**3 + 13*i + 13. Let x(b) = 3*b**3 + 2*b + 2. Suppose 6*c = -15 - 21. What is c*o(q) + 39*x(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-42)*(140\/(-32))\/5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 110 = -o. Suppose z + 7 = 5*h, -o = -5*z - 7. Are h and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -14) + -38 + 42 + -5 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*p + 56233*r - 56230*r, p + 4*r + 1 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 209 + 37134?\nAnswer: 37343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0, 20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 0, 7, -1 in descending order.\nAnswer: 7, 6, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18591 and 738?\nAnswer: 4573386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 14 = m + q, 0 = m - 2*q - 13. Suppose -3*u + 22200015 = -m*x, -4*u + 3*x + 37000015 = u. Round u to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1130499033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 60*p + 3. Let z be v(-2). Let r be -4 + 1 - z\/3. Calculate the greatest common divisor of 54 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42031, -42238, -42591, -43096, -43759, -44586, -45583?\nAnswer: -46756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -6, -14, -40, -90, -170, -286?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13148995 is divided by 1948.\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**9\/(y*y\/(y*y**(-2\/27)))*((y**(-1\/4)\/y)\/y*y)\/y**(5\/2) assuming y is positive.\nAnswer: y**(451\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + b - 7 = 0, 10 + 7 = r - 5*b. Suppose -5*g = -r*p + 50, p + p + g = 50. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -185, -188, -185, -170, -137?\n\"Answer: q**3 - 3*q**2 - q - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121.721 + 121.651591. What is r rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 0.5, 2, 0.06, 0.04, -1115?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 16 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 10*b. Which is smaller: b or 14\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 381*k**2. Let u(c) = -3*c. What is n(u(o))?\nAnswer: 3429*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-17 - 0 - (-3 + 6 - -5))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woa when three letters picked without replacement from wpooa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/4 - 6\/(-4). Let l = d - -7. Let s be (l\/3)\/(1\/12). Solve -25 = s*v + 5*k + 3, 5*v + 22 = -3*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 2\/129 (c) 2546\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113230846 to the nearest integer?\nAnswer: 10641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1857997 - 9.4.\nAnswer: -1858006.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.608 to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5.3, 0, -4, 2, 0.2, -1, 4921?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 35. Let w be (-12)\/9*(b - 0). Differentiate -w + 1 - 3*u**2 + 2 - 1 with respect to u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 4:14 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g. Let s(d) = -1954*d**2 - 74*d + 1. Determine s(j(n)).\nAnswer: -17586*n**2 - 222*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Suppose -15 = -8*m + 5*m - 3*r, r + 3 = 3*m. Let v(d) = 2*d**m + 5 - 10 + d**2. Give v(f(l)).\nAnswer: 3*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22004280 is divided by 68549.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 6. Let y(v) = -1. Let g(r) = -2*y(r) - z(r). Let x be g(5). Solve w + 3*w = -f - 2, 6 = x*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26081656?\nAnswer: 2, 3260207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40751 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/135)\/((-18)\/81)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6214733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**3 + 46*g**3 - 80*g**3 + 45*g**3 + 2 + 37*g**3.\nAnswer: 28*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005292 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -2*v**6\/3 - 4*v**5\/5 + 45. Let b(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -408.9121974737897 - 0.0878018692103. Let l = d - -409. Round l to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1924 and 83\/14.\nAnswer: 13468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-18) + 1638745\/(-16479).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-20 - -28)\/((-2)\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-58 - -21)) + -29\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-6)\/144*-202)*((-224)\/(-12) + 0)?\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-42) + -1 + 2\/(-7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - (4 + -3)) + -6)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 1359*n - 9561. Let a be d(-7). Let o be 0 + 0 - (-4 - -1). Put 2, a, 4, o in decreasing order.\nAnswer: 4, o, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h**2 - 2*h**4 - 9*h**2)*(-3 + 0 + 2 + 2*h).\nAnswer: -4*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 1238\/9, -2, -0.2 in decreasing order.\nAnswer: 1238\/9, 3\/7, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 32790 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - 49) + (58 - 70 - -21) + -14.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - (0 + -4) - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 40 = -5*x, 5*w + 5 = 2*x + 20. Suppose -26 + w = -7*f. Solve -4*s + f*p + 27 = s, -p - 1 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvsvsvssvvss. Give prob of picking 2 s.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 298 + -158. Suppose x + 3*x - b = 0. Calculate the highest common factor of 10 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853.\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-6*5 - 2*(1*sqrt(133) + sqrt(133)))\/(((3*(2*sqrt(70) + sqrt(70)) - sqrt(70)) + sqrt(70))\/(1*sqrt(360))).\nAnswer: -68*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbbk when four letters picked without replacement from {k: 1, f: 3, b: 10, m: 1, j: 4}?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 divided by 6.\nAnswer: 194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -52*f**2 + 1243*f + 1475. Give z(25).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 39643 = a - 39659, -58*l = a - 301 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:51 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (448\/40 - 7) + 2\/(-10). Let w(u) = -u**3 + 6*u**2 - 5*u + 5. Let q be w(5). Suppose 5*j = -q*c + 940, -720 = -4*c - 0*c + b*j. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(17\/6)\/r**(-33))**(-37) assuming r is positive.\nAnswer: r**(-7955\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:54 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008266 rounded to 7 dps?\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let j be w(-1). Let k(m) = -m**3 - 2*m**2 - 2*m - 2. Let g be k(j). Solve -6*u = -g*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2907370 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 16*m**2 - 115*m - 115. What is f(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y - 3. Let s be (7\/((-7)\/y))\/(-1). Suppose 0 = s*p - 3*p - 2. Let b(u) = 3*u**3 + 2. Let q(d) = 13*d**3 + 8. Calculate p*q(j) + 9*b(j).\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5 - 42. Suppose -202 = -x + 3*x. Let a = j - x. Calculate the remainder when a is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22825*p = 4*h + 22827*p - 8, 4*h + p - 10 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 59226.99mg?\nAnswer: 0.00005922699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 355, 10246 in decreasing order.\nAnswer: 10246, 355, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8436*o**2 - 55*o - 67. Is x(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -1.25691668.\nAnswer: -1.45691668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 535605567 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -90570608 divided by -4\nAnswer: 22642652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448974 is divided by 16034?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28789409.\nAnswer: 11, 237929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + 36. Suppose 3*t + 2*t - 305 = 0. Suppose 59 = 4*s - t. What is the greatest common factor of p and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 0*j**2 - 3*j**2 + 3*j**2 - 18489*j.\nAnswer: -4*j**3 - 18489*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(90) + sqrt(90) + (3*sqrt(90) - sqrt(90)))\/sqrt(5))\/sqrt(9) - (1 + sqrt(4)\/sqrt(2) + 4).\nAnswer: -4*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**6\/300 - l**5\/30 + 25*l**2\/2 - 1. Let j(i) be the second derivative of y(i). Factor j(t).\nAnswer: 2*t**2*(t - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 0, 0 = -3*p - 2*i + 5*i + 279. Calculate the greatest common divisor of 48 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 + 14 = 0. Let w(x) = -x**2 + 9*x + 5. Let l be w(a). Suppose h = -4*m - 57 + 149, -l*h + 570 = -2*m. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*d - 6 = -454*d - h, -h = -5*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 64 * -0.094\nAnswer: -6.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/72*16\/3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 0 + 1\/12*b**4 + 0*b**2 + 1\/6*b**3 + 5*b. Let c(n) = -n**2 - 2. Let p be -1 - (-1)\/(1\/2). Calculate p*c(i) + 2*t(i).\nAnswer: i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35135?\nAnswer: 5, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*h - 15 = -3*h, -4*a + 21 = -3*h. Suppose -n - 2*i + 149 = 0, 0 = 2*n - 0*i + a*i - 298. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12274487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181687, 181663, 181639?\nAnswer: 181615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 193*s - 192*s + 1 + 23*s**3 in the form l + m*s + z*s**2 + j*s**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m + m - m + (-3*m - m + 3*m)*(2 - 2 - 3).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -29. Let j be -2 - (-67)\/y*-4. Suppose -4*u = 2*m - 24, 0 = -3*m - m + 5*u + 48. Calculate the greatest common factor of m and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let f = 12 - 10. Suppose f*u - u - 14 = q. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643 (base 9) in base 11?\nAnswer: a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 19*i**2 - 29*i**2 - 13 - 25*i + 2*i**2.\nAnswer: -8*i**2 - 25*i - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 81*q**3\/7 + 86148*q**2 - 23678336*q\/7 + 231824384\/7 = 0.\nAnswer: -7484, 176\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -5 + 5)\/2. Let y(b) be the first derivative of -2*b**4 - 9*b - 2. Suppose 8 = -5*c + 98. Let g(x) = x**3 + 1. Give c*g(m) + s*y(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from xwedoddxxxdxg?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209 by 3259.\nAnswer: -209\/3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/(8\/(-16)). Let j be (2 - 4)*s - -79. What is the greatest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 117, 122, 131, 144, 161, 182, 207?\n\"Answer: 2*t**2 - t + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.5, 2\/53, -4\/9?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 280 * 763.\nAnswer: 213640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 878 - 733. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/8)\/(((-18)\/(-6))\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019604 to five decimal places.\nAnswer: 0.00196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 5*j - 1. Let g be s(6). Suppose 2 = -4*y - 5*n, -4*y + 11 = -4*n - g. Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1093, 0.17, -0.5, -25\/8, 3?\nAnswer: -1093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 744 and 3348?\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -n - 7. Suppose 0 = 2*o + c - 2*c - 20, 5*c = 3*o - 23. Calculate the remainder when o is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-428)\/642*((-1)\/(-5))\/((-2)\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Suppose -c + 48 = k - 0*k, 240 = g*c - 2*k. Let w = 104 - c. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*b - 123, 58 = 4*q - 4*b - 74. Suppose -y = -16 - 3. What is the remainder when q is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*y**3 - 3*y**2 + 43*y**3 - 41*y**3 - 3 + 32*y**3 - y to the form g*y**3 + c*y**2 + o + u*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 80*s. Let v(u) = 34*u**2. Let y(g) = 5*g**2. Let p(z) = 4*v(z) - 28*y(z). Give w(p(a)).\nAnswer: 32*a**4 + 320*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15067472 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001489532 to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -22520710 and 2.\nAnswer: -22520708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21352 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27 + -3)*(5 - -1)*(-14)\/63. Is l at least -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(19) - sqrt(19)*-2) + (sqrt(19) - (0 + sqrt(304)))) + 3 + 5 + sqrt(76)\/sqrt(4) + (-5 + sqrt(171) - sqrt(19)))**2.\nAnswer: 90*sqrt(19) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1439*x**3 + 54*x**2 + 5*x - 25952 wrt x.\nAnswer: -8634*x + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204935 is divided by 165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406 and 54922?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 20*f. Let r(c) = -2*c**2 - 7*c. Let h be r(-3). Suppose h*u + 17 = 29. Let z(x) = x - u*x + x + 0*x. Calculate l(z(p)).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and (4*(-6)\/(-30))\/(2\/15).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let u(t) be the third derivative of t**6\/240 + 5*t**4\/24 + 5*t**2. Let i(z) be the second derivative of u(z). Determine o(i(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2547263147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*h**3 - 580*h - 119*h + 112*h wrt h.\nAnswer: 366*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364002, -0.3, 88 in descending order.\nAnswer: 364002, 88, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let q(k) be the third derivative of 7*k**5\/60 - k**2. Give q(s(p)).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 50*d**3\/7 + 1952154*d**2\/7 + 62573772*d\/7 + 713344 = 0.\nAnswer: -39011, -32, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - -351. What are the prime factors of i?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5847 + 103*s**3 + 5847 + (3*s**2 - 3*s**2 - s**2)*(s - s - 2*s).\nAnswer: 105*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 + 23*u. Let p(g) = 32*g**2 - 114*g. Let m(h) = -11*i(h) - 2*p(h). What is the second derivative of m(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + 66. Let c = 133 - j. Is c >= 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 180655 = 3*u, 4*u + 97876 = -4*w + 278532. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/18*(-32)\/(-40).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1875714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1294*d**6 + 238*d**2 wrt d.\nAnswer: -155280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 28 - -44) + (-2 + 0 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c + 21 = -3*n, 23 = 3*c - 5*n. Let t(u) = u. Determine t(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, -2, -1, 1014.\nAnswer: -2, -1, 3, 14, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*h**2 - 6*h - 15 = 0 for h.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/(-231) - (-2)\/(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - (-9 - -34)) + -26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1838, 7347, 16482, 29201, 45462, 65223, 88442?\n\"Answer: -7*c**3 + 1855*c**2 - 7*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -436526.\nAnswer: -1\/218263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2750, 11052, 24896, 44288, 69234, 99740, 135812?\n\"Answer: p**3 + 2765*p**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15627, 31251, 46875, 62499?\n\"Answer: 15624*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -5, -54 in decreasing order.\nAnswer: 3\/5, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6\/2*(-38)\/(-3) and 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*v**3 + 5*m**3*v + m**2*v - 2*m*v**2 + 19*v**3 wrt v?\nAnswer: 12*m**3 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = 3*v, -3*v - 5*f + 5 = -50. Suppose -3*t + 13 = v. Let m(u) = -7*u + 1. Determine m(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 20. Let c be (299 + 2 + x)*1\/2. Suppose 3*d = 4*k + c, 4*k - 63 = -d - k. Is d 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 12:29 PM and 4:43 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60755\/12 + -5069. Let v = 61727\/26642 - 366\/173. Calculate the common denominator of v and n.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8253 + 28203. List the prime factors of l.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 10571844.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 1443?\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*g = -294*g - 3*i - 30, -29*g + 5*i + 60 = -24*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-5)\/(-2) - 3). Suppose 5*x + 112 = -4*s, 5*x = 2*x + w*s - 48. Let t = x + 38. Which is bigger: 19 or t?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1349 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 244\/131, 0 in descending order.\nAnswer: 244\/131, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 2*z - 2. Let r = -123 - -95. Let h(l) = -l**2 - 28*l - 2. Let b be h(r). Give c(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**6\/24 - v**5\/10 + v**3\/6 - v**2\/8 - 11. Factor m(i).\nAnswer: i*(i - 1)**3*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 37)\/(-27 + (-855)\/(-27))?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608760.6 microseconds in seconds?\nAnswer: 0.6087606","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6295113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4000 - 12?\nAnswer: -4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*q + 676, 3*p - 520 = 11*q - 16*q. Let g = p + -160. Solve -4*w = -2*s - g, 6 + 19 = 5*w - 5*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((((-2*sqrt(330))\/sqrt(11))\/sqrt(10) - (-3 + -5*(sqrt(27) + sqrt(3)))) + 2))**2.\nAnswer: 720*sqrt(3) + 3988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 3, 1, 64 in increasing order.\nAnswer: -6, 1, 3, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/2 - 137*b**4\/2 + 427*b**3 - 289*b**2 - 853*b\/2 + 715\/2 = 0.\nAnswer: -143, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 112, 94, 58, -2, -92, -218, -386?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 18. What is p(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f + 1515 = 0. Suppose -328 = -o + f. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -f. Let u(x) = -x**2 + 22*x - 68. Calculate the remainder when u(4) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 - 33*a + 54. Let o(s) = s**2 - 8*s + 13. Let l = -245 - -247. Let v(d) = l*n(d) - 9*o(d). What is v(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-5\/4)*l*((l**18*l)\/l)\/l*l assuming l is positive.\nAnswer: l**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 12) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161.7 - -162. Which is smaller: -1.1 or o?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-3 - (-1 - 7))) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9187, 16824, 22909, 27442, 30423, 31852, 31729?\n\"Answer: -776*p**2 + 9965*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/19)\/z**(-2\/7))\/(z**(-2\/7)*z\/((z**9\/z)\/z)) assuming z is positive.\nAnswer: z**(860\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68 or -70?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -5, -263, -29 in descending order.\nAnswer: 9, 0, -5, -29, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 166131 and 810?\nAnswer: 1661310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b3 - 3?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (2*(-17)\/(-3))\/((-20)\/(-30)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 126*h - 83. List the prime factors of u(5).\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 941.281607 + -941.22. What is f rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/53, -2\/3, -4\/27, 2\/11, -2?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -358 - -370. Calculate the highest common factor of r and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 47*c**5\/40 + 15*c**4\/2 + 11*c**3\/3 + c + 68. Let k(q) be the third derivative of p(q). Differentiate k(j) with respect to j.\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 times 0.02?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from zazkakkz.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296032167 by -98677389.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.65 + 0.21. Let t = -0.24 - r. Sort 0, 5, t, -3\/2.\nAnswer: -3\/2, 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32f - -ba?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10582 divided by -118.\nAnswer: 5291\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -65. Suppose -1913 = -2*i - 1855. Calculate the remainder when i is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -6\/2681 (c) -10\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 135*o**3 - 125*o**2 + 135*o + 130.\nAnswer: -5*(o - 1)*(o + 1)**2*(o + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442099.\nAnswer: 7, 137, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1719\/14, -2\/7, -1, 0.09.\nAnswer: -1719\/14, -1, -2\/7, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5441190 is divided by 703?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {b: 5, a: 2, k: 5, h: 3, y: 4}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -323 by -17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1977 or -1974?\nAnswer: -1977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159094158203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164998500, 329997003, 494995506?\nAnswer: 659994009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/28892496 and 31\/5126088.\nAnswer: 317817456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3)**(3\/4)*g**12\/g**3 assuming g is positive.\nAnswer: g**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/55*(-6600)\/(-600). Which is the nearest to -5\/4? (a) 2 (b) 0 (c) r (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114003669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/8 + (-2)\/(-1). Let s = -2.99 + -0.01. Let t = 2.2 + -2. Which is the second biggest value? (a) s (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x + 1224 = 102*x + 100*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30505022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*h - 24 + 15*h + 34*h - 96*h**2 - 2*h**6 + 2294*h**3 + 21 wrt h?\nAnswer: -240*h**3 + 13764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882241*t**3 + 476418*t**3 + 436075*t**3.\nAnswer: 1794734*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 30 = 4*h, 47 = 2*q + 3*q + 4*h. Suppose 0 = 119*f - 128*f + 90. What is the remainder when q is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117926459*k - 54118290 with respect to k.\nAnswer: -117926459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -0.25996, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 61\/2. Put n, 2, -2\/11 in increasing order.\nAnswer: -2\/11, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*j. Let v = 3 + j. Suppose v*u = 3 + 3. What is the least common multiple of 10 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, y: 1}. What is prob of sequence yk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 18 - (3 + -2 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -5*f - 42. Let u = f - -9. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = y - 5. Let r = 7 - y. Suppose -r*v = -9*v. What is the closest to 1 in 5\/3, v, 3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b (base 16) in base 11?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 19 = -2*w, 1293*l + 29*w = 1301*l + 32*w - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -159*c**2 + 53*c**2 + 49*c**2 + 1 + 56*c**2. Suppose 0 = -3*m - 5*g - 5, 4*g = 3*m + 8*g + 4. Calculate n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5 + 59070*p**4 - 289704171*p**3 - 10540193580*p**2 + 168097712832*p = 0 for p.\nAnswer: -48, 0, 12, 9863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64.0035 and 82.\nAnswer: -5248.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 15, z: 4}. What is prob of picking 1 z and 1 f?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 16*l**2 + 5*l - 6. Let h be r(1). Let z = h + 43. What is the remainder when z is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1013.06 - 985. Let n = a - 0.06. Let x = -26.3 + n. Round x to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 21, 9\/17, -5, -16.1 in descending order.\nAnswer: 21, 5, 9\/17, -2, -5, -16.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2425 (base 6) in base 3?\nAnswer: -210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 6*w - 4. Let t(m) = -m**2 - 7*m + 5. Suppose 4*f = 2*x + 24, -f - 5*x - 32 = -4*f. What is f*t(p) + 5*r(p)?\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1398705586 or 1398705585?\nAnswer: 1398705586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayay when four letters picked without replacement from yyyyasaayay.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -25. Let l(v) = v**2 - v. Let o be 2*((-7)\/(-2) - 4). Let s(b) = 12*b - 16. Let i(t) = n*l(t) + o*s(t). Let i(z) = 0. What is z?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 96.8. Let u = -27 - v. What is u rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**3 - 6725*i**2 - 54040*i - 108240 = 0.\nAnswer: -4, 1353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -330+42882609.6\nAnswer: 42882279.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/33))**(29\/5)*(f**(-15))**(-4\/11) assuming f is positive.\nAnswer: f**(842\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1167 + 17*c + c**2 + 2*c**4 - 994 + 26*c - c**2 wrt c.\nAnswer: 8*c**3 + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**3 + 10104*d**2 - 6088356*d - 373336544 = 0.\nAnswer: -56, 1291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -7. Let k = -115 + 115.2. Which is the third biggest value? (a) w (b) 7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c - 1. Let x(n) = 28*n**3 - 4*n**2 + 4*n - 4. Let l be 60\/(-24) + 21\/14. Give l*x(z) + 4*t(z).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 - (-43 + -22 + -3 - -35)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -815, -0.4, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/3)\/(u*u\/((u*u**(1\/16)*u)\/u))*(u**(-1))**(1\/9) assuming u is positive.\nAnswer: u**(-199\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 + -6.09. Let b = k + 4. Let r = 2 + b. What is the third biggest value in r, 0.3, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 6. Let f(n) be the second derivative of -n**5\/20 + 7*n**4\/12 - 5*n**3\/6 - n**2\/2 + 174306*n. Calculate f(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:58 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**4 - 3*p. Let a(g) = 59*g**4 + 18*g**2 - g. Let i(o) = -a(o) - 2*h(o). Find the third derivative of i(q) wrt q.\nAnswer: -1464*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.078 (b) -481 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 34 times -333\nAnswer: -11322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdmmmmmmmmmddm. What is prob of sequence md?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -3*a**5\/10 + a**2 + a + 6. Let t(f) be the first derivative of u(f). Find the first derivative of t(r) wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 3*p - 2*p)*(-10*p - 16 + 16)*(-2 + 1 + 4 + (0 - 2 + 3)*(-1 + 0 + 3)) to the form x*p + c*p**2 + j and give c.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(2\/13)*o*o*o\/o**11*o*o\/(o*o\/((o\/(o*o*o**(-1\/12))*o)\/o))*o**(5\/3) assuming o is positive.\nAnswer: o**(-265\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -60*l + 21. Let i(k) = 30*k - 10. Let w(h) = 7*i(h) + 3*p(h). Let j be w(1). Sort -3, 0.1, 0.5, j in descending order.\nAnswer: j, 0.5, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Let t(y) = -y**3 + 3*y**2 - 1. Calculate the smallest common multiple of 10 and t(s).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((((u\/u**10)\/u)\/u)\/u)*u))\/u**(-9\/5))**(-12) assuming u is positive.\nAnswer: u**(672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38647863 rounded to 4 dps?\nAnswer: -0.3865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q + 5*o = -5, -q = 2*o + 5. Suppose -q = -3*f + 4. Suppose -l - 2*z = -f*l + 1260, z = 1. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-338)\/1690*(-50)\/26\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4693.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, 5, -3233 in increasing order.\nAnswer: -3233, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 147\/(-245)*(-12)\/(-9)*(-1)\/(-2). Let w = 0.4 - 0.3. Let r = 0.2 - w. Which is the smallest value? (a) r (b) x (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*c**3 + 377*c**2 + 23932*c - 2 wrt c.\nAnswer: 246*c + 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 3*z - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 10:17 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*t + 101*f**3 - 4*f**2 - 5*f*t wrt f?\nAnswer: -6*t + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 340, 2282, 7508, 17704, 34556?\n\"Answer: 281*i**3 - 44*i**2 + 107*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*i - 158 - 20 - 135*i)*(-3 + 5 + 3).\nAnswer: -5*i - 890","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/7 - 0) + (5 - 4). Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -357 (b) -0.4 (c) -3 (d) -34 (e) 5 (f) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30583, 61282, 92051, 122890, 153799?\nAnswer: 184778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.04 + -1.04. Let y = 44 - u. Suppose 5*k = 5*q + 20, -17 = 3*q + 4*k + 2. Which is the nearest to 1? (a) y (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/(3\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088769 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -20*f**3 - 29*f**2 - 12*f - 9. Let v(w) = -7*w**3 - 10*w**2 - 4*w - 3. Let m(u) = -6*t(u) + 17*v(u). Calculate m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 4\/3*i**3 + 0*i**2 - 1\/270*i**5 + 0*i + 0*i**4 - 1\/1620*i**6 + 7. Let n(b) be the third derivative of u(b). Factor n(j).\nAnswer: -2*j*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18474875 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 138340237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (144\/(-27))\/(1\/(-3)). Suppose 2*i + 27 = 2*n - i, i = n - a. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103523840 + 11.8.\nAnswer: 103523851.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*n**3 + 453*n**2 - 1.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -56 in descending order.\nAnswer: 0, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**3 + 16*p**2 - 9*p - 14. Let s(c) = -14*c**3 - 46*c**2 + 25*c + 41. Let o(a) = -6*s(a) - 17*u(a). Calculate o(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4887583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + o - 4 = 2*d, 3*d + 5*o = 20. Suppose -m - 4*m = d. Solve 0*p + 3*p + u + 19 = m, 3*p - 5 = 5*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 2\/9, 3449, 3 in descending order.\nAnswer: 3449, 3, 2\/9, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -4, -2, 11, -5 in increasing order.\nAnswer: -5, -4, -2, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75680810?\nAnswer: 2, 5, 23, 47, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 1 h when three letters picked without replacement from {h: 6, b: 2, a: 3, t: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from xxvxvxvvvxvxxv.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29904542923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:42 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400424033 (base 5) in base 10?\nAnswer: 1576768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46165400 divided by -2308270?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**2 + 6*l + 12. Let g(o) = 23*o**2 - 20*o - 40. Let n(x) = -10*d(x) - 3*g(x). Let k(t) = -3*t**2 + 130. Determine k(n(v)).\nAnswer: -3*v**4 + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2081 + -1.6081. Put -19\/6, 6, -2\/7, 3\/2, l in increasing order.\nAnswer: -19\/6, l, -2\/7, 3\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 3, -0.2, 2\/53, 1\/15, -17.\nAnswer: -17, -0.2, 2\/53, 1\/15, 2\/25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12471 is divided by 389.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 2\/12 - 23\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193752878 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (32\/(-1314))\/((-111)\/1332) and -49\/33.\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = -10*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -110. Find the common denominator of 83\/44 and (-13)\/(-156)*(35 + q).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:28 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 92 = -4*h - 2*f, -3*h = -4*f + 80. Let j = h + -9. Is 6\/j + (-1392)\/(-33) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.62 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.18, -3\/7, 0.7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -3170420.\nAnswer: -1\/317042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*l + 272, 3*l + 200 = -3*h + 2*h. Let r = l + 38. Let z = -17 - r. What is the highest common factor of 99 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s + 7. Let i(h) = 1. Let f(b) = -2*i(b) + z(b). Determine f(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 349*i. Let f(q) = -600308*q. What is v(f(t))?\nAnswer: -209507492*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 245 and 29000?\nAnswer: 1421000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 503124803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.88618g?\nAnswer: 0.00788618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 smaller than 3163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 6 - (11 - ((-4 - -39) + -2)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 71164611, 71164609, 71164605, 71164599?\n\"Answer: -b**2 + b + 71164611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -25*z + 57. What is x(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7a93b (base 13) to base 15\nAnswer: 4632d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -26 (c) 2\/3 (d) 22 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 585*a + 580.\nAnswer: 5*(a + 1)*(a + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25911?\nAnswer: 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-12) - ((-28)\/(-3) - (-67 - -35 - -41)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -85, -199, -357?\n\"Answer: -22*b**2 - 4*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*j**3 + 21*j**2 + 6*j - 101210 wrt j.\nAnswer: 15*j**2 + 42*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*v + 314*v + 45*v.\nAnswer: 473*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**5\/12 - 5*o**4\/12 - 13*o**2\/2 + 17*o. Let p(f) be the first derivative of g(f). Factor p(m).\nAnswer: -5*m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1001 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 24473.547.\nAnswer: 122367.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*n - 3*y, 5*n - 36*y = -41*y + 25 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10810092 is divided by 133.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3 + (-1025)\/(-123)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(5 + -4))\/2. Let p = 2\/177 - 1076\/1239. Which is bigger: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*x - 4*x + 0*x)*(0 + 2 - 3) + 66606 + 91*x - 66606)*(-4 + 4 + 3) to the form d + r*x and give r.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 168 (base 11) to base 4\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 385460 and 77092.\nAnswer: 385460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5872682 + 5.\nAnswer: -5872677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 173685, 173686, 173687, 173688, 173689?\n\"Answer: l + 173684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/515 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56105*i + 5*i**3 + i**4 - 3 + 0*i**2 - 2*i**3 - 56092*i + 2*i**2 to the form g*i**2 + j*i**3 + l*i**4 + f*i + o and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(104)*-4)\/((-4*sqrt(88))\/sqrt(11)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-15))\/(6\/20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let z be i(-7). Put z, -5, 3 in descending order.\nAnswer: z, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(468) + 4*(sqrt(468) - (sqrt(468)*1 - sqrt(468))) + -2*sqrt(468)*2 + 3)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/2 + 18\/(-4) + 6. Let c(w) = -5*w**2 - w**3 + 17*w - 19*w - n + 1. Calculate c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b + 15. Let h(a) = 10*a - 21. Let z(k) = -14*d(k) - 10*h(k). Let u(l) = 535*l**2. What is u(z(t))?\nAnswer: 2140*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -104*t + 45. Is z(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 6:35 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/((-21)\/(-2))*3. Suppose -l*h - 2*t = -38, -2 = 2*h + 5*t - 40. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -3\/7*p**7 - 168 + 0*p**4 - 1\/3*p**6 + 0*p**5 - 2\/3*p**3 - 7\/2*p**2 + 0*p. Find the third derivative of v(q) wrt q.\nAnswer: -360*q**3 - 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/6 - 5*l**4\/3 + 413*l**3\/6 + 293*l**2 - 360*l = 0.\nAnswer: -24, -5, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 23773074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40835 + 13513 = 1541*k - 230*k + 38228 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*z - 26*z + 60. Let k = 76 + -79. Sort k, -2, z, 5.\nAnswer: z, k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, m: 5, b: 3, v: 3}. Give prob of picking 2 s and 1 b.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55008, -55006, -55004, -55002, -55000, -54998?\n\"Answer: 2*i - 55010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpptkkt. What is prob of sequence kt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yss when three letters picked without replacement from {p: 2, s: 2, w: 1, m: 1, e: 2, y: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00049968744 rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 39*n = -35 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**(2\/3)\/(((d\/(d*d*d**3))\/d)\/d*d**(-3)) assuming d is positive.\nAnswer: d**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 199*i**2 + 1. Is r(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 117, 231, 357, 495?\n\"Answer: 6*b**2 + 96*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(130) + sqrt(130)*2)*-3)\/(sqrt(160) + (sqrt(160) - (sqrt(160) + -5*(sqrt(160) + -4*sqrt(160) - sqrt(160)) - sqrt(160))) - sqrt(160)).\nAnswer: -9*sqrt(13)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98323 or 98372?\nAnswer: 98323","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let x = q - -16. 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 -0.141 + 527?\nAnswer: 526.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5334 times -20247\nAnswer: -10799.7498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/6)*x*x**(1\/15)\/x*(x\/(x\/(x*x\/(x**(-6)*x))))**16 assuming x is positive.\nAnswer: x**(3367\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2549 - -458821\/180. Calculate the common denominator of 83\/105 and h.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 10*m**2 - 16*m + 5. Let q be g(8). Suppose -2*u = 5*y - 163, -q*y - 4*u + 26 = -145. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5 = -0*u + 4*u, -2*u + 13 = -5*l. Let m be (l - -6) + 147\/(-47). Let i = 52\/329 - m. Is i > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10632619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25326044 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19380 and 3262110?\nAnswer: 110911740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*2*-1*3\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/5)*k**(3\/4))\/((k\/k**(-5))\/k**(-2)) assuming k is positive.\nAnswer: k**(-133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5833 - -1.5833. Which is the nearest to x? (a) 2\/55 (b) 6\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -80*h**2. Let w(o) be the first derivative of -o**6\/360 - 9*o**3 + 19. Let c(x) be the third derivative of w(x). Give l(c(d)).\nAnswer: -80*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -1 (c) -2\/23 (d) 132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 - k**2 + k**2)*(-2*k - k - k) + 0*k**3 + 0*k**3 - 3*k**4 - 2*k**4 + 6 - 5 + 3.\nAnswer: 11*k**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:39 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -12, 3*i = 2*f + 1 + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204926506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - (-15 + (-8 - -21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -383*j**5 + 14*j**2 + j - 10. Let q(a) = 2*a**2. Let n(v) = 7*q(v) - r(v). What is the second derivative of n(c) wrt c?\nAnswer: 7660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 21\/5. Let s be (-4 - -8 - 2)\/(-6). Sort -3\/7, s, w in ascending order.\nAnswer: -3\/7, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3cc7c + 1?\nAnswer: 3cc7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 4}. Give prob of picking 1 g and 1 v.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -3*z - 31 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13295 + 977 = 4*l - 4*j, 0 = 2*l - 6*j - 7148. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -8 + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 77\/5 - 2\/5. Suppose r = -0*w - 3*w. What is the second smallest value in 1, 2, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -136.391 and 0.2822.\nAnswer: -136.1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -529. Suppose 431*b = m*b + 455. What are the prime factors of b?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762300 rounded to the nearest ten thousand?\nAnswer: 2760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 37. Suppose -r = 3*c + 2*c - 6, 0 = -5*c + 2*r + y. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*u + 25 = 0, k + 2*u = 3*k + 26. Let x be (-3)\/(42\/k)*7. Suppose x*i - 40 - 225 = 0. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13424322 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u - 51. What is the remainder when 1572 is divided by f(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y - 6 = 0. Let i(h) = -2*h**2 - 3*h**3 + 4*h**3 - 4 - 3*h**3 + 3*h**3. Let q be i(3). Solve y = -q*l + 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -0.171703272?\nAnswer: -0.128296728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h + 2277. What is f(194)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 1\/24*o**4 + 3\/2*o**3 + 0*o + 0 + 30*o**2. Let y(k) = -k - 8. What is 6*u(c) + 7*y(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(6\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 5 - -1 - 42. Let j be b\/(-20)*(-2)\/12. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2833155*m**2 + 80794388*m.\nAnswer: -5666310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (497*n + 639*n - 2019*n - 1)*(-n - 2*n + 4*n).\nAnswer: -883*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -856 greater than -89398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + -0.08519.\nAnswer: 1.51481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1\/(l\/(l\/l**(2\/5)))*l\/(l\/l**(3\/7))*l*l**1 assuming l is positive.\nAnswer: l**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.2 * 88.22.\nAnswer: 723.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 43 = 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -326*l + 1631. Let p be o(5). Which is bigger: p or 3\/902?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 26 - 1 = 0. Suppose -4*d = 4*h - 4, d - m = -0*h - 3*h. Calculate the lowest common multiple of h and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 646852 and 5696?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 * 0.7.\nAnswer: -46.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yythtmmmmttyyymmy. What is prob of sequence hmy?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:32 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**9)\/v**(-3\/5)*(v\/(v*v\/(v*v**1)*v))**(-3\/8))**(-38) assuming v is positive.\nAnswer: v**(1406\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -929, -7783, -26465, -62879, -122929, -212519?\nAnswer: -337553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 2 - (-5 - 93\/(-24)). Which is the closest to -2? (a) -7\/2 (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c - 10. Calculate y(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4532528683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -73116.77 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x = 4. Suppose 35*i + 18 = c + 32*i, -2*c + 8 = i. Let f(o) = o**2 + 8*o - 80. Let u be f(c). Solve -4*g = 4, 3*d - x*g = u*d + 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642645 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 11. Let g(h) = -h**2 + 2*h + 3. Let r be g(3). Let n(j) = -j + 5. Let z be n(0). Solve c*f - f + z = r, i - 7 = 3*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = -7*o + 65 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = 3*o, -5*r - 32 = 5*o - 7. Let y(v) = -v**3 + v**2 + v + 4. Let b be y(0). Suppose 1\/3*f**b + f**3 + r + f**2 + 1\/3*f = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.575983 + -2.571. Round j to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 211*i**2 + 2035*i - 33000. Determine j(-200).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/((-1)\/4). Suppose -5*u = 4*r - 23, -z*u + 3*u + 7 = 5*r. Suppose -5 - u = -4*y, y = 3*m - 19. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y - 5*z - 493, y - 5*z = 161. Suppose 4*s = -5*d + 288, s - 2*s = -3*d + y. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Let s(n) = -11*n + 176. Let h = -401 + 417. Let o be s(h). Solve 0 = 3*u - z*u - 3*v - 4, 5*u - 2*v - 28 = o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*w + 9 - 0, r - w - 6 = 0. Suppose 2*s + r*s = 55. Which is smaller: 12 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z, 12*h - 10*h + 5*z = 46. Let a be 8\/28*h\/36. Factor 0 - 4\/7*g - a*g**2.\nAnswer: -g*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112443?\nAnswer: 3, 37, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2. Let w(f) = -3 + 3 - 23*f + 11*f. Determine w(u(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6.285*3968\nAnswer: -24938.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/3 - 270873020*h**2\/3 - 541746052*h\/3 - 270873028\/3.\nAnswer: 4*(h - 67718257)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 2*q**2 - 19*q**2 + 0*q**2 to the form t + f*q**2 + b*q and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111)\/259)\/((15\/3)\/(-5)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*a - 2*d + 5*d, 5*a - 5*d + 60 = 0. Let z = 7 + a. Let k = 88\/3 + -29. Is z < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d - 21. Determine t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, 5, -513, -1 in ascending order.\nAnswer: -513, -1, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509941092?\nAnswer: 2, 3, 42495091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0) + 104\/(-72). Suppose 0 = 3*v + 9, 5*s + 2*v = -0*s - 11. Let x be (-7 - s) + 1 + 0. What is the nearest to -2\/3 in 2, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/11, -18, 23, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.7 + -4.7. Suppose 3*p - 2*o + 25 = -2*p, 0 = 2*o - 10. What is the biggest value in m, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**2 - 8*r + 7. Let w be y(-3). Put w, 3, -5 in increasing order.\nAnswer: -5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 723 and 2118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = 3*j + 5*h, -4*j + 3*h = -24. Let x be (-2)\/5 - 5\/(125\/(-70)). Factor 0 - 3\/5*v**4 + 6\/5*v + x*v**j - 3*v**2.\nAnswer: -3*v*(v - 2)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-11 + 17 - 36)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (990\/(-225))\/((-4)\/10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 96 = 7*s. Let t be 1*(-28)\/s + 4\/6. What is the second derivative of -33*d + t*d**3 - 6*d**3 - 4*d**3 + 44*d wrt d?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239812 + 239828 + 638*p - 437*p.\nAnswer: 201*p + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k**3 - 2*k + 75. Let q(m) = -2*m**3 - m + 2. Give 2*q(j) - t(j).\nAnswer: 5*j**3 - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 2. Let f be a(3). Let k(r) = -r**3 - 10*r**2 - 2. Let g be k(-10). Let u be (g\/24)\/((-1)\/3). Which is bigger: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03 and 0.008548728.\nAnswer: -0.021451272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*10\/(-385)*1\/6*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(22*c**2 - 22*c**2 + 7*c**4) - 3 + 3 + 2*c**4.\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25770071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 11. Let n be ((-4)\/10)\/(2\/(-20)). Let i be b(n). Let m(a) = -3*a**2 + 14*a + 6. Let g be m(i). What is the greatest common factor of 11 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -49, -15, -87 in increasing order.\nAnswer: -87, -49, -15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -6) + (15 - (0 - -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - n + 95. Let x be k(0). Suppose -3*y + j + 269 = 0, -y = -2*y - j + x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 2, i: 1}. What is prob of picking 1 i and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - 4. Let o = 30 + s. Suppose 4*k - 8 = 2*k. Solve -k*f + 0 = -o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 191.1251518\nAnswer: 196.1251518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:18 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.81 - -0.1.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178175036 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from voohoofoookzkoofoh. What is prob of picking 1 k and 3 o?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000086647 to 7 dps.\nAnswer: -0.0000866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-6\/11)))\/(w**(9\/2)*w*w))**(-25)*((((w\/w**(-2\/19))\/w*w)\/w)**(-2\/3))**(-7\/4) assuming w is positive.\nAnswer: w**(186829\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163466\/7 - -23353. What is the closest to x in 4, -2, -8, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32355731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*i - g + 10, -24 = -3*i - 3*g. Solve i*f + 14 = c, c + 3*c - 4*f = 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9770 rounded to the nearest 100?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3, -0.4, 12, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46*2\/8*916\/(-1374)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + (0 + -3 + sqrt(325) + sqrt(325) - (sqrt(325) - -5*5*sqrt(325) - sqrt(325))))**2.\nAnswer: -230*sqrt(13) + 171921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 2578 + 3046. Round s to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 24880329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - g - 2. Let d be l(2). Let v be -1 + 1 + -1 - -4. Let c = v + -6. Sort 5, c, d in decreasing order.\nAnswer: 5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413834?\nAnswer: 2, 206917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-21))\/(((-25)\/12)\/(-25)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 17*j**2 + 491*j + 6. Let f be a(-29). Solve 0 = 15*l + f + 26 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-5) + (1 - 2). Let a = 0.05 - 0.25. Let y = 0.3 + a. Put s, -3, y in decreasing order.\nAnswer: s, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 4*w + 8, 4 = -u. Let g be 3 + 0 + (w - -40). Suppose s = -k + g, 3*k - 38 = 2*s + 72. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 11*m**2\/2 - m - 9. Give f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2448) + sqrt(2448) + -3 + sqrt(2448))*-2*3 - 2*(sqrt(2448) + -1 + sqrt(2448) + 0 + (sqrt(2448) - (-1 + sqrt(2448))) + -4))**2.\nAnswer: -13728*sqrt(17) + 1185508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.104 - -0.104. What is the third smallest value in 0.2, t, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8918.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -880 + 984. Calculate the smallest common multiple of g and 520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, o: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h**2 - 4*h - 2 - 3*h**4 + 12*h**2 + 0 + 6*h**2 in the form j*h**4 + q*h**2 + l*h**3 + y*h + t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + f + 3 = 0, 0 = -20*k + 17*k - 4*f - 12. Does k = 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335 by 4.\nAnswer: -335\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 66*s + 12. Determine l(1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7084328 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 106354520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*v - 6599 + 6599.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7444728 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s - 133. What is y(-11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 258281189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -480550 (base 9) in base 13?\nAnswer: -a17b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:47 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-165)*-9*290\/(-87)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*o + 7*o - 480 = -0*o. Solve u = -5*s - 21, -o*u - 18 = -7*u + 5*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6238573?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -2 - 12 - -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2164150.\nAnswer: 2, 5, 43283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5c9 (base 15) to base 12\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255673 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 10*(-11)\/(-56). Let s = k + 19\/252. Let a(d) = -d**3 + 10*d**2 + d - 9. Let p be a(10). Is p bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1, 33.2, 4\/3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 324444569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -258\/899 (b) 62 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7953199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 4)*(g + 3*g - 2*g) + (-3 + 3 - 2)*(-g + 0*g + 3*g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873175744.\nAnswer: 2, 7, 1949053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192 is divided by 592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 42*y**2 - 391*y + 48. Calculate the least common multiple of p(-28) and ((-28)\/(-6))\/((-1)\/(-60)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*t - 5*z, -7*z = t - 3*z - 6. Let w(l) = -l**3 - 24*l**2 + 54*l + 51. What is w(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136138912\/80959 - -31950\/19. Is 1 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/3 - 30*w**4 - 418*w**3 - 4334*w**2\/3 + 9960*w + 59400 = 0 for w.\nAnswer: -22, -10, -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 56*j - 245 = -3*s, -4*j - 2041*s + 2037*s = 56 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -61 - 1. Is g a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*8\/(120\/567). What is the greatest common factor of b and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 53 - (104\/(-182) + (-368)\/(-56)))\/(-1)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 595, -5, 0, -4.\nAnswer: -5, -4, 0, 595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2364 and 1572?\nAnswer: 309684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**9\/211680 + f**8\/70560 + f**5\/30 - 2*f**2. Let g(k) be the third derivative of n(k). Solve g(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 2, q: 1, k: 1}. Give prob of picking 2 r and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14755129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - 7)\/7*-5*1. Solve k + j = 3*k - 4*n, 2*k = -4*n - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h + 46. Give v(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - i + 16 = 0, 28 = -4*y + i - 3*i. List the prime factors of ((-68)\/y)\/((-8)\/(-20)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1462 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**7\/2520 + o**6\/720 - o**5\/60 - o**4\/12 + 3*o**2. Let s(a) be the second derivative of i(a). What is s(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548677 is divided by 251?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -2, 4, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4640 and 37120?\nAnswer: 37120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -2. Let w(o) = 9*o + 3. Let r(m) = 18*m + 6. Let z(q) = 3*r(q) - 5*w(q). Let y(p) = -10*p - 4. Let h(u) = t*y(u) - 5*z(u). Determine h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - 5 - (-51 + -1). Let f = y - 24. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3960 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/47521422 and 19\/36387?\nAnswer: 47521422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 4 (b) -4\/3 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108644163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -795*x**2. Let n(l) = 51572*l. Calculate n(t(r)).\nAnswer: -40999740*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 301251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -400768540 to the nearest one million.\nAnswer: -401000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -959722 by -15.\nAnswer: 959722\/15","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 + 4*g**3 - 21*g**2 + 23*g**2 - 5*g. Let v be s(4). Let j = -174 - v. Round j to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 681755, 681746, 681735, 681722, 681707?\n\"Answer: -g**2 - 6*g + 681762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/18 - 26\/117. Let z = 557.7 + -558. Sort 0, z, i, 3.5 in decreasing order.\nAnswer: 3.5, 0, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let p(y) be the third derivative of 7895*y**4\/12 + 117*y**2 + 3*y + 1. Determine p(h(t)).\nAnswer: -15790*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 g when four letters picked without replacement from gggggggggggaggggga.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwffwwddwwdwwfdwwf. Give prob of sequence dfw.\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**2 + 22774920*q - 32418561312900 = 0.\nAnswer: 2846865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 10, t: 4}. What is prob of sequence tt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.70958287 to 2 dps.\nAnswer: 6.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5254 and 568.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 367853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -163*n - 1. Let a be p(1). Suppose -5*i + 186 = -3*i. Let c = i + a. What is c rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 0.1667485?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000331086 to six dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - ((-10 - (-6 - 10)) + 6).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:46 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/140)\/(42\/(-140)*5\/(-21))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*l**2 - 3609 - 141*l**2 + 3627 to m*l**2 + u*l + i and give m.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7917 and 182.\nAnswer: 15834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, o: 4, v: 3, x: 1, f: 1}. What is prob of picking 1 x and 3 v?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + 9 + -25 + 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) -1 (c) -42 (d) 0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 5*r - 1. Let k be f(-5). Let z = k + 2. Let s = -11 - -13. Is s less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1612 - -1998. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39994*u**2 + 32 - 10 - 22.\nAnswer: 39994*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f = -254 + 83. Which is the smallest value? (a) 0 (b) f (c) -50 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l - 116. Calculate k(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 17. Let h be r(17). Suppose 2*l - 5 + 1 = h. Solve -m = l - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 258963?\nAnswer: 2\/86321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 1. Suppose -7 = 2*g - g. Let a be 4\/(-6)*(g + 4). What is c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7560838.87 minus 534986?\nAnswer: 7025852.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-1 + 0) - 1. Suppose c - 16 = 5*d. Let t be 2 + 1 + (-6 - -4). Put t, d, -2 in decreasing order.\nAnswer: t, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 - 109. Let f = d - -248. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 1, i: 2, e: 1, x: 3, m: 3}. Give prob of sequence imci.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - -0.2. Let k = p - -0.11. Let y = 0.06 - k. What is y rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 552 and 966.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5421951 is divided by 98.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1428573, 1428578, 1428581, 1428582, 1428581, 1428578, 1428573?\nAnswer: 1428566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 50442.212 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 3600?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4 + 273*p**3 - 792*p**2 - 12*p + 1056 = 0.\nAnswer: -1, 2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37243508587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(51)*-3)\/sqrt(3) - (sqrt(68) - sqrt(68)*2))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/3))\/j**(-3)*(((j\/(j\/((j\/(j**(1\/2)*j*j))\/j))*j)\/j)\/j)**(-47) assuming j is positive.\nAnswer: j**(1009\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**3\/2 + 395*x. Let y(b) = -71*b + 1. Give y(l(o)).\nAnswer: 213*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -29 (c) 1\/64 (d) -2\/5 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) 1\/5 (c) -2 (d) -5 (e) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + -2*(sqrt(7) + (sqrt(7)*2 - sqrt(7)) - sqrt(7)) + sqrt(7))**2 + -4.\nAnswer: -4*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 469942588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47356136 is divided by 15785373?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8736 and 7?\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7076*v - 136 = -7068*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -709 + 704. Let o = -1 - -1.5. Let p = o - 0. What is the third biggest value in p, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.8 >= -0.0703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-22)\/((-22)\/(-3)) + 3053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6435912 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14539 - 1?\nAnswer: -1453a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52344 and 780.\nAnswer: 3402360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*-14.\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -235367 or -235374?\nAnswer: -235367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 423381.\nAnswer: -4\/423381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 28 - 1 - 0\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/20)\/v*v)\/v)\/v*v\/v**(-27)*v**(-7\/2)\/v**(-3\/11) assuming v is positive.\nAnswer: v**(4999\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1328161*s**4 + 4*s**3 + 5791797?\nAnswer: 5312644*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0152183 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*w - 40*w**3 + 69*w + 3*w**3 - w**3 - w**3 + 2*w**3 - 1 + 1 + (-2*w - 5*w + 6*w)*(2*w**2 + 0*w**2 - w**2).\nAnswer: -38*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 173 - 859 = -45*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17548.2 + -2.39208.\nAnswer: 17545.80792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 3, h: 7}. What is prob of picking 2 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/24)\/((-2)\/(-9)). What is p in 4*p**4 - 4*p**2 + 4*p**4 - g*p**4 - p**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 15*l**3 + 8*l**2 + 38*l - 82. Let m(a) = -2*a**3 - 2*a**2 - 2*a - 1. Let w(g) = -f(g) - 7*m(g). Determine w(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334890449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8 - 44221*o**2 - 4*o + 44260*o**2.\nAnswer: 39*o**2 - 4*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369434618 to the power of 1\/3, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 10:26 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000090104 to 7 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 2. Suppose -2*z - 3 = 5*g - 5*z, 1 = z. Let t be 3\/(g + 3)*6. What is the units digit of l(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12994 - -24013. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbnb when four letters picked without replacement from nbnbnnnnbnnn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 2*s - 4. Let b be g(4). Solve -3*h = -11 + b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 670*w + 7. Let i(m) = m**2 + 2*m - 7. Let s(j) = -i(j) - o(j). Factor s(t).\nAnswer: -3*t*(t + 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t**3)*t)**(4\/7) assuming t is positive.\nAnswer: t**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6111 divided by -3.\nAnswer: -2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-4\/7)*a)*a\/(a*a\/(a\/a**(-2\/5))))\/(a**12)**30 assuming a is positive.\nAnswer: a**(-12531\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9908*h**3 - 8*h**2 + 3*h. Let w be p(5). Let u = 86315 - w. What is u rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*d = -683, -2*a = 3*a - d - 671. Let u(b) = b - 2. Let g be u(2). Let l be g\/5 - (-30)\/2. Calculate the greatest common divisor of a and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*t + 2 = 0, t - 6 = 3*g - t. Is g*(-3 - -4) - -26 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 587775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167002025 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27799429 and 15885388.\nAnswer: 111197716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6176978462 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*d + 11, 2*m + d - 2*d = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60168 = 27*o - 136*o. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31986407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**3\/3 - 3*h**2\/2 + 2*h + 6. Let l(w) = -3*w + 6. Let i be l(4). Give p(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**3\/6 - b**2\/2 - 5909*b - 2. Let v(y) = y**2 + 2*y + 2. What is 11*l(i) + 6*v(i)?\nAnswer: 6*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 10 + 2*k**2 - 12)*(-7*k**2 + 4*k**2 + k**2).\nAnswer: 8*k**4 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/152369 or -1?\nAnswer: 1\/152369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7656367700.\nAnswer: 2, 5, 571, 134087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (145\/(-5))\/(3\/(-9)) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1032 by 2.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*t, -3*t + 2*n = 4*n. Let w = t - -24. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 0*r**4 - 4*r**4)*(-2 - 426 + 51 - 144).\nAnswer: 2084*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 6*z**2 - 7*z - 2. Let r(x) = -x**3 - 6*x**2 - 8*x - 3. Let j(a) = -2*r(a) + 3*w(a). Let i be j(-5). Solve -q + 3*q = i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g + 7 = 59*g, -2*g - 7 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 9:34 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 - 2*t + 25. What is m(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3595*v**3 - 2437*v**2.\nAnswer: -21570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -46760078\nAnswer: -23380039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004325 rounded to 6 decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3394071 and 443871?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (304*r + 1131*r + 2735 - 2735)*(0*r - 4*r + 0*r).\nAnswer: -5740*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 16. Suppose 21*n = -5*n + 234. Calculate u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2 + 93555*u + 93552 = 0.\nAnswer: -31184, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2 = 3*i, -4*b + 6*b + 4 = -2*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9*z = -48. Let u = z - -10. Solve 5*m + 4*v = -24, u*m = -m - 3*v - 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 65 = g, -4*t = -4*g + 54 + 206. Is 31 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 * 0.1\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23221001 (base 5) to base 12.\nAnswer: -a1b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14176800?\nAnswer: 2, 3, 5, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 + 3*z**2 - 8*z - 5. Determine x(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 3*s + 1. Calculate the remainder when -24*119\/(-42) + (-4)\/1 is divided by y(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = -z. Suppose 0 = -z*f - 33 - 7. List the prime factors of (-26)\/f + (-1)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 481473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0.39, 3\/2, 5, -0.1, 954 in ascending order.\nAnswer: -5, -0.1, 0.39, 3\/2, 4, 5, 954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 282.9 + -283. What is the closest to r in 5, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 17 = -10. Let i be y*(0 + (-1)\/3). Solve i*w - b = -w + 21, 0 = w - 4*b - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30909 + -19973. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(80))\/sqrt(4) + 1*sqrt(2420))\/(1*-3*sqrt(1440)*-2).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 84572200*u - 447028563302500.\nAnswer: -4*(u + 10571525)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*o. Let t be (-3 + 19)\/o + -2. Suppose 3 = 3*r - t. What is the remainder when 9 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3491 = r, -5*a + 9399 = 4*r - 4565. Suppose 2029 = 23*z - r. What is the lowest common multiple of 16 and z?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 21*x + 134. Let z be m(26). Solve -4*b - 4*s = -s, -z*b + 3*s - 24 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.5, -2.45, 4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 31 = f + 2*x, -3*f + 34 = -x. Suppose -3*m + 5*u = -f, m - 3*m + 4*u + 4 = 0. Solve -2*c = 2*v, 0 = 4*v - 0*v - m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l. Let m(k) be the first derivative of -7*k**3\/3 - 4. Give m(i(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23*v**2 - 7835*v - 5109130. Let x(t) = -19*t**2 - 7834*t - 5109119. Let b(f) = 5*x(f) - 4*z(f). Factor b(o).\nAnswer: -3*(o + 1305)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 314187, 628374, 942561, 1256748, 1570935, 1885122?\n\"Answer: 314187*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -10 - (-309 + 288)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -163868 - 13?\nAnswer: -163881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 7\/3 (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:40 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 3*o - 3. Let x be p(3). Suppose 2*n - x*n = 20. Let y = n - -8. Solve k + 2 - 15 = -4*s, -3*k - y*s + 12 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4 + c**3\/6 - c. Suppose 0 = -5*v + 2*z + 38, v - 4*v + 5*z + 38 = 0. Let f be v*(-3)\/6 - -4. Determine w(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 218, -3045, 4.\nAnswer: -3045, -3, -2, 4, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*u**4 + 1\/2*u + 0 - 1\/2*u**3 + 1\/2*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -18*d. Let m(s) = -3*s**2 - 236671*s. Calculate t(m(i)).\nAnswer: 54*i**2 + 4260078*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21091?\nAnswer: 7, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 - ((-12312)\/54 - -133).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -74*f**3 - 45*f**2 - 3*f - 3. Let q(h) = 86*h**3 + 46*h**2 + 4*h + 4. Determine 3*q(l) + 4*r(l).\nAnswer: -38*l**3 - 42*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 18*w**2 - 138*w + 41. List the prime factors of a(-17).\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23229327 times 0.5?\nAnswer: -11614663.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + l = 4*l + 2, 2 = -l. Let y be (0 - -2)\/(k\/(-6)). Let i = y - -15. Calculate the least common multiple of 6 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7488)\/(-222976)*(-5)\/((-105)\/(-28)).\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i**2 + i + 1. Let w(u) = 6*u**4 - 14*u**3 - 4*u**2 + 6*u + 10. Let t(g) = 20*l(g) - 2*w(g). Factor t(z).\nAnswer: -4*z*(z - 2)*(z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3 + 388*q**2 - 890*q - 189000 = 0. Calculate q.\nAnswer: -20, 25, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -429?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:09 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 21 = -5*w, -2*w + 4 = 2*i - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/7)\/((-88)\/(-308)). Solve 10 = -5*r, 5 + 17 = s*b - 3*r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + w + 3*w)*(-4*w - 14*w - 62*w + (-5 + 4 - 1)*(0*w - w + 0*w)) in the form n*w**2 + i + o*w and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 32. Suppose 2*t - n = -5*o + 94, 3*t - 85 = -4*o. Suppose 2*c + o = -3*c. Let r(h) = h**2 + 5*h + 6. Give r(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/3 + 95*b\/3 + 440\/3.\nAnswer: 5*(b + 8)*(b + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*t - 6*u = -61*t + 2*u - 2*u - 10, -3*u = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210346046899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 155*f + 663. What is z(-4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*u**2 - 831*u + 4*u**2 + 898*u + 6 + 2334*u.\nAnswer: u**2 + 2401*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - 1\/6. Let w = 42 - 42.2. What is the nearest to w in -2\/9, l, -3\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Let f(l) = -v*l - l + l. Let q(n) = 2*n**2 + 6*n - 6*n. Calculate f(q(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1288 divided by 56?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 - -149. Let r = -0.04 + 0.24. What is the biggest value in -0.04, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21010001100 - 0?\nAnswer: -21010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a factor of 4250532913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1108 or 1086?\nAnswer: 1086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, x: 1, z: 3, d: 4}. Give prob of picking 1 d and 1 q.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/24 + b**5\/30 - b**3\/6 + b**2. What is the remainder when 23 is divided by n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + 39)\/((-4)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = -87 + 27 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -20*t + 1 + 150*t**2 - 55*t**2 + 15*t. Let h(q) = 3*q**2 + q + 1. Let y be h(-1). Is g(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6\/(-15)*-3*(5 - 0) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 - 3*x**2 + 7*x\/2.\nAnswer: -x*(x - 1)*(x + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 7 = 29*b - 32. Let p(y) = -3*y**3 + 3*y - 2. Let m(j) = j - 1. Determine b*m(d) - p(d).\nAnswer: 3*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1209 divided by 108914\nAnswer: -93\/8378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 69245*o + 276817. Calculate j(-4).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bblllaall. What is prob of sequence lb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9659 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/(-200))\/(630\/420)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnxn. What is prob of picking 1 x and 1 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 130*a - 1. Give i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*p + 2*r = 90*p + 4 + 19, 2*p + 63*r - 223 = -0 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + -16893?\nAnswer: -16879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21885066 a multiple of 919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*h + 327*h + 19 + 1 = 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -0.34272.\nAnswer: 0.65728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -183 and 5271.\nAnswer: 5088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - -901. List the prime factors of q.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7048 - -7047.7. Let x = -0.05 - 3.95. Which is the third biggest value? (a) -13 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o*o\/o**(-6))*o*o)\/o**(-3\/4))**5 assuming o is positive.\nAnswer: o**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8972 is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 9*y**2 - 11*y - 15. Let g be o(7). Suppose 14*a + 1400 = g*a. Let l = a + 380. What are the prime factors of l?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 2*j - 2*b, -3*j - 5*b = 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 144 = 4*c. Let s = 48 - c. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 870 = 3*n, n + 338 = 5*m - 1100. What is the highest common factor of m and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = y + 92, 0 = -18*i + 15*i + 1 + 44 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 4. Let o = 83 + -89. Calculate d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 - 25*k**2 + 15*k + 45. Let f(q) = -8*q**3 + 75*q**2 - 45*q - 135. Let m(b) = -2*f(b) - 7*o(b). Determine s so that m(s) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 2. Let v(m) = 5*m**2 - 11. Let r(l) = -2*v(l) + 11*x(l). Let c(t) = -59*t**2. Give r(c(w)).\nAnswer: 3481*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24448.32592 rounded to 0 dps?\nAnswer: 24448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224591.\nAnswer: 224591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h**2 - 25*h**2 - 26*h**2 - 5*h**2. Let i(c) be the second derivative of -c**3\/3 + 3*c. What is i(z(b))?\nAnswer: 74*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (1*sqrt(1900) + 3)**2) + 4.\nAnswer: -1905 - 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 - 1529*w + 1523*w + 20 + 12*w**3 - 22 + w**2 as u*w + t*w**2 + v + l*w**4 + x*w**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + -1 + -3 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14*z**2 - 7838*z + 1106. Give i(-560).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 4*r + 2*x, 5*x - 3*x - 265 = -3*r. What is the remainder when r is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 + (19 - (-8 - -6)) + (-7 - (23 - 24)).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15155 divided by 287.\nAnswer: -2165\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18497366*j + 15350157?\nAnswer: -18497366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/72)\/((-23)\/920).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Suppose 2*m = -1 + 5. Let d(n) = -15 + 10 + 8. Give m*j(w) + d(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**3 + 9*f**2 + 28*f + 1. Determine x(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 37.5. Sort m, -3\/2, 1.\nAnswer: -3\/2, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*s**2 + 23*s**2 + 40*s**3 + (-4*s**2 + 3*s**2 + 2*s**2 + (-1 + 6 - 4)*(4 - 4 + s**2) + 6*s**2 - 4*s**2 + 6*s**2)*(8*s + 8*s - 3*s).\nAnswer: 170*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -15*z**2. Let c(m) = 3*m**2 - 49. Give d(c(a)).\nAnswer: -135*a**4 + 4410*a**2 - 36015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.06 + -1.09. Sort 3, b, 2 in increasing order.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263443.5 months in decades?\nAnswer: 2195.3625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-8)*(-372)\/155. Solve -2*f - n*w + 8 = -7*w, -5*f - 36 = 4*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 1\/9, 6356, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31834495 times 0.2\nAnswer: -6366899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 4*u**2 - 12*u - 26. Determine g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 18*z**2 + 1 + ((z + 2*z - z)*(4*z + z + z) - z**2 + 2 - 2)*(6 + 2 + 0).\nAnswer: 70*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**8\/420 + t**4\/8 - t**3\/2 - t**2. Let v(m) be the first derivative of o(m). What is the derivative of v(y) wrt y?\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -2. Let v be w\/4 - (-146625)\/92. Let b = v - 681. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16353557 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/4)*g)\/g)\/(((g*g**(-2\/31)*g)\/g)\/g))\/((g*g\/(g*g**(-10))*g*g)\/g**(-4)) assuming g is positive.\nAnswer: g**(-2131\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, c: 1, x: 1, p: 4}. What is prob of picking 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 4:52 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 144 = -142. What is the lowest common multiple of 6 and b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 1238*a = -1233*a - 44, 24 = -2*w + 3*a for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -14. Let d be (-172)\/l - (-4)\/6. Let n be (-48)\/d - (-2)\/7. Solve n*i - 12 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:30 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101100111101001000 - 11?\nAnswer: -11100101100111101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 520 and 16.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 108, 83, 42, -15, -88, -177, -282?\n\"Answer: -8*r**2 - r + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115 + 114 - 18*x**2 + 111 - 348 to t*x**2 + r*x + s and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391752 (base 12) to base 2.\nAnswer: 11100100011111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*o**2*p*u**2 + 73*h*o**2*p + h*o**2*u + 2*h*o*p - h*p*u + h*u**2 - 4*o*u**2 + 4*p wrt o.\nAnswer: 4*h*p*u**2 + 146*h*p + 2*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-11*6)\/(48\/(-2472))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.919726 rounded to 0 dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4749650*a**3 - 1468448?\nAnswer: -14248950*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-2)\/6 + 3). Let b = c + 11. Solve 0 = b*g + 6, -4*g = 2*f + g + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-391851)\/(-21) + (-80)\/(-56) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 - -0.14. Let l = h + 0.09. Sort l, -2, 1.\nAnswer: -2, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u + 144 = 0. Let i(j) = -11*j**3 - 6*j**2 + 7*j + 27. Calculate the remainder when u is divided by i(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66979260 by 1116321.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63462462 minus 5?\nAnswer: 63462457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + k. Suppose -4*r = 2*r. Let w be p(r). Solve -d + 0 + 4 = w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104 divided by 1276?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4659*c = 6104 - 1445 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g + 2*g**2)*((-4 + 5 - 3)*(0 + 5 - 3) - 3 + 8 + 2 + 1 + 0 - 2).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 319384530 to the nearest integer?\nAnswer: 17871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 23 + -30 - (-55 - -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15969 is divided by 5266?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-88)\/66)\/((-30)\/(-21)*7).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88526952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -27, -34, -45, -60, -79, -102?\n\"Answer: -2*c**2 + 3*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/284441 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -493 - -493. Suppose c = 39*j + 9*j - 52608. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x + 1205. Give p(62).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -155, -369, -673?\n\"Answer: -45*m**2 + 11*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13361411071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -829*t. Let f(h) = -32047*h. What is c(f(m))?\nAnswer: 26566963*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 3, -0.42, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432 (base 5) in base 3?\nAnswer: 200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 523293 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*j + 18 = b + 296*j, -1988 = -330*b + 2*j for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5820606 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 373\/3 + -126. Let o = 133 - 126.1. Let l = o - 7. Which is the closest to l? (a) -3 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1128 and 1954072?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:18 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1554735 and -1.6.\nAnswer: 2487576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 18*u**5\/5 + 238*u**4\/5 + 1006*u**3\/5 + 298*u**2 + 824*u\/5 + 24 = 0.\nAnswer: -6, -5, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -16.\nAnswer: 33\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/7 + (6 - 301\/49).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1\/1)\/(24\/(-72))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1023*u**3 - 12*u**2 + 5*u + 6. Let b(q) = -2044*q**3 - 22*q**2 + 9*q + 11. Give 6*b(n) - 11*w(n).\nAnswer: -1011*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 6*n + 7*n + 5*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 15 - 17 - -6 - (-1 - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5 - 151*d**4 + 5467*d**3 + 17787*d**2 = 0. What is d?\nAnswer: -3, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -247 (base 16) to base 12.\nAnswer: -407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57059713, 57059718, 57059725, 57059734, 57059745, 57059758, 57059773?\n\"Answer: n**2 + 2*n + 57059710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 17 = -2*d. What is the remainder when 24 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b50a + 5?\nAnswer: -3b505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) - (1 - 21). Let j = 6 - 10. Let f be (-2)\/j*(-1 - -191). Calculate the highest common divisor of g and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 - 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmq when three letters picked without replacement from lzllhhhlhqmhhlh.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**3 - 5. Suppose -3*b = -12, -4*b = -2*p + b - 12. Suppose y - 3*o - 16 = 0, 5*o + 2 + 2 = -p*y. Is w(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*p + 10*p + 1 - 7*p)*(-p**2 - 4*p**2 + 4*p**2)*(2 + 5 - 6).\nAnswer: 15*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - o - 8 + 2*o**2 - 10 - o - 8 to m*o + p*o**3 + z*o**2 + c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588 is divided by 182.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*g - 19 = 0, 39*g - 8*g - 28*g - 32 = 4*s - 3 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18*(-2070)\/621?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2. Let k(v) = -1178342*v. Give x(k(q)).\nAnswer: 1388489868964*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2 + (2 - 7 + 2)*(3 + 1 + 6))*(q + 0*q + q).\nAnswer: -64*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + 3 + -14 + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let t be a(-6). Suppose -y + 4 = -5*y. Let x = 3 + y. Solve 0*m = -x*m - t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1130166 - -3?\nAnswer: -1130163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 - -49. Let a be 2\/(-2) - d - -2. Suppose 3*k + k - a = 0. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*(-3)\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -566066, -1132704, -1699342, -2265980, -2832618?\n\"Answer: -566638*n + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12*s**2 + s - 10*s + s**3 + 4*s**2. Let v be y(9). Suppose 2*b - 56 - 14 = v. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12222 - 12241. Which is the nearest to -2\/9? (a) 5 (b) -1\/4 (c) z (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -3) + (-60)\/(-5) + -4. Let v = s + -3. Is (-1 - v - 7696\/32)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 180, 117, 4, -165, -396, -695, -1068?\n\"Answer: -s**3 - 19*s**2 + s + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66377099.\nAnswer: 101, 293, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.94699907 to one dp.\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*w**2 + 385*w**2 - 143*w**2 - 5*w)*(3*w**2 - 4*w**2 + 0*w**2).\nAnswer: -113*w**4 + 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30124341 or 30124340?\nAnswer: 30124340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -0.08 (b) -2 (c) 6 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24425.75 grams to nanograms.\nAnswer: 24425750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(384))\/(sqrt(12) - -1*sqrt(1452))*-6.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*a + 52*a**2 - 8*a - 13*a)*(-1 - a + 1).\nAnswer: -52*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96775 by 19355.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-16) + (21 - (-4152)\/(-192)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6702 - -1752.7?\nAnswer: 8454.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-30)*u*u**(3\/4)\/u*(u*u**(-17))\/u**(-11) assuming u is positive.\nAnswer: u**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4805 + 0.7805. Which is the smallest value? (a) -0.3 (b) g (c) 2\/75 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(165\/(-44)))\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 8848047\nAnswer: -8848045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 - 2 = 0. Let y = 1.1 - -0.1. Let l = -0.8 + y. Put 4, l, c in ascending order.\nAnswer: l, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000098884 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -71 (b) 1 (c) -3\/46297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336089 (base 11) to base 9.\nAnswer: 1005081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -16. Calculate the lowest common multiple of -6 + 112\/7 + 6 and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*n**4 - 351533*n - 38330100 wrt n?\nAnswer: 236*n**3 - 351533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/11*((-105)\/(-42) - (-3)\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 6*d**2 - 261*d - 1076. Let i be y(-4). Solve -1\/6*o**2 - 2\/3*o + i = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 - -10020023?\nAnswer: 10020232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1361*o = -1360*o - 1299. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -1440926?\nAnswer: -144092a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -30*s**3 - 69*s**2 - 144*s - 60. Let n(o) = 31*o**3 + 70*o**2 + 145*o + 72. Let b(h) = -5*n(h) - 6*z(h). Find the second derivative of b(w) wrt w.\nAnswer: 150*w + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from cggcghchqcgcgcghccqg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 1 + 41 = 0. Suppose -398 = -x*i - 2*d, 5*i - 4*d + 20 = 537. Suppose -3 = -4*h + 29. Calculate the remainder when i is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394, -3088, -10390, -24598, -48010?\nAnswer: -82924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0*s**3 - 1\/12*s**4 - s + 0*s**2 + 0. Let u(r) = -23*r**2 - 1 + 27*r**2 + 1. Give u(f(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -2*t**5\/5 + 3*t + 2. Differentiate w(z) wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25110?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-12)*(226\/4 - -2)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/13? (a) -4 (b) 2\/63 (c) 2.463 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -505, -488, -457, -406, -329, -220?\n\"Answer: j**3 + j**2 + 7*j - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 4*g. Suppose -p = g*p - 20. Solve 4*l - 21 = p*c, l + 21 = -3*c + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13738418891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1\/6, -2\/11, 32.\nAnswer: -3, -2\/11, 0, 1\/6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20357 - -20356.9. What is the nearest to 0 in y, 3, 9\/2, -23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2899 divided by -2987.\nAnswer: 2899\/2987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 1. Let h be u(3). Let q be 406\/12 - 3\/(-18). Let s(c) = -3*c - 34 + 66 - q - 2*c**2. Determine s(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -158, -342, -578, -854, -1158?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r\/r**(-1\/2))\/r)*r)**36\/(r**(1\/4))**(-14)*(r**(-3)\/(r**(-1\/8)*r*r))\/((r*(r*r*r\/r**(-4\/9))\/r*r)\/r**(2\/11)) assuming r is positive.\nAnswer: r**(9791\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/((-70)\/(-6)))\/(80\/(-70)). What is the closest to -0.1 in -0.4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -3. Let l be (0\/(-1))\/(-5)*(-2)\/(-2). Suppose -a*m + 2 + 4 = l. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 63*g. Let o(f) = -3*f - 25. Determine q(o(i)).\nAnswer: -189*i - 1575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -146498826 and -429?\nAnswer: 146498397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32*-4088.4\nAnswer: 130828.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 2*q - 2. Let y be b(3). What is the greatest common factor of y and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6946920.\nAnswer: 2, 3, 5, 23, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-5)*(14 + -4). What is the highest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281661631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -87.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1, -0.2, 1\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + -1) + sqrt(2) + sqrt(2) + sqrt(2) + (sqrt(10) + -1*sqrt(10))\/sqrt(5).\nAnswer: -sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 495950\/3 + -165306. Determine y, given that -s + 64\/3*y - 14\/3*y**2 = 0.\nAnswer: 4\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246*d - 138*d + 78*d)*(-1 + 1 - 2*d)*(4 - 1 - 4) + (3*d**2 + 3*d**2 - 3*d**2)*(-1 - 4 + 4) - 3 + 3 - d**2.\nAnswer: -616*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o - o + 5*o - 51*o - 59*o + 84*o + (1 - 1 + 2*o)*(2 - 4 + 1) as k*o + j and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 415530 and -4.\nAnswer: -1662120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(-42))\/k)**(-5\/3)*(k**33)**1 assuming k is positive.\nAnswer: k**(304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -2\/3*t + 1\/3*t**3 - 1\/12*t**4 + 1\/6*t**2 + 23 - 1\/15*t**5. Factor b(p).\nAnswer: -(p - 1)**2*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(12\/(-3))*((-9440)\/(-16))\/(-10).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -9 + 20 + -6. Suppose -3*q - 58 = -x*q - 5*y, 0 = -2*q - 3*y + 50. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50419 is divided by 315?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4356)\/(-264)*(3 - (-33)\/(-9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine halves of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67810425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d2f45 - -b?\nAnswer: 8d2f50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -130506 divided by 55?\nAnswer: -130506\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -130*s**3 + s**2 + 23*s + 56. List the prime factors of n(-3).\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1186a - ba51?\nAnswer: 1a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3885102 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 6*h**2 - 4*h + 1 + h.\nAnswer: -6*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -52. Solve 2*n + h = -3*r + 5*n, n - 5 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*k - 4*k + k)*(2 - 2 + k + (3*k + 0*k - 4*k)*(-1 + 4 - 1) - 4*k - k + 3*k - 3*k - 2 + 2) to the form q + l*k**2 + a*k and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 3, w: 3, u: 10}. What is prob of sequence wc?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s + 2 = 0, 5*s + 426 = 4*y. Let b(t) = 72*t - y*t + 53*t. Let j(h) = h**2 - 2 + 2. Determine j(b(v)).\nAnswer: 441*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-2 + (5 - -2))) + 57 + -24 + -18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3. Let z(p) = -p**2 - 4*p - 1. Let b be z(j). Let h be b\/(-4) - 2119998\/4. What is h rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9638*r**5 - 11311*r**2 wrt r.\nAnswer: -578280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*2 + 4 - (2*(-4*sqrt(637) - sqrt(637)))**2.\nAnswer: -63696 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.232 + -0.282. Which is the third smallest value? (a) 1.6 (b) -5 (c) s (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 2\/19 (b) 465 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 2. Suppose 0 = -2*i + 4*i + 3*y + 4, 2*y = i - 12. Let o be v(i). Let w = -3 - o. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3948*h**6 - 26575*h**4 - 15*h**2 + 4677932?\nAnswer: 473760*h**3 - 637800*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 251 = 41. List the prime factors of (-70 + 0)*63\/k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1298 - -2000618.\nAnswer: 2001916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51119531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s - 4*s - 7*s + 3*s + 4*s. Let l(j) = -313*j. Give l(b(n)).\nAnswer: -313*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 - (4 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5*(-12)\/(-32) - -3 and 15\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2. Let r(h) = 14*h**2 - 27755*h. Give r(p(d)).\nAnswer: 224*d**4 - 111020*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 37*s**2 + 698*s - 111. What is the remainder when o(-22) is divided by 164?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.070027116 minus -2?\nAnswer: 10.070027116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109 and 3161?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35254*k - 11735*k - 11767*k - 11737*k.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*f**2 - 30*f**2 + 4*f + 239 - 239 + 136*f**2 to the form c + l*f + a*f**2 and give a.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3056*u = 2726*u - 3630 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 42, 0.3 in descending order.\nAnswer: 42, 36, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 55*s**4\/2 + 3*s**2 - 13*s + 11. Is j(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**4\/4 + b**3\/3 - b**2\/2 + 6*b - 1. Let o be 2*(75\/(-42) + (-70)\/(-245)). Give m(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 957 = -1128 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 36\/1289 (b) -1.4 (c) -14 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46.548 + 0.452. Let o = c + -49.4. Sort 0.2, 0.4, o, -1 in increasing order.\nAnswer: o, -1, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.7 in -13, -1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 0*v + 0*v**3 + 1\/6*v**4 + 3 + 0*v**2 - 1\/18*v**6 + 1\/15*v**5. Determine s, given that z(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340005140 (base 6) to base 16\nAnswer: 5dfd74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 divided by 6?\nAnswer: 807\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 - -149. What is the remainder when 131 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppq when three letters picked without replacement from {p: 7, a: 4, q: 6}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7278817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2302 - -21?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 25*y**2 + 29*y + 74. What is the tens digit of c(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**4 + p + p**4 - p**2 + 3*p**2 + p as a*p**2 + d + h*p**3 + y*p**4 + u*p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44598679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 22*v**3 + 4*v**2 + 16*v. Let k(q) = -42*q**3 - 10*q**2 - 33*q. Determine 2*k(g) + 5*l(g).\nAnswer: 26*g**3 + 14*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 30. Suppose 2*n + 204 = m*n. Let b = -34 + n. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 789 and 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*j + 26*j - 28 - 2*j)*(-3 + 3 - 1) + 2*j + 1 - 1 as a*j + h and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52700 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 3 - (0 + -1). Suppose -s + 4 = m + w, -4*s - 2*m = -10. Find the common denominator of -101\/2 and s*(68\/15)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8339 and 140895.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (1740\/44)\/(-5)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8487 + 9019. Calculate the highest common divisor of m and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**3*y**2 + 2*p**3*y + 69127143*p**3 - 4402*p**2*y**2 + 2*p**2 + 541*p*y**2 + 5*y**2 wrt p?\nAnswer: 24*y**2 + 12*y + 414762858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 3*j**2 - j + 3. Let g be v(-3). Suppose -22 = -2*m - 4*r, 4*r = -2*m + 5*r + 7. Solve -w + m = -g*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 - 4. Let n(z) be the second derivative of 11*z**3\/2 + 53*z. Determine p(n(f)).\nAnswer: -1089*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2 + sqrt(20)\/sqrt(4) - sqrt(80)) + (5 + -1 + sqrt(5) - (sqrt(45)*-2)**2)).\nAnswer: 12*sqrt(5) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 11*v**4\/12 + 7*v**2. Let w(j) = 2*j. What is p(w(y))?\nAnswer: 44*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 1:34 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 187423\nAnswer: -2998768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 7*s. Let a be y(8). Let l(q) = -2*q. Let c(b) = -5*b. What is a*l(z) - 3*c(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 + -504. Let o(c) = -2*c**3 - 54*c**2 + 59*c - 34. Let g be o(-28). Let q = g - b. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*s - 9*s + 960 = 0, -3*w + 600 = -5*s. What is the least common multiple of w and 351?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-14))\/((-4)\/24). Suppose -3 = -k + 4*k. Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -88, -262, -596, -1144, -1960, -3098, -4612?\n\"Answer: -9*n**3 + n**2 - 8*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 + 338236*s**2\/7 + 2029344*s\/7.\nAnswer: 2*s*(s + 6)*(s + 169112)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**2 + 3*w - 281. What is the tens digit of a(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxuxuxuuuukxk. What is prob of picking 2 u?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142000720?\nAnswer: 2, 5, 1775009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: a159 (base 16) to base 6\nAnswer: 515121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.19, -1, -2\/3 in increasing order.\nAnswer: -1, -2\/3, 2\/13, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 31*i + 170 = -19*i - 61 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 60 = -2*j - 17, -2*j + 4 = 0. Let c(k) = -k**2 - 8*k. Let z be c(-8). Suppose n + 0*n - 14 = z. Calculate the remainder when i is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n**2 + 15*n - 13. Let r(q) = -7*q**2 - 7*q + 6. Let j(v) = 13*r(v) + 6*w(v). Let m = 55 + -58. What is j(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11033 divided by -6\nAnswer: 11033\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.23 - -11.43. Which is the fourth smallest value? (a) 2 (b) t (c) 0.1 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74647 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21937 equal to -223\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 9*u + 10. Let a(l) = 2*l - 15. Let o be a(10). Suppose -3*i + 4*s = -38 + 1, -o*s = i + 13. What are the prime factors of t(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 291*y - 2837. Determine n(-135).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddxdddxdxhxhxdx. Give prob of picking 2 d and 2 h.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -19 + 31 + (-2 - -3). Let x(b) = -236 - d*b + 470 - 234. Let i(c) = 11*c**2. What is i(x(o))?\nAnswer: 1859*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5*2\/(-6)*2*45?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y + 19*y - 8*y in the form o + p*y and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134 - -191. Calculate the remainder when b is divided by (-110*(-24)\/540)\/(2\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 751344 and 1152.\nAnswer: 18032256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 + p - 57. Give g(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -101?\nAnswer: 11.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/21*21 - 3406\/(-494). Suppose 0*z = 3*z - x + 1, 5*z + 2*x = -9. Let u be (-12)\/7 - (z + -1). Which is the closest to u? (a) o (b) 0 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24321\/15 + 2\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3222 = -146*v - 2562 - 2246 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j - 122. Suppose 0 = -9*o + 6*o + 258. What is the remainder when o is divided by g(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32\/128 + 30\/195 + 314\/(-520)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca - -5?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 8*x**2 - 10*x + 21. Let g be i(7). Let l be -1 + g + -1 + (-72)\/18. What are the prime factors of 3\/1*(61 - l)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 8:23 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/495 and -28\/5.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -106*l**2 - 295*l**3 + 149*l**3 + 596*l + 150*l**3 - 198*l**2 - 296 = 0.\nAnswer: 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-4)\/6*3). Solve 5*j + k - 11 = 0, 4*j + 3*k = -f*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -308\/3005 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -391a62 - 1?\nAnswer: -391a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3647 + -3652. Put 3, -8, r, -11 in decreasing order.\nAnswer: 3, r, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -181 - -184. What is the smallest common multiple of 171 and m?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348497707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m**2 - 31*m + 15. Let p be a(-4). Let z(u) = u**3 + 21*u**2 - 21*u + 22. Let g be z(-22). Sort 2, p, g in ascending order.\nAnswer: p, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1455 - 1464 = 6*b - 2887, 0 = -2*y - 20 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-53 - -55)*(1 - -8). What is the second biggest value in -2\/13, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/9)*h**(3\/4))\/(h*h*h**(2\/5))**(-3\/25)*(h**(-2\/3))**32\/(h\/(h\/(h*h**(-2\/7)))*h)**12 assuming h is positive.\nAnswer: h**(-1290803\/31500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by 1538.\nAnswer: -150\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 569772*w**2 + 20290293132*w - 20289723364.\nAnswer: 4*(w - 71221)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1501 + -1500.6. What is the closest to -1 in -1, 3.5, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127627842591.6633 + 2?\nAnswer: 127627842593.6633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1744232*h**4 + 3*h**3 + 2052061*h**2 + h + 1 wrt h?\nAnswer: 41861568*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 55*s**3 - 6443880*s**2 - 9958825*s - 3514890 = 0.\nAnswer: -1, -6\/11, 117163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = w + 51 + 31, -h + w = -42. Calculate the greatest common factor of h and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 81 = s - 7*i, 2*s + 2*i - 194 = 0. Let n = -135 + s. Let t be ((-224)\/n)\/((-2)\/(-15)). What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -4. Let r(k) = -11*k**3 + k**2 + 5*k - 8. Let v(n) = -4*n**3 + 2*n - 3. Suppose 0 = -280*u - 956*u + 9888. Give d*r(z) + u*v(z).\nAnswer: z**3 - 3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0 - 23\/12*i**4 - 53\/6*i**3 + 2*i + 19*i**2. What is the derivative of w(b) wrt b?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-22)\/66)\/((-1)\/(-18)). Let b(s) = -26*s - 28. Does 32 divide b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8681 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*o**4 - 239*o wrt o?\nAnswer: 2088*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 312. Let l(m) = 2*m. Give l(a(y)).\nAnswer: 2*y**2 + 624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Suppose -9 = -2*v + 5*v. Let h be (-3 - (2 + v))\/(-1). Let o(z) = -11*z**2 + z**h + z**2. What is o(u(y))?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 177052 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/390 + 7*p**4\/39 + 255*p**3\/13 + 18*p**2 - 6*p + 1. Factor z(w).\nAnswer: -2*(w - 45)*(w + 17)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-3\/4)*o*o**(-4)\/o*((o*o*(o*o*o\/o**(-4))\/o*o*o)\/o)\/(o*o**7*o) assuming o is positive.\nAnswer: o**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/10 - d**4\/3 - d**3\/3 + d**2 + 90*d. Give c(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/75*80475\/(-19314)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/((-1782)\/(-43956)).\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/42 and -38\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**4*w\/w**(-3\/4))\/(w**(5\/4))**(-9\/2) assuming w is positive.\nAnswer: w**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*y = -188*y + 382*y - 2*o + 87, -3*y + 2*o = 99 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3047448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 10*a - 49 = -2*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t + 20 = -5*g, 0 = -3*g + 2*t - 17. Let k = 11 + g. Calculate the least common multiple of k and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Let u = -11 - -15. Suppose p*h = -u*h. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.5 - -10. Let d = -0.36 - 0.04. Which is the nearest to 1\/4? (a) r (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 16\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + o - 57, 0 = 2*b - 5*b + o + 57. What is the second derivative of -4 + 16*q**5 + 4 - 5*q + b*q wrt q?\nAnswer: 320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -178 + 336 + c - 175. Let d be n(13). What are the prime factors of (d - -195)\/(-2 + 3)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -73 (b) -3 (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516596?\nAnswer: 2, 3, 47, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*a - 37*a + 76*a)*(-140*a + 140*a - 11*a**4).\nAnswer: -154*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -7*a**4\/4 + 2*a**3 + 3*a**2 + 4*a + 334. What is the units digit of q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144 is divided by 297.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/19 (b) 57 (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 9*o)*(-9 + 9 - o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4068 * 89716\nAnswer: 364964688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3545752514 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 2*m + 2. Calculate the remainder when 12 is divided by c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173*u - 77*u - 4713*u**6 + 2*u**2 + 26*u wrt u.\nAnswer: -565560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0303268 to four dps.\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -165.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 78 - 1239650*p.\nAnswer: -1239650*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.146 + 364.854. Let o = z + -421.4. Round o to zero decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and -0.4086?\nAnswer: -8.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -167*a**7\/35 - 191*a**4\/8 - 138*a**2 - 2*a. What is the second derivative of k(t) wrt t?\nAnswer: -12024*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414, -372, -328, -282?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 + 6*s. Let q be k(6). Suppose -5*d + 49 = 4*g, q*g + d = g - 1. Solve -2 - g = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13616 divided by -1702?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -351.4 times -47243?\nAnswer: 16601190.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k - 2*k + 1 + 37*k + 50*k to the form n*k + t and give n.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:30 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2442, -4660, -6878, -9096?\nAnswer: -11314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 6) + 0 + 6. Let t(a) = -a**2 + 7*a - 1. Let u be t(p). Put u, 2, -2 in descending order.\nAnswer: u, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 19*i - 8*x + 211 = 0, 3*i + 12 = x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 - h**2 - 111*h + 129*h - 3*h.\nAnswer: -7*h**3 - h**2 + 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 329008921, 658017843, 987026765, 1316035687?\n\"Answer: 329008922*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, -1, -1170 in descending order.\nAnswer: 5, 3, -1, -2, -1170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 32 = -4*h. Let i = 298 + 62. Let l = 364 - i. Solve 0 = -3*o - o + 4*y + 28, l*o = -2*y + h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2 + 3*s - 11. Give l(-6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -100, -340, -580, -820, -1060?\n\"Answer: -240*u + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19 - 1248\/(-66))\/(3\/6). What is the closest to 18 in -4, 8, g?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 218\/3 - 73. Is -1 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29535 is divided by 5897?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:33 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4611300 rounded to the nearest 10000?\nAnswer: -4610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**3 + 20*p**3 + 0*p**3)*(-15*p + 1 - 8*p + 0*p) in the form a*p**4 + j*p + g*p**2 + s*p**3 + b and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -564, -845?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-63) + (-2)\/(-9) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {f: 2, e: 18}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (0 - (-4 - -10)) + (6 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - (145 + -54)) + 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260970 is divided by 685?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, 7, 5, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c9466 - -1?\nAnswer: c9467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(65))\/sqrt(5))**2 + -4*sqrt(208).\nAnswer: -16*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 1\/3 (b) -15.737 (c) -4 (d) -1\/2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 3, c: 8, d: 1, w: 6}. What is prob of picking 1 d and 1 k?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*t**2 - 435*t**2 + 12*t - 12*t to x*t + k + r*t**2 and give r.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - 13. Let o = c + 119. Solve -2*m + 5*u + o = 0, 2*m + 11 + 19 = -4*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/96 and 75\/512.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-10 - -11 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 4*c + 2. Let w be j(4). Let l(g) = -w + 66 - 3*g. Let z(m) be the second derivative of -11*m**3\/6 - 5*m. Determine z(l(k)).\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 5*m + 10. What is the smallest value in m, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -25 (c) -2\/15 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 351216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**3 - t - 2*t**2 + 499*t**4 - 497*t**4 - 1 - 5*t**3 to x*t**2 + f*t + i*t**4 + n + r*t**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62396, -62501, -62604, -62705, -62804, -62901, -62996?\nAnswer: -63089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 16*f + 41. Let s(c) = 3*c + 8. Let a be ((-4)\/(-3))\/(6\/18 - (-2)\/6). Determine a*m(z) - 11*s(z).\nAnswer: 2*z**3 - z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:07 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 - -533?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2800)*-2 - sqrt(2800)) - 4*(sqrt(175) + -2 + (sqrt(175) - sqrt(175)*-2)).\nAnswer: -260*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**4\/24 - s**3\/3 - s**2\/2 + 1. Let f(d) be the second derivative of i(d). What are the prime factors of f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjz when four letters picked without replacement from {j: 17, z: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + 19*x + 5. Suppose -5*i + 54 - 9 = 0. Let v be t(i). Let h = -652 - -778. What is the greatest common factor of h and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 220994430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u + u)*(2*u + 2*u - 6*u) - 2*u**2 - 2 + 2 - 10*u + 2*u**2 + 10*u + (-2*u**2 + 5*u**2 - u**2)*(-1 + 3 - 3) - 2*u**2 - 3*u + 3*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2611*q - 9779. List the prime factors of o(-14).\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -136008 and 0.436.\nAnswer: -136007.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21 + -18)\/(6\/4). Suppose 3*k - 15 = 3*t, g*k - 3*t + 2 = 11. Suppose k*z - 276 = -90. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*5*22\/(-605)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/402 (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**7\/7 - 3*c**6\/4 + 93*c**5\/80 - c**4\/8 - 9*c**3\/8 + 3*c**2\/4 - 19*c. Let a(k) = 0. What is k?\nAnswer: -1\/2, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 169, 427, 793, 1267, 1849, 2539?\n\"Answer: 54*p**2 - 12*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 2*j**2 + 0*j**2 + 6*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/12 + 175*c**4\/18 + 6125*c**3\/18 - 498*c. Factor n(f).\nAnswer: 5*f*(f + 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 5*p**2 + 5*p - 4. Let w(b) = -b**3 + b**2 + b - 1. Let y(c) = -s(c) + 4*w(c). Let n be y(-1). Solve j = -4 + 1, 0 = -i + n*j + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -1\/3, 0.7, 6083?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 5. Let j(w) = 2. Let c(d) = 2*h(d) - 5*j(d). Let y be -6*(7\/2 + -4). Give c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*y - 16 = -q, 0 = -5*y - 25. Let g(s) be the third derivative of s**5\/60 - s**3\/2 - 2*s**2. Let k be g(0). Which is bigger: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3936353.1 rounded to the nearest ten thousand?\nAnswer: 3940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 4*c + 87. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddeddddddd. What is prob of sequence ed?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71.5, 0.3, -0.4, -2, -3\/28 in increasing order.\nAnswer: -2, -0.4, -3\/28, 0.3, 71.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 2*l**2 + 4*l**2)*(3 + l - 3) - 21*l**3 + 8 - 8 - 4*l**3 + 3*l**3 + 7*l**3.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362038.\nAnswer: 2, 3, 7, 56239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - -8.6. Let v = -5 - z. Let u = v - -13. Which is the biggest value? (a) -0.2 (b) u (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g + 1 = 0. Suppose 7 + g = -4*r. Let d = 0 + r. Sort 1, d, -4 in descending order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 3:08 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2517*m**2 + 25*m - 50. Let b be t(-10). What is b rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000044184258 rounded to 7 decimal places?\nAnswer: 0.0000442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*-3*(-1)\/9. Suppose 0 = n, 3*d - 3*n = -2*d + 255. Calculate the remainder when d is divided by (q\/(-2))\/((-3)\/(-78)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 29*j + 43. Let z(w) = 44*w + 60. Let t(h) = 7*n(h) - 5*z(h). Give t(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/39 - 97\/156. Let r = 200 - 179. Suppose -2*h - r = -15. Which is the smallest value? (a) -1 (b) -1\/2 (c) p (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + v**2 + 4)*(6 - 7*v**3 - 6) + 27*v**5 - v**3 - 2 + 12702*v - 12702*v.\nAnswer: 20*v**5 - v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393 - 131 = -109*h + 675 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279781578?\nAnswer: 2, 3, 103, 150907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/((-2)\/6). Let d(a) = 78*a**2 + 1. Is d(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h**3 + h**3 + 5*h**3)*((88*h - 113*h - 219*h)*(0 - 4 + 3)*(0 + 1 - 4) - 3 + 3 + h).\nAnswer: -11696*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 4*d + 15, -7*s - 3*s = -5*d + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16963740 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -z - 2*x, -4*z + 7 - 44 = -5*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.0796 in 2\/149, -0.16, -4\/9?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 456*a - 461*a + 8*w - 102, -2*a - 6*w = -68 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2 - -8 - (-1 + 2)) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1195801 * 0.8.\nAnswer: 0.09566408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(13\/7)\/((g*g**1)\/g)**(-1\/22) assuming g is positive.\nAnswer: g**(157\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z + 5. Let l = 7 + z. Suppose v = -5*f + 27, -l*f + 2*v + 8 = v. Solve 0 = -4*w + h - 3 + 22, f*w - 5 = -5*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 - 1. Let o be k(2). Suppose -o*f = -4*f - 2*y - 18, -3*y = -15. Let p = 42 + f. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u. Let c(s) be the first derivative of -s**5\/24 + 5*s**3\/3 + 30. Let f(m) be the third derivative of c(m). Give f(y(h)).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.9 - 13. Let z = 0.92907 - 0.02867. Let u = g - z. Round u to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6396632ml to litres.\nAnswer: 0.0006396632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(504) + sqrt(504) + (sqrt(504) - (sqrt(504) + sqrt(504)*3)*-1))\/(5*sqrt(8)*4))**2.\nAnswer: 3087\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2205, -8818, -19843, -35280, -55129, -79390, -108063?\n\"Answer: -2206*x**2 + 5*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let h be b(4). Suppose -2*f = -5*x - 34595, -3*f - h*x + 69204 = f. Round f to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11557 = -283*m + 12317 + 8388. Solve -m*l + 56*l - 406 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 5*l + l)*(-4*l + 4*l + l) + (-3 + 3 + l)*(1 + 1 - 4)*(8*l + 5*l + 0*l).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7667 a factor of 1370036629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12545099167584 - -13.\nAnswer: 12545099167597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98, 201, 696, 1381, 2250?\n\"Answer: -m**3 + 104*m**2 - 6*m - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = u - 104, 0*b - 5*u = 3*b - 100. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592737, 593304, 593867, 594426, 594981?\nAnswer: 595532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, and 1 m when three letters picked without replacement from ppqmpaqqxpca.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2753*r**5 + 138*r**2 - 4.\nAnswer: 165180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310302 (base 6) to base 7.\nAnswer: 132053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-3 - 1))*1 + 1. Which is the closest to 0? (a) -2 (b) l (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 8 = 13*v. Let u(t) = -t**2 + 7*t - 3. What is u(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*c + 84 = -0*x, -4*x = -2*c - 104. Suppose 0*r + 4*r = -x. What are the prime factors of (18\/3)\/(r\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -298*y + 34*y**2 + 894*y - 297*y - 299*y. Let k(x) = -x. Let b(h) = h**2 - h. Let z(m) = b(m) - k(m). What is z(f(r))?\nAnswer: 1156*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 54. Let v(j) = -4*j - 109. Let l(b) = -7*k(b) + 4*v(b). Let s be l(-6). What is the third smallest value in 5, -1, s, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-192))\/(2\/20). Let o be (1\/(-3))\/(2\/6). Let g be 0\/o + 6\/14. What is the third biggest value in -4\/5, g, b?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 1 - 2\/1. Let x(v) = v**3 - 6*v**2 - 5*v - 7. Let f be x(7). Let m = f - o. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*m = 272*m + 722*m - 18465 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109515023749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 6*v. Let d be a(-9). Let p = 28 + d. Solve 3*t = -2 - p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 25 = -c + 2*v, 5*c + 3*v = -42. Let g be 4\/18 + (-43)\/c. Put g, -2, 4 in decreasing order.\nAnswer: g, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -10)*((-3)\/14)\/((-30)\/(-35)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 664 + -697 + 2 + 0 + -18?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 4, n: 3}. Give prob of sequence en.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0122 rounded to one dp?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*c - 61 = 0, -3*a - 37 = -4*a + 4*c. Let m = 48 - 62. Let s = a - m. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-6 - 150\/(-24))*-154*180\/(-252).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l = -22*l - 512. Let i = -4 - -36. What is the greatest common divisor of l and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1740 is divided by 237.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3950494 to the nearest integer?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 11011200201101?\nAnswer: -11011200201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 2*d**2 + d - 1. Calculate o(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26676 = -6*l - 3*l. Suppose 2*p = -2*u + l, 4*p + p = 3*u - 4422. Suppose -8*q - 407 = -u. What are the prime factors of q?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15090 divided by -2158\nAnswer: 7545\/1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-360)\/210)\/(36\/(-63) - 3\/(-7)). What is the third smallest value in -0.5, z, -10, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4114*n**3 - n**2 + 4*n - 4. Let c be m(1). Find h such that -5*h**2 + 4108*h**5 + 5*h**4 + 15*h**3 - 10*h - 1 + 1 - c*h**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24\/(-36)*(-45)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -778.073 to the nearest 10.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + t + 39, 0 = -2*r - 15*t + 16*t + 15. Solve -5*l - 13 = w, r*l - 7 = 4*w + w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r + 3. Suppose 5*d - 20 = -0*d. Suppose -2*j - 196 = -d*j. Let z be j\/56 - 1\/(-4). Determine s(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24893015 divided by 805?\nAnswer: 30923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 17*o**2 - 9*o + 12. Let s be n(8). Let v be -3 - ((-3 - 1) + -2). Suppose -d = -0*d + 5*r - 20, 0 = d - v*r - s. Which is smaller: 12 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k + 36 = 3*n, -3*k + 3*n + 400 = 499 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 260342.43 + 16821239.57. Let i = h - 17081579.7999978. Let m = 2.2 - i. What is m rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + 870?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2539 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38809*y**3\/9 - 3940*y**2\/9 + 100*y\/9.\nAnswer: y*(197*y - 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -43500 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) -1.7 (c) 5\/6 (d) 0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/7)*i**(3\/4))**(-40)\/(i*(i\/(i**(1\/4)\/i))\/i*i**4)**(-2\/71) assuming i is positive.\nAnswer: i**(-12619\/994)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 64 and -2.03 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45114565 to the nearest integer?\nAnswer: 6717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 332 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80794 and 140693?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 - 144. Let k = -30 - h. Calculate the greatest common divisor of 231 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 - 3*l - 17. Calculate the remainder when x(-9) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2196*v + 2131*v + 2111*v - 6224*v.\nAnswer: 214*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 3. Let l be y(-5). Suppose -4*c + 168 = -n, -l*c + 53 = -c - 3*n. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4.4. Let a = j + -1.5. What is the smallest value in a, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3918296 is divided by 706?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295638809216 - 2*x + 295638809216.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 6, s: 7}. Give prob of picking 2 i and 1 s.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)\/y)**1\/(y**0\/(y\/((y*y*y*y**(-1\/2))\/y)))*(y*y**3)\/y**0*(y**0\/y)\/y**0 assuming y is positive.\nAnswer: y**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 4:30 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n - 690 = 81*n. Which is bigger: -103\/15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 12:46 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 2883*q - 134723. Calculate g(46).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -31, -21, -11, -1, 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -86. Let u(n) = -n**3 + n**2 + 2*n + 1. Calculate u(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/9, 21\/2, 120, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/25)\/((-44)\/10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-4) - (-276375)\/56950?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from fufuuuqfono?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**29*t\/t**29)\/(t**(26\/7)\/t)**(6\/31))**34 assuming t is positive.\nAnswer: t**(3502\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25947*-0.2.\nAnswer: -0.051894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2399150311 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 7*q**4\/8 - 365*q**3\/6 - 43*q**2 + q. Let v be f(18). Solve 0 = 4*t - w + v, 3 = 3*w - 0*w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65491765 and 3140?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 1 - 12*f**2 - 2*f - f**2 - f**2 - 5. Is 7 a factor of s(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.2 + 8. Let y = l - 6.8. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19323 = -7*h + 34479. Find the first derivative of 7686*s + 7*s**3 + 25 - h*s wrt s.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 19\/(-5))\/(4\/(-10)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and -0.056859.\nAnswer: -0.1364616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6\/5)*g*g**(-2\/37))\/(g**(-1))**(17\/6))**(-26) assuming g is positive.\nAnswer: g**(-37219\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 135*l + 26. Let b(s) = 584*s + 103. What is 3*b(x) - 13*d(x)?\nAnswer: -3*x - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 6 = 7*s. Let x(v) = -6*v**3 + 8*v**2 - 3*v - 4. Let p(o) = -7*o**3 + 9*o**2 - 3*o - 5. Let q(n) = s*x(n) - 5*p(n). What is q(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 11, h: 2}. What is prob of picking 2 r?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*f - 33, -3*h + 5*f = 3*f - 30. Find the second derivative of 3*r - 10*r**4 + 16*r**4 - h*r**4 wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*o - 818, -z + 5*z - 1636 = -3*o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 - 10 + 2*h**2 - 16*h + 37*h - 19*h + h**4 - 8*h**3 + 20*h**3 as c*h**3 + a*h**4 + x*h**2 + f + p*h and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 4*m + 9*m**3 + 5*m**3 + 5*m**3 - 5*m**3 as y + z*m + f*m**3 + g*m**2 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.713849kg to grams.\nAnswer: 713.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 272837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(2\/2))\/((27332295\/146)\/(-687))?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01574 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.3 + -1.7. Let s = -89.8 + 81. Let q = s - w. Which is the third smallest value? (a) 2 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -25, -73, -155, -283?\n\"Answer: -2*x**3 + x**2 - 15*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -20 + 1\/3*v**3 + 7*v - 3*v**2. Determine q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*l + 3*l - 6, -4*y + 6 = l. Let a(z) = 16*z - 2. Is 6 a factor of a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/48 and -85\/256.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {s: 4, c: 1, b: 1, j: 2, z: 4, i: 7}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/9*6\/4. Let h(q) = q**3 - q**2 - q + 2. Let g be h(2). Let x = 58 + -54. Solve g*m - v*m = x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 7*w - 24. Solve z + 3 = w*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.343766 rounded to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4662 (b) -1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 2\/151, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d - 2. Let s(z) = 3236*z - 29. Give i(s(b)).\nAnswer: -35596*b + 317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1706*f - f**2 + 2*f**2 + 7 + 1658*f.\nAnswer: f**2 - 48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 11*m + 108504000. What is m rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/7871922 and 41\/11.\nAnswer: 86591142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -41986.4 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 23 = -2*c + 7*c, 2*g - 3*c = -1. What is the lowest common multiple of 11 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 3*g. Let h be t(-2). Suppose -h*z + 5*d = -120, -180 = -2*z - z + 5*d. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 3:09 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -8*k + 50 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n - 11. Let k(o) = 33*o - 41. Let x(i) = 16*i - 21. Let w(j) = 4*k(j) - 7*x(j). Let r(d) = 8*f(d) - 5*w(d). Calculate r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -7*j + 451. Suppose -4*h + 0*h + 116 = -2*x, 2*x = -3*h + j. What is the highest common divisor of 62 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 0.099075?\nAnswer: 5.099075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37266 + 86965. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n = 5*h - 1224, -3*n = -4*h + 993. What are the prime factors of h?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n + 0*n - 6*n + (-11*n + 13 - 13)*(4 - 6 + 3 + (-1 - 3 + 2)*(-3 + 1 + 4) - 2 + 1 + 2).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34026 by -11342.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 12*a**2. Let f be z(-12). Suppose -2*w + 10 = f, -45*w = -4*r - 41*w - 9480020. What is r rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 268, 388, 508?\n\"Answer: 120*a + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 488675460 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/887 + -26596\/6209. Let s = 549835 - 7173988\/13. Let g = s - -2009. What is the common denominator of g and m?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-4))\/(143\/572). Solve 8*o + 6 - c = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1703*i - 2*m + 4 = -1707*i, -33 = 5*i + m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2958396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 - 10 - 2*i**4 + 3*i**3 - 2*i - 1 in the form u*i**3 + c + p*i + w*i**2 + a*i**4 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/7 and (-4)\/4 - 89\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 199?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**(-2\/7)*l)\/l)\/l)\/((l*l**3*l*l)\/l))**(-17))**(-33) assuming l is positive.\nAnswer: l**(-24684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 27*t - 9. What is the remainder when a(-8) is divided by 64?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)*t)**(-6)\/(t**(1\/4)*t**(-5))*(t*t\/(t*t**0)*t*(t\/t**(-8)*t*t)\/t)\/((t*t**1*t)\/t)**(2\/27) assuming t is positive.\nAnswer: t**(713\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 251*r + 57. Let b be h(2). Solve -3*s = -b + 550 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4608624?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18641 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 519 and 3.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392\/3650 - (-308)\/(-11242).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118137876?\nAnswer: 2, 529534469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -4, -5, -176?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoroouuururoocoo. What is prob of picking 3 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -35. What is the closest to -2 in a, -5\/4, 2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 9) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*c - 4*y - 24 = 74*c, 34*y = -5*c - 82 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3)*(-2)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 4601905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (174\/(-203))\/2 + (-545768)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -414.62 - -4.62. Let i = -192 - y. Let f = -218.0000103 + i. What is f rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18919 is divided by 215?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 257315?\nAnswer: 257315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 92, 152, 226, 308?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-68 - 1)) + (-25 - -30) + 3 + -6.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567 + 559 + 13*g - 1126.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t = 3*s + 28*t - 846, 0 = 3*s - 3*t - 831. Calculate the remainder when s is divided by (-274)\/(-6) + (32\/(-6))\/(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97450 by 3898.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 69440.647 to 0 dps.\nAnswer: 69441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**2 - 3*n + 47. Let j(h) = 4*h**2 + h - 24. Determine -5*j(a) - 2*l(a).\nAnswer: -2*a**2 + a + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-25 - 4) - (0 + (4 - 7))) + 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose 2*l + 0*l + 10 = f. Is -2 + 21\/(-2 - l) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from gtjlgltjgiljglglgjig.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**7\/70 + b**6\/20 + b**5\/20 - 69*b**2\/2 + 10*b. Let x(d) be the first derivative of n(d). Factor x(y).\nAnswer: 3*y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4863 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 217*m - 1637. Determine q(95).\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 4.8. Let h = -1 - s. Sort 0.1, h, -1 in decreasing order.\nAnswer: h, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.6 + -4. Let r = 12.59999731 - l. Round r to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 1:08 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 77 = x. Suppose 1068 = -5*f - 197. Let m = x - f. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-9))\/((-1)\/3). Let d(f) = f**2 - 6*f - 8. What is the remainder when -30*(j\/(-4) + -1) is divided by d(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 255 and 125.\nAnswer: 6375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184.3 + 153. Let p = -30 - v. Let o = -1.356 + p. What is o rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-105)\/9)*(26 - 2). Let v = -381\/35 + h. Is 0 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 43*s**2 - 2*s - 1. Let z be v(-1). Let p = -42 + z. Sort p, -5, -4, 5 in ascending order.\nAnswer: -5, -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 26. What is the remainder when 39 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*c - 7*c = -1016, 5*m + c - 1276 = 0. Let p = m - 212. Calculate the remainder when p is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - 3\/((-36)\/3172). Let q = z - 44. What are the prime factors of q?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 9:33 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -10. Let p be 2 + r - (16 + 2). Which is smaller: p or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -11*o**8\/7 + 15*o**4\/4 - 3*o - 31. What is the third derivative of p(f) wrt f?\nAnswer: -10560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 + 5891064*f - 2169039690756 = 0. Calculate f.\nAnswer: 736383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 561311422 - -4?\nAnswer: 561311426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10246 divided by -2?\nAnswer: -5123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - u**2)*(-3 - 10*u + 3)*(2 + 5 - 3).\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.103 to 2 dps.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*d - 2876*d = 2335*d - 500712 for d.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -138.1*-1\nAnswer: 138.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 193. Let a = -78 - x. Suppose 2*n + 266 = a*h, 3*n - 182 = -3*h + n. Calculate the remainder when h is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - d - 14. Let t(v) = 30*v**2 + 18*v + 336. Let b(c) = 24*l(c) + t(c). Let w(q) = 2*q**2. Give w(b(y)).\nAnswer: 72*y**4 - 144*y**3 + 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -9662859 and -301721.\nAnswer: -9964580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 3*f + 142. Sort f, 3, -5, -65 in decreasing order.\nAnswer: 3, f, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/((-5525)\/(-52)) + 38\/110.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -4.7 (c) 2\/11 (d) 4 (e) 3 (f) -0.01 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002341739 rounded to seven decimal places?\nAnswer: 0.0000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -25*y - 221. Let d be n(-9). Let h(u) be the first derivative of 12*u + d*u**2 + 4\/9*u**3 - 6. Suppose h(w) = 0. Calculate w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -344 - -346. Is t equal to 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2551362 divided by 1275681.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*r + 34*r + 26*r + 74*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nznnznnnn.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*u**2 - u - 5*u**4 - 13*u**2 - 15*u**3 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182\/11, 1.5, 1.13, -3\/4 in increasing order.\nAnswer: -3\/4, 1.13, 1.5, 182\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 g when three letters picked without replacement from ggoo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 499 and 22368673?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38\/11 + 505\/143. What is the common denominator of a and -3\/11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(375\/(-40)))\/((-2548)\/4550).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 - 4 = 0. Suppose 4*n + 5*r + 56 - 8 = w, -n + r = 3. Let f = 29 - n. Calculate the greatest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -14, -4, -5, 1242.\nAnswer: -14, -10, -5, -4, 0, 1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2618 - -2683. Calculate the remainder when 841 is divided by r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 28*l**3 - 59*l**2 - 28*l + 7. Calculate w(3).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(88) + (-1*(sqrt(88) - sqrt(88)*-1) - sqrt(88)) - sqrt(88))\/sqrt(8).\nAnswer: -3*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -3 - (6 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -5 + -15 + (1 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 3*g - 52 + 16 = 0, -5*g - 2240 = -2260 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86949086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.88 and -2822.\nAnswer: -2826.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from nygnfngnfnnncn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 0*q**2 + 0*q**2 + (-2*q + 4*q - 3*q)*(6*q**3 + 8*q**3 - 8*q**3) - q**4 - 2*q**4 + 2*q**4 + (2*q + 2*q - 6*q)*(q**3 + 5*q**3 - 3*q**3).\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -380, -366, -350, -332, -312, -290?\n\"Answer: y**2 + 11*y - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169*d**3*s**3*x - 2*d**3*s*x**2 + d**2*s*x**2 - 8*d*s**2*x**2 - 6*s**3*x**2 wrt d?\nAnswer: -1014*s**3*x - 12*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-264)\/42 + 4 + 2). Let a(j) = 12 - 23 - 2*j**2 + s + 4. Let o(g) = 72*g - 3. Give a(o(w)).\nAnswer: -10368*w**2 + 864*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -216*i - 635. What is x(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 4 - (2 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-240642)\/(-435) + ((-8)\/(-10) - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108517 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeegegegeggeee. Give prob of sequence ggee.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(6 - 1 + 1) + 5 - 2 - 1)*(2 - h - 2).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 73*q**2 - 205*q + 53. Let m be n(70). Solve m*a - 3 = 404*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 + 108. Calculate the greatest common divisor of 40 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 6*c + 11. Let b be p(4). Suppose 0 = 7*v - b*v - 20, 2*n + 3*v - 181 = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 14. What is the remainder when 76 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d + 10 = 36*d - 4*b, -d - 2*b = 0. Solve -5*q + 0 = -y + 19, -d*y = 3*q + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 37 = -20*g. Suppose 1140008 = r - 6*r + 4*z, -1139990 = 5*r + g*z. Round r to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2 + 78*z + 1235. Give t(31).\nAnswer: -2113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 29*n - 80 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -130*y + 788 - 308. Let a be (-2)\/6 + 32\/6. Suppose 3*v = -a*o + 16, 0 = -4*v + o + 3*o. Solve -v = d - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-3)\/((-47)\/(-94)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 + 11*w**3\/3 + w**2\/2 + 16*w + 14. Let r be v(-11). Is r equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -282314455\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -203*d - 24. Let i(r) = 204*r + 15. What is -3*g(a) - 4*i(a)?\nAnswer: -207*a + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - 0 - 3) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -k - 13, -32*s - 5*k - 16 = -29*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -564*j - 198*j + 132*j - 341*j as w*j + c and give w.\nAnswer: -971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -627, -5396, -18431, -43866, -85835, -148472, -235911, -352286?\nAnswer: -501731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 20 = 2*g. Let b = -12 - -17. Suppose -b*h - 6 - 9 = 0. Sort h, g, 5.\nAnswer: g, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2454085 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183.846 micrograms in tonnes?\nAnswer: 0.000000001183846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -1119*q**7\/14 + q**3\/2 - 61*q**2 + 19*q + 31. Find the second derivative of w(o) wrt o.\nAnswer: -67140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, i: 2, g: 4, l: 1, k: 2}. Give prob of sequence ilk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 8. Let s = o - -11. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 152966\nAnswer: -1\/152966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 533 + -529. Sort -28, -4, z, 0 in decreasing order.\nAnswer: z, 0, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9767754 is divided by 79?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 182 + -11?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 n when three letters picked without replacement from xzoooooonejoon.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258610.\nAnswer: 2, 5, 43, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r - 3*i - 11, 0 = -r - 4*i - 18. Suppose c + c + 13 = 5*g, r*g - 2*c = 10. Solve -p - g + 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 14 = 14*n. Suppose n*q - 5*u + 87 = 1334, -q = 3*u - 397. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -666674?\nAnswer: 13333.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - n)*(-7 + 115 - 28)*(12 + 10 - 4).\nAnswer: 2880*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 5*y**2 - 16*y + 17. Let v be z(7). Let p(c) = 9*c**2 + 7*c - 8 + 4*c**v - c**2 - 2*c**2 - 5*c**3. Give p(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110*-114827\nAnswer: 12630970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 4*v - 4, v + 14 = 2*m. Suppose 2*o - m = 11. Suppose 2*j + 1 = o. Solve 0 = -2*t - j, -6 = 2*a - 0*a - t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1770*p = 1776*p + 29, -3*o = 5*p + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000256570312 rounded to seven decimal places?\nAnswer: -0.0002566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 5, 11, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45769421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4001*x = -3720*x - 3653 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3593*v + 4 = -3591*v + 2*h, 4*h - 8 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 209\/94080 and 101\/1680?\nAnswer: 94080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -69*v + 75. Determine w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 115*g + 38. Let w(a) = 389*a + 113. Determine 7*l(b) - 2*w(b).\nAnswer: 27*b + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/13597 - 1781219\/81582. Let p be (-1322)\/(-7) - (-27)\/189. Calculate the common denominator of b and (-2520)\/p - 10\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -453*z**2 - 27635*z - 122 = 0.\nAnswer: -61, -2\/453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 10:30 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {f: 1, k: 1, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 5. Determine j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 - 20*q**4 - q**4)*((1 - 3 + 0)*(q + 2*q - 5*q) + 2 - 2 - q) - 2 + 2 + 10*q**5.\nAnswer: -56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 16*c**3 + 328*c**2\/7 - 185*c\/7 + 24\/7 = 0.\nAnswer: -24\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816 less than -1390.87183371?\nAnswer: -6206.87183371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 0*c - c)*(-21 - 9*c + 21 + 3 - 3 - 2*c + (-c + c + 2*c)*(-2 + 5 - 1) - 5*c + 5*c + 4*c) to the form a*c**2 + j + x*c and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) - sqrt(85)*-1) - sqrt(85))*-2)\/(5*sqrt(180)) - -2*(sqrt(102)\/((sqrt(54)*1)\/sqrt(9)) + 1)**2.\nAnswer: 62*sqrt(17)\/15 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 788\/(-46886)*-2*21\/(-18)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6836?\nAnswer: 6836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 22 + 14 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257789 times 382?\nAnswer: 862475398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2946621744 divided by 6.\nAnswer: -491103624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2706000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.9 - 15. Let o = 1.3 + k. Let d = 0.8 - o. Put 3\/4, d, -3 in increasing order.\nAnswer: -3, d, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 775 - 778. Let t(i) = 1157*i**2 - 6*i - 4. Is t(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 s when three letters picked without replacement from {s: 7, h: 5}?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09576 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2) + 1) - sqrt(2)) + -3*sqrt(2)*-1.\nAnswer: -6 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/77)*p*p)\/(p\/(p*p*p*p**37*p))*((p\/p**(7\/8))\/p*p)**(-1\/16) assuming p is positive.\nAnswer: p**(413619\/9856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 17*k**2 + k + 6. Let n be s(-17). Is -12 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-1)*99\/396*5\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.25 - -14.16. Let d = -38 - -37.81. Let j = v - d. Round j to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*t**3 + 461 + 621 - 104*t**3 - 57*t**3 + 376*t**3 - 106*t**3.\nAnswer: 3*t**3 + 1082","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 2:46 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-7)*j)**38\/(j**(-22))**(-25) assuming j is positive.\nAnswer: j**(-740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7133067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -779 - -781. Sort 28, p, 1 in ascending order.\nAnswer: 1, p, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3113572870?\nAnswer: 2, 5, 311357287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = 2*k, -142*k + 8 = -139*k - u. Let s(q) = 66*q**2 + 3*q + 2. Let z(b) = -67*b**2 - 4*b - 2. Let f(i) = 4*s(i) + 3*z(i). Is f(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783619187.\nAnswer: 13, 2539, 23741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3649844 + 4?\nAnswer: 3649848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 - -163232?\nAnswer: 163185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 20*f**2 - 4124*f - 1032244. Let s(d) = -18*d**2 + 4119*d + 1032245. Let m(h) = -11*p(h) - 12*s(h). Solve m(v) = 0 for v.\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2468 and 22?\nAnswer: 27148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3 - 987*q**2 + 1764*q - 2 wrt q?\nAnswer: 6*q - 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1331059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 79. Suppose -n = -3*n + 42. Let y be 6\/(-21) + 90\/n. Solve w*r + 4*l = 8, y*l - 2 = 5*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 0.0512?\nAnswer: -1.3312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8131 and 1347114.\nAnswer: 233050722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 86577.22kg in tonnes?\nAnswer: 86.57722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 17. Suppose k + c = 5*d, 24 = d + 3*d - 2*k. Suppose 3*s - 2*n - 52 = -n, -d*s + 89 = -4*n. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-175)\/(-21))*(-22 + -5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101146 divided by -982\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 5 - ((18 - 15) + (0 - -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 divided by 1?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 3*v - 264. Do v and 27\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0076 (b) 0.4 (c) 2\/11 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4)\/(215100\/(-5800) - -37)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*a - l, -4*a + 11*l - 13*l = -38. Solve 9 = -a*r + 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1111, 6329, 11573, 16855, 22187, 27581, 33049?\n\"Answer: 2*o**3 + o**2 + 5201*o - 4093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-8)\/5)\/1)\/(192\/(-480)). Let b = -10 - -8. Let c be (1 + b)\/(3\/(-9)). Solve w - 3 = 2*i - 1, -19 = -n*w - c*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 664420 divided by 9.\nAnswer: 664420\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1614*p**3 - 6*p**2 - 12*p - 6. Let w(d) = -d**3 - d**2 + 2*d. Let n(r) = j(r) - 6*w(r). Find the second derivative of n(g) wrt g.\nAnswer: -9648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*i - 293*i + 44*i + 85*i.\nAnswer: -604*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) + (sqrt(95) - 1*sqrt(95))))*-4)\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5*b - 3*b)*(-1 + 0 + 2) + 2*b - 2*b + 4*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197742*d**2 - d**3 + 10*d - 197742*d**2.\nAnswer: -d**3 + 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107246321, -428985293, -965216913, -1715941181, -2681158097, -3860867661, -5255069873?\n\"Answer: -107246324*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 21 = 2*r + 3*d, -r + d + 12 = 0. Calculate the remainder when 48 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 5*m**3\/3 + m - 329. Let a(l) = -6*l**2 - 1. Calculate 6*a(g) + 5*k(g).\nAnswer: -11*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 191 + 5*u + 3*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-16 + (4 - -7) + (5 - 1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/10 - -3\/20. Let d = -1.27 - -1.321. Let x = d + 0.949. Is x < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z. Suppose -4097 = 3*n + q, 5*n + 6834 = 4*q - z*q. Find the common denominator of n\/(-60) - 9\/15 and -61\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.9769*-4.7\nAnswer: 32.79143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 18*m + 70 = -370 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 4 + 28\/(-4). Let g(y) = -3*y - 2. Let n be g(m). Solve -n*x - 3*o + 3 - 28 = 0, 20 = -2*x - 4*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4221499 at most -4221499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 882 = 114*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8799 <= 6.95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60811.17 millennia to months.\nAnswer: 729734040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) 134 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 3*p**4\/2 + 25*p**3\/3 - 6*p**2 - 22*p. Suppose d(x) = 0. What is x?\nAnswer: -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1115 and -8585.\nAnswer: 957.2275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*b. Suppose 0 = -l - 5*p - 5 + 12, 5*l = -b*p + 12. Suppose -3*c + 95 = 2*c - 5*m, -c + 21 = -l*m. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((6 - 5)\/(-1)) - -31. Let v(n) = 961*n**3 + 3*n - 962*n**3 + 11 - i + 7*n + 5*n**2 - 15*n**2. What is v(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g - 7. Let t = 338 + -332. Let n(s) = 1. Calculate t*n(d) + h(d).\nAnswer: -6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*i - 0*r - 14, 4*i - 10 = -125790*r + 125792*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/2210)\/(-8 - ((-21)\/10 - 6))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9 - 8\/3*s - 4\/3*s**3 - 2\/9*s**4 - 26\/9*s**2.\nAnswer: -2*(s + 1)**2*(s + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -6*a + 14, -4*p = -9*p - 4*a + 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 114 = -4*s, -3*s = -v - 14 - 11. Find the common denominator of -43\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {v: 1, i: 1, s: 1, l: 3, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 13*r**2 + 15*r - 21. What is the tens digit of a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 19*b**3 + 10*b**2 - 22*b - 16. Is 16 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29771.9 - 29772. What is the smallest value in -2567, 2\/3, -4\/7, d?\nAnswer: -2567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 2)\/(12\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1 + 6\/10). Let a(k) = k**2 + 14*k + 10. Let b be a(-13). Put r, b, 4 in decreasing order.\nAnswer: r, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16362 and 138282534?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 2786355?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuua when four letters picked without replacement from uccceucwac.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57.872 - 0.128. Let l = j - -40. Let w = 18.1 + l. Which is the third biggest value? (a) 2\/7 (b) w (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 take away -0.142187?\nAnswer: -17.857813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t - 69*t**2 + 0*t**3 + 59*t**2 + 2*t**3 - 2*t to the form g*t + x*t**3 + b*t**2 + l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 477 - 475. Let n = 34 + -24. Suppose 74 = s + 2*w - w, -m*w = -n. What is the highest common divisor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128\/9 - 4\/3*s**2 - 4\/9*s**3 + 16*s = 0. Calculate s.\nAnswer: -8, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 - 4*t**3 - 2143*t**2 + 2143*t**2 + 64 to the form w*t**3 + o + z*t + d*t**2 and give o.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, -5, -110, -325, -686, -1229, -1990?\nAnswer: -3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 383\/1547 + -2\/119. Let n = -226119 - -226120. Which is greater: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 7. Suppose -j*i = 7 - 27. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2040304 (base 5) to base 16\nAnswer: -8425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6926 in -3, 0.5, -0.3, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4061619012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 a when four letters picked without replacement from yauuyyuauyaaaauaagaa.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:49 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -271739, -271735, -271731, -271727, -271723?\n\"Answer: 4*f - 271743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*z + 3, -3*z - 4 + 1 = 0. Solve m = 3*o - 3*y + 21, -2*o - 6*y + 21 = -y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603.4554824 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 802*c**2 + 418*c**2 + 7*c + 424*c**2 - 4*c.\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*r**2 - 1 + (-4*r - 3*r - r)*(-8*r + 3 - 3) - 6*r + 6*r + 2*r**2.\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(176)\/sqrt(4)*-3)\/(4*4*sqrt(48)\/(sqrt(24)\/sqrt(2))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + 266*b**2 + 8264*b + 639. Give f(159).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(3) + sqrt(3)*-2*-6) + -2 + 6*(sqrt(11) + 1))*-6.\nAnswer: -474*sqrt(11)\/13 - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 - -267. Calculate the remainder when w is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 - 1 + o**2 - 3*o**2. Let h = 32 - -26. Calculate the remainder when h is divided by t(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -247*s + 245*s + q, 0*s + 133 = 9*s - 4*q for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u**2 + 3*u - 2. Let b be q(-4). Suppose 121 - 61 = b*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14246052 (base 7) to base 15\nAnswer: -1b6d1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.9 - 46. Let d = -0.4 + w. What is d rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87465 and 2058?\nAnswer: 174930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7221 - -7232. Let h(f) be the first derivative of -20\/3*f**3 + r + 75\/16*f**4 - 25\/24*f**6 + 1\/2*f**5 + 5\/2*f**2 + 0*f. Let h(a) = 0. Calculate a.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1478 + -417. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 91, 4 in increasing order.\nAnswer: 4, 12, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -3835\/8147 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3473*-340\nAnswer: 118.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 4 (c) 58 (d) -3 (e) -1\/15 (f) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 440641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*l - 110 = -195, 8*l + 130 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50297964*q**4 + 2*q**2 + 1745915*q + 5.\nAnswer: -1207151136*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 43*u**3 - u**3)*(-1 - 3 + 5 + 2 - 3 + 0 + (1 + 1 - 4)*(0 + 5 - 4) + 2 - 1 + 3).\nAnswer: -90*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 75 = 20*w. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 931215245*o**3 - 155228822*o**2 - 2*o wrt o.\nAnswer: 5587291470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4478990?\nAnswer: 3\/4478990","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 2. Let w be y(5). Let j(m) = 4*m**3 + 3*m**2 + 3*m + 1. Let g(a) = a**3 - a**2 + a. Let z(u) = w*g(u) + j(u). What is the units digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*k + 2*w, 18 - 22 = -4*k - 4*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 1. Suppose 2*z - t + 6 = z, t = -z. Let y be x(z). Suppose 0 = -y*w - 0*w + 5*o + 45, 0 = 4*w - 4*o - 72. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + 132. Let d = -217 + k. Let h = 175 - 1223\/7. Put h, 4\/5, -2\/5, d in decreasing order.\nAnswer: d, 4\/5, h, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - -99)\/(3 + -1). Let i(w) = 28*w + 3. Let q be i(4). Calculate the greatest common divisor of q and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/3 + 814*l**3 - 2444*l**2\/3.\nAnswer: 2*l**2*(l - 1)*(l + 1222)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55c313 (base 13) in base 5?\nAnswer: 1004314112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (-24 + 5)) + (11 - (-4 - 3 - -52)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -518 at most -526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.2532 and 1792.4442?\nAnswer: 1790.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-77)\/(-22)*-2*4\/(-42). Which is the second biggest value? (a) -1\/6 (b) -1 (c) z (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2\/5 - 847084*q\/5 + 847086\/5 = 0.\nAnswer: -423543, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljjq when four letters picked without replacement from qlljqjqqj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - -1*(1 + 2). What is the second smallest value in 2, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:40 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 76. Suppose -z - t = -7*z. Let i = -5 + 17. Calculate the smallest common multiple of i and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39258, -70231, -101204, -132177, -163150, -194123?\n\"Answer: -30973*l - 8285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(9\/2)*(-54)\/(-180)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/30091680 and -121\/80?\nAnswer: 30091680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttzftttttzzffttt. Give prob of picking 1 t and 1 z.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-6)*t**(-2))\/(t**(-1\/3))**(-8\/15))**(-37) assuming t is positive.\nAnswer: t**(11951\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**2 + 2*o - 2. Let j(r) = 7*r**2 - 2*r + 2. Give -7*j(p) - 6*x(p).\nAnswer: -p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 93. Suppose -t*w + 177 = -9*w. Suppose -q = -81 + w. Calculate the remainder when q is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*5\/((-30)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81*d**2 - 4 + d**3 - 81*d**2)*(-2 + 6 - 1) + 117*d - 202*d**3 - 117*d to b + s*d + v*d**2 + h*d**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 8*c. Let x(f) be the second derivative of f**5\/40 + 26*f**3\/3 + 6*f + 1. Let y(i) be the second derivative of x(i). Give k(y(u)).\nAnswer: 18*u**2 + 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/21)\/(3\/18).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 526.6 + -527. Sort 6\/13, z, -0.2, 1\/5 in ascending order.\nAnswer: z, -0.2, 1\/5, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*j - 3*i**3 + i**2*j - 1686*i**2 - 100278*i*j + 2*i wrt i.\nAnswer: -12*i*j - 18*i + 2*j - 3372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 5, -0.096, -7, 856?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b + 4. Let a be z(2). Calculate the greatest common divisor of 48 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/(210\/(-63))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 2\/15, -425, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**5\/40 - n**4\/12 + n**3\/3 + n. Let l(k) be the second derivative of x(k). Find the first derivative of l(o) wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 21 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -23, -36, -51?\n\"Answer: -o**2 - 8*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23815690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*v - 24, -131 = -3*d - 2*v - 19. Let f(h) = -h**3 - 13*h**2 - 10*h - 35. Calculate the remainder when f(-13) is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56193613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0855 + 193777594.\nAnswer: 193777594.0855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(48) + (-1 + sqrt(1872) - sqrt(13) - sqrt(13))**2.\nAnswer: -79*sqrt(13)\/4 + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -964*f - 3245. What is the tens digit of c(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6 = 4. Let o = v - -8. Suppose -2*d - 32 = -o*d. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -20. Let r be (-7)\/(-2)*(-2224)\/m. Let k = r + -1277. Calculate the common denominator of -29 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 122 + 193 = 0. Calculate the remainder when 173 is divided by a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-5))\/((-2)\/(-1 - -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733575.346 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t**(-2\/13)))\/t*t\/(t**(-3)\/t)*t\/t**(1\/2)*t**(2\/5))\/(t**(1\/4)\/((t*t**(4\/5)*t*t)\/t))**(-25) assuming t is positive.\nAnswer: t**(-15001\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 670471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -7. Let q = 6 + d. What is the smallest value in 5\/4, 2\/15, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 1. Let x(o) = -o - 2*o - 2 + 9*o. Suppose -2*p + 3 = p. Let m = p + 0. Determine m*x(c) - 4*h(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -42 + -12 - -70?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 2 + (-26 - 1). Let t = -19 - k. Solve 3*g - 5*a - 35 = t*g, -g = 2*a + 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -9. Let j = 39 + t. Is 11 a factor of 8\/j - ((-2840)\/12)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - y - y**2 - 5*y**2 - 2 + 2*y**2 - 19*y to p + z*y + r*y**2 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzru when four letters picked without replacement from {x: 6, u: 3, z: 1, r: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 266996203 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m + 4*p = 0, 8 = -3*m - 5*p. What is the remainder when 19 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537594 divided by -86?\nAnswer: -17879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.8 - -6. Let m = p - 0.1. What is the third biggest value in 0.5, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6) + (10 - 87\/(-18)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699924 is divided by 8743?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185480 is divided by 333.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + -2003?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-2 - 4 + 5) + 636 - 1308 - 819)*(1 - 1 + t).\nAnswer: -1493*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4025 is divided by 1298.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 18797925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 176\/(-29) - 104\/(-1508). Let o(p) = -p. Let h = -9 + 4. Let q(j) = 8 - 8 + j. Give h*o(u) + n*q(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35.05 - 0.05. Let t = -38 + w. Let i(z) = -z**3 - 2*z**2 - 4*z. Let o be i(-2). Which is the second biggest value? (a) t (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 4*y**4 - y**4)*(-2*y - y + y).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*o**3 + 139440*o**2 - 462*o - 4929?\nAnswer: 60*o + 278880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 111*o**2 - 4*o - 2. Is z(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 4*h + 1, -80 = 4*h - n - 67 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7 + 0 + 9*f + 1 + f**2. Let w be t(-8). Factor 0*g**2 + w*g**4 + 0 + 2\/3*g**3 - 1\/3*g**5 - 1\/3*g.\nAnswer: -g*(g - 1)**2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0 - 15 = 0. Solve -4*d = -2*t - 10, v*t + 4 = -2*d - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a + a + (-3*a + 2*a - a)*(0 - 1 + 3) + 0*a - a + 2*a + 2*a - 2*a - a - a + 4*a - 5*a)*(-4*a**4 - a**4 + 3*a**4).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 2 - 55 = 0. Let o = 9 + -6. Suppose c - 25 = -c + n*a, -o*c + 43 = a. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (1 + 0 - -2)*15 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 20*x + 33*x - 109928*x**2.\nAnswer: -109928*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 882 = -2*a, 4*q - 5*a + 378 = 1554. Calculate the highest common divisor of 1862 and q.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -3 - -4) + 0. Suppose 0 = z*m + 10, 3 = 2*v - 4*m - 9. Suppose -4*o + 0*o + 8 = 0. Calculate the least common multiple of v and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/11 - 1658*a**2\/11 + 15056*a\/11 - 23464\/11 = 0.\nAnswer: -838, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16838*n + 12064 wrt n.\nAnswer: 16838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17393\/3220 + 1\/644. Let j = 51\/10 + h. Let n = -12865\/1749 + 13\/583. What is the common denominator of j and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11396023 < 11396037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1250 - 1227. Solve 4*g = 3*p - n, g - p = 2*g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 12)*(-6)\/4 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 17 = -20. Suppose -x = h*f - 18, -x - 6 = 2*x - 3*f. Suppose -x*j = j - 1652. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/5*p**4 - 4*p + 38\/5*p**3 + 0 + 22\/5*p**2 = 0.\nAnswer: -1, 0, 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q - 4. Let p be 1\/q - 1528\/(-16). Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -13*m**5\/60 + 171*m**2. Let f(d) = 2 - d**2 - 2. Determine f(c(i)).\nAnswer: -169*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4440895698?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9454, -9458, -9462, -9466, -9470?\n\"Answer: -4*u - 9450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/249 (b) -1\/777 (c) -0.043 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 (base 3) in base 10?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 11*v + 9. Let y be r(-11). Let b = -3 + y. Calculate the highest common divisor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02443 in -2.1, 2, -8, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3*-1)\/(238\/7344*-6).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 11*h**6\/144 - 19*h**5\/60 + 5*h**4\/12 - h**2 - 12*h. Let s(o) be the third derivative of y(o). Differentiate s(b) wrt b.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1051 to 3 decimal places.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(6\/13)*t**(-8\/9) assuming t is positive.\nAnswer: t**(76\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 323\/570 + (-2 - 0)\/12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15697 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/14 + 2\/(-7). Let b = 6 + t. Factor -2\/3*x**b - 2\/3 + 4\/3*x.\nAnswer: -2*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501313, -2005240, -4511787, -8020954?\nAnswer: -12532741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 o, and 1 z when four letters picked without replacement from bwrzrowror.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 2*u + 4. Let f(d) = -5*d**2 + 11*d + 20. Let o = -7 - -9. Let y be (-13 + (-4)\/(-2))\/(6 - (1 - -4)). Determine o*f(z) + y*k(z).\nAnswer: z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*q - 20. Let h(w) = 3*w + 5 - w - 2. Calculate h(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114127.\nAnswer: 13, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -27. Suppose 0 = -3*v + r + 25, -2*v - 18 = -4*v + r. Let a = l - v. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(48\/(-20)))\/((-14)\/42). Solve 6 + 4 = g*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 0*c - c - 8, 3*c = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/14775 and -67\/24231.\nAnswer: 605775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67619512?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -107 in 5, -0.4, 4, 3, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4443240 (base 5) to base 11\nAnswer: -5361a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29202 (base 13) in base 11?\nAnswer: 53034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 343*u**6 + 182*u**2 wrt u?\nAnswer: 41160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 d, 1 a, and 1 u when four letters picked without replacement from {w: 6, a: 3, u: 2, h: 1, d: 1}?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-1)\/4 + 0. Let l be ((-3)\/3)\/(-1) - 0. Let p be (5 - l - 9) + 5. Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 4*n. Suppose n = 5*s - 77 - 103. What is the remainder when s is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(26 + 25 - 60)*(2*g + g - 2*g + (-5*g + 3*g + 3*g)*(1 + 0 + 0))*(1 - g - 1).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2 = -2*a, 2 = -4*a + 22. Let x(p) = -6*p - 7*p**2 - 9 - z + 12. Let l = 7 - 6. Let u(c) = c**2 + c. What is l*x(o) + 6*u(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (-2 + 5) - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 2 - 2 + (3*u - 3*u + 4*u**2)*(-u + u + 2*u**3).\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13682, -13735, -13788?\n\"Answer: -53*m - 13629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2, 3*z + 38 + 4 = 2*t. What is the remainder when 2927 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 47*r**2 + 45*r + 50. Determine j(46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878517 is divided by 806?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i - 246. Calculate the least common multiple of o(31) and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4876 - -105028?\nAnswer: 111015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*s**2 + 6*s**2 + 3 to the form k*s**2 + b + h*s and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21516 and 193644.\nAnswer: 193644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v + 15 = 0, 3*q - 5*v = 38. Let w = -20 + q. What is the greatest common divisor of w and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 32. Give u(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*g - 3 = 5, -5*g = -5*b - 25. Is 26 a factor of (-8)\/b*39\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvdjvvjjzddj. What is prob of picking 2 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 5\/1 + (-1765 - -1764). Solve -2\/21*v**4 + 0 + 8\/21*v**h + 8\/21*v - 2\/21*v**3 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, t: 2, z: 5, s: 3, v: 4, l: 5}. Give prob of sequence vzsx.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5}. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32936*p**2*x**2 - 562*p**2 - 15*p*x**2 - 2976258*x**2 wrt p.\nAnswer: 65872*x**2 - 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -195\/6260794 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*o - 3 = 0, -9*o = -2*b - 5*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75244 rounded to two decimal places?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 784 divide 141178299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 18. Let t(p) = -p - 3. Let l(o) = f(o) - 6*t(o). Let i(g) = 9*g. What is l(i(q))?\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 369*q - 365*q = 0, 148*q - 165*q = 4*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45415030 to the nearest integer?\nAnswer: 6739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) + -3*((sqrt(350) - (sqrt(350)*1 + sqrt(350))) + sqrt(350)))\/sqrt(7) + ((sqrt(100) + sqrt(100)*3)*-2 - sqrt(100))\/sqrt(2))**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - r = -0*r - 5, r = -3*u + 8. Suppose 20 = 5*w - u*w. What is the greatest common divisor of w and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4147\/10380 + -1\/2076. Which is the nearest to -9? (a) v (b) -0.1 (c) -0.2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 3, 0.01, -2\/5, -0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldt when three letters picked without replacement from {o: 1, q: 1, t: 1, d: 1, l: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - 4528.2647885\nAnswer: -4529.3647885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 40*l - 173. Let p be n(-4). Solve 10*z - 23 = -p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13030.98um in meters?\nAnswer: 0.01303098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*d - 84*d - 3*q = 141, 0 = -5*d - q + 625. Solve -d + 26 = 25*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 4*q + 0*q**2 - q**4 + 0*q**2 to the form o*q + y*q**2 + k*q**4 + t*q**3 + b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 578\/7 + (-69)\/(-161). Suppose d*j + 2520 = 93*j. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*z + 13*v - 11*v, -48 = -3*z + v. What is the lowest common multiple of 396 and z?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 0 - 0\/3. Suppose 0 = -2*j - 2*v + 12, -5*j + q*v - 4*v + 15 = 0. Let y = 15 + -9. What is the smallest common multiple of y and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 8 - l**2 - 2*l**2 - l**2. Let s(q) = 9*q**2 - q - 25. Let v(f) = -7*a(f) - 2*s(f). List the prime factors of v(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-114)\/(-10) + (-21)\/(-35). Let o = z - 12. Suppose o*b - 4*b = -92. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530742984.\nAnswer: 2, 37, 5171429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76285558 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 30, 47, 64, 81?\n\"Answer: 17*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*s - g + 68, 4*s - g - 56 = 0. Let d be (-6)\/s*(-2 + -2 + -1). Solve -3*v - k + 2 = 4*k, -k = -d*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1946 and -12?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 8*r + 1. Let m be j(7). Let c be m\/(-3) - 1 - -4. Suppose -2*k = 5*t - c*k - 18, -4*t + 8 = 4*k. Solve -t*h = -8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(((-26)\/624)\/((-2)\/(-9))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + -0.01. Let h(u) = u**3 - 5*u**2 + 3*u - 5. Let i be h(5). Let p be 4\/i - 2\/10. What is the third biggest value in p, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*t + 7 + 10, -27 = -3*t + 3*h. Suppose -4*l - 12 = t*k - 2*k, 0 = -k - 4*l - 16. Solve k*s - 10 + 26 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1)\/7*(-8)\/(160\/(-70))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 10*s - 9. Let n be w(1). Let t(h) be the first derivative of 3 + 3\/2*h**n - h. What is the derivative of t(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -18*w**2 - 1183*w - 13. What is the remainder when r(-65) is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 + 64. Suppose -v + 137 = 4*g, -2*v + 45 = w*g - 25. What is the greatest common divisor of 85 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 111 = 97. Let p = -37 + a. Solve 0*t - p = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -4909\/2?\nAnswer: -4909\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184975?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.2, -8, -1\/10, -2\/15, -6, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 262 by -6.\nAnswer: -131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11 + 24476\/(-6))*-6?\nAnswer: 2, 5, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1354*o - 7547*o - 1591*o)*(0*o**2 + 5*o**2 - o**2).\nAnswer: -31136*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1631*f**2 - 94. Let w(b) = -28*b**2. Determine m(w(s)).\nAnswer: -1278704*s**4 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/5 + (-8)\/(-20). Suppose 3*h - 4*h + y = 0. Suppose -118*d = -139*d + 336. Calculate the greatest common divisor of d and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3553 = -5*m + 3565, -2*x = -m + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 243\/(-12) - 9\/4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38426 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 17769185*j + 3. Let n(v) = -5*v**2. Determine o(n(g)).\nAnswer: -88845925*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-3)\/h)*h)*h)**(-2))**(-23\/2) assuming h is positive.\nAnswer: h**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13569*g = -13567*g - 49*x + 224, -3*x = -5*g - 82 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/((-1)\/3). Let i = 1 - c. Suppose -g + 5*v = -33, -2*g + 7 = i*v + 1. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156986638*h**3 - 1347*h**2 + 328*h - 75 wrt h.\nAnswer: -941919828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7227 and -125064.\nAnswer: 903837528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**5 - 15*w**4 - 3*w**2 + 132 wrt w?\nAnswer: -180*w**2 - 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 194.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(12)*-1 + sqrt(12)))\/(sqrt(6) + sqrt(240)\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1094837993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-3\/10)*b*b*b)\/(b*b**(17\/4)*b*b*b)*((b**(-2\/37)\/b)\/b)\/b*b\/(b\/(b*b*(b*b*b**(-1\/23))\/b*b)))**40 assuming b is positive.\nAnswer: b**(-90122\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -9 - (1 + 13 + (1 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*y**3 - 57*y**3 + 177*y**4 + 31*y**3 + 2982 + 211 wrt y?\nAnswer: 708*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -84 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/5))**(-2\/107))**(-12) assuming r is positive.\nAnswer: r**(168\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + 2. Let k(x) = x**2 - 10*x - 9. Let c(l) = -l**2 + 9*l + 8. Let a(z) = 6*c(z) + 5*k(z). Let i be a(4). What is the closest to w in 5, i, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 11*t**2 + 6*t + 33. Give k(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(175)*3*3 - (-3 + sqrt(175)*2*3))**2*5.\nAnswer: -3600*sqrt(7) + 504045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 2, p: 1}. Give prob of sequence ph.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 492 = 5*v - 68, t - 572 = -5*v. Let h = 219 - v. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 13229, 4, 5, 7 in decreasing order.\nAnswer: 13229, 7, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 0 - 100\/20. Sort -5, 7, f in decreasing order.\nAnswer: 7, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -394926353302.\nAnswer: -394926353301.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -33*w + 2. Calculate p(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 44 = 4*r. What is the remainder when 54 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 990*q**3 - 70*q + 70. Let i = -24915 - -24985. Let r(u) = 43*u**3 - 3*u + 3. What is i*r(n) - 3*k(n)?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -1\/30*z**6 + 0 - 1\/12*z**4 - 5*z**2 + 0*z**5 + 0*z + 0*z**3. Find the second derivative of p(n) wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:13 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12867573.\nAnswer: 3, 31, 83, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2) + 4 + sqrt(2) - (-1 + -2*sqrt(2)))**2 + ((sqrt(80) - sqrt(80)*4)\/sqrt(10))**2 + -2.\nAnswer: 40*sqrt(2) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -242*g + 9674. Give v(40).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4948\/21585 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 114047489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - k + k)*(-6 - 218 - 2117 - 330) to f*k + p and give f.\nAnswer: -2671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2559153\/616 - -10126466051\/2441208. Let f = x + -2\/1321. Which is the closest to 0? (a) 2 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1191. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/8)\/(((x**14*x)\/x)\/x))\/(x**11*x**18))**(3\/16) assuming x is positive.\nAnswer: x**(-1011\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -371 - -137. Let u be h\/(-4) + 1\/2. Suppose 0 = 3*k - u - 34. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/10541 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3266.284 + -3270.284002. Let a = 0.06 - -3.94. Let m = a + b. What is m rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from iqqri?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13237057 to the nearest integer?\nAnswer: 3638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/6 - 9*g**2 - 22*g. What is the derivative of y(p) wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.16804 rounded to 2 decimal places?\nAnswer: 9.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, -0.2, -3\/10, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 4, r: 2, s: 1, t: 2, z: 1}. What is prob of sequence qq?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a factor of 6807495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(245) - (sqrt(245) + 3*(0 + sqrt(245) - sqrt(245))))*-6*-3 + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 986 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -65. Let c be (2\/f)\/((-30)\/(-375)). Solve -c*d = -12 + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 4. Let y be b(6). Let d = -555 - -1177. Let x = -622 + d. Which is bigger: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 22, 2\/3, 4577.76?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n**4 - 2)*(3*n - 16 - 4*n - 36).\nAnswer: -2*n**5 - 104*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1894907.9 rounded to the nearest 1000?\nAnswer: -1895000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 15*v**3 - 105*v**2 + 114*v + 27. Let c(s) = -8*s**3 + 53*s**2 - 57*s - 14. Let t(p) = 9*c(p) + 4*g(p). Suppose t(y) = 0. Calculate y.\nAnswer: -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 - 8 + 3 - 22*k - 15 + 0. Let w be n(-10). Suppose -4*j - 965 = -3*a + 448, -5*a - 5*j + 2355 = w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, and 2 x when four letters picked without replacement from gvxgxeiixxgyeg.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 2539290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/1636010 and -173\/8100.\nAnswer: 1325168100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2*m**3\/3 - 2*m**2 + 2*m + 16. Solve b(z) = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 215 by -1.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 52*g. Let t(r) = 7260632*r + 2*r**2 - 7260632*r. Give t(l(k)).\nAnswer: 8*k**4 + 416*k**3 + 5408*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.773 + 1.227. Sort 5, -1\/8, -0.08, s, 1 in ascending order.\nAnswer: -1\/8, -0.08, 1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/774 and 97\/813388.\nAnswer: 7320492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtddddedgddedddddgd. What is prob of sequence dg?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12451.95686 rounded to the nearest 100?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1 + 6*x**2 - 3*x**2 - 5*x - 5*x**2 + x**3. What is the tens digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -10, -1, -1.01, -2, 2\/5 in decreasing order.\nAnswer: 2\/5, 1\/10, -1, -1.01, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + -3 - (131 - 123).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.155 + 1.15507436. Round p to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.02, -0.05, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -182886, -1 in descending order.\nAnswer: 5, -1, -182886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1715813\/42 - -40855. What is the common denominator of -35\/3 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Suppose f = 5*u - u - 20. Suppose 4*o = 2*j + 26, -3*o - o + 28 = -4*j. Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 1)*(-4 + 4 - 2)*(-22121 + 22121 + 117*s**2).\nAnswer: -702*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msi when three letters picked without replacement from ejijmes?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -13. Solve 2*l = -5 - k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410 + 4002?\nAnswer: 4412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*t, -5*g - t + 28 = 12. Calculate the remainder when 4 + -6*(-1)\/3 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2 (c) -2\/29 (d) 1\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12281413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0143 and -572?\nAnswer: -8.1796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371106 and 5446.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:28 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.34 + -1.34. Let y = 2.97 - 3. Which is the fourth biggest value? (a) 0 (b) j (c) y (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-1280))\/((-834)\/75616)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 6*l**2 - 2*l - 8. Calculate q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0)*(3 + -1). Suppose -i*p = -5*n - 6*p - 12, -p = -n + 3. Suppose 4*d - 35 = -a, 5*a - 5*d - 175 = -n*d. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -29*v + 11. Is r(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4*14\/21*2. What is the common denominator of 7\/27 and (382\/(-288))\/u + 10\/45?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11971856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/22 + (-2020)\/(-22). Suppose 308 = 5*f - g. Let m = f - 402\/5. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24102, -48146, -72156, -96114, -120002, -143802?\nAnswer: -167496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(2) + -5 - (sqrt(32)\/sqrt(4) + sqrt(8)))**2 - (-4*(sqrt(2) + -1) + -1 + sqrt(50)).\nAnswer: -218 - 151*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + (1 - 6\/3). Is (-6 + 52\/l)*(1223 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23115 - 23113. Solve 6 = -d*y + 2*u, -2*y - 6 = 3*u - 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 6*v**2 + 12*v + 9. Give i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -1\/20*k**5 - 2*k**3 + 0*k**4 + 0 - 8*k**2 + 0*k. Differentiate q(b) with respect to b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1584) + -1)**2 + sqrt(1584) + 1.\nAnswer: -12*sqrt(11) + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18608.349 months in millennia?\nAnswer: 1.55069575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/3)*k)\/(k\/(k\/((k\/(k*k**(2\/41)))\/k))*k*k))\/(k**12)**(-4\/15) assuming k is positive.\nAnswer: k**(3023\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43634*y**3 - 17217*y**3 - 26425*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246052 is divided by 90.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*d = 2*c + 88*d + 5, 3*c + 3*d + 9 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -17*x - 81 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**2 - 6*h + 3. Let q be z(-4). Suppose 5*y = -0*y + q. Suppose 3*g = 5*t + y, t + t + 18 = 4*g. Is 2 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {z: 4, c: 5, v: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5398 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*x**2 + 5*x**2 - 6*x**2)*(-7*x + 3*x + 2*x) + (0*x + 2*x + 0*x)*(-3*x**2 + 2*x**2 - 2*x**2).\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = -19*h - 20*h. Sort 0, 199, h.\nAnswer: h, 0, 199","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = 3*m. Let n be -4*m\/4*-4. Let t be (-42)\/(-56)*16\/6. Put n, t, -3 in descending order.\nAnswer: t, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -785*x + 50757. What is v(66)?\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 135359331?\nAnswer: 1\/135359331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnnffmbnyfffnnsn. What is prob of sequence fy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4428510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 j when three letters picked without replacement from {m: 3, v: 2, j: 2, w: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -335.3 - 33762.\nAnswer: -34097.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 353327713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/3 or 2319?\nAnswer: 2319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**3\/3 - k. Let c(l) be the first derivative of 4*l**3\/3 + 172. What is z(c(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -720, -687, -656, -627, -600, -575, -552?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {f: 1, h: 1, u: 1, i: 1, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27848 and 3186?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -5, 0.\nAnswer: -127, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2 - 2*n**2 + n**2 - 2*n**2. Let k(z) = -2*z. What is b(k(p))?\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2510 - -10119\/4. Let w = m - 20. Are -1 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + (-2)\/(-1) + 60?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29147, -116516, -262103, -465902, -727907, -1048112, -1426511?\nAnswer: -1863098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -20\/13 (c) -4\/15 (d) -0.07 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3 - 2*o - 2 - 1. Let t(l) = 11*l + 8*l**2 - 11*l - 7*l**2. Give a(t(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l*l)**(7\/3)\/(l**1*l)**(-16)*(l**(-2\/7))**(5\/18)\/(l**(-1))**(-37) assuming l is positive.\nAnswer: l**(-173\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, -2\/19, 0.4, -4.29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + ((sqrt(1296) - sqrt(1296)*-1)*-5)\/((sqrt(972) - (sqrt(972) - 2*(sqrt(972) - sqrt(972)*-1))) + sqrt(972)))*6)**2.\nAnswer: 288*sqrt(3) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -21. Suppose -2*g - g = -d, 3*g = -i + 28. Suppose 5*s - t = 4*t + 70, -4*s - t + 56 = 0. What is the smallest common multiple of i and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365872 and 1424.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(11)*2 + sqrt(11) - 4*sqrt(11)*-2)**2.\nAnswer: 110*sqrt(11) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let g be (-1)\/((-1)\/6*q). Suppose 116*n = 58*n + 51*n. Solve n*d + 12 = -g*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 8*p - 4*p**3 + 7*p - 3 to the form r*p**2 + i*p + j + d*p**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 4*t + 2. Calculate l(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i - 1. Let u(r) = -r**2 + 14*r + 14. Let n be u(14). Let s = n + -13. Let f(h) = 2*h**2 + 1 - 6*h + 2*h**2 + 5. Give s*f(t) + 6*k(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 6*u**2 + 57*u - 336. Calculate k(7).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2222025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59.65 and -2?\nAnswer: -119.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j - 87600. What is j rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 32545.639.\nAnswer: 32546.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 6:19 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 23366, -3, 2, 4\/5, 0.1, 5, 65?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-14)\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 7. Let o be p(0). Let f = 7 - o. Suppose n - 5 = f, -29 = -5*z - 2*n + 21. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33 from -3911643.\nAnswer: -3911676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 3191708?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 6 (c) 169.6 (d) -4 (e) -5.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -37.3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -322 + 57*h**3 + 321 + 68*h**3 - 119*h**3 - 8*h - 2*h**4 in the form a*h**4 + r*h**2 + s*h + t + y*h**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 58*x = -524 - 1150 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*v - 3*v + 5*v)*(3*v**2 + 0*v**2 + 2*v**2) + 4*v**3 + 0*v**3 - 2*v**3 + (-16 + 16 + 7*v)*(v**2 - 2 + 2).\nAnswer: 134*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1305366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 1. Suppose -4*z = -z + 5*n - 38, -4*n = 2*z - 28. Suppose -11*f + 8*f = z. Give p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 5) + 6 + -9 + -3 - 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2. Let h(w) = 4834*w. Give h(s(k)).\nAnswer: -9668*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a. Suppose 9*p + 1026 = 27*p. Let m(n) = p*n - 32*n - 33*n. Calculate m(g(k)).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30035*b**3 - 1044*b**2 - 882130473 wrt b.\nAnswer: -90105*b**2 - 2088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2855)\/(-5*208\/720 - (-4)\/9).\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2229638 divided by -20?\nAnswer: 1114819\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**8\/80640 + w**7\/10080 - w**6\/960 + w**5\/20 + w**2. Let x(v) be the third derivative of s(v). Factor x(a).\nAnswer: (a - 1)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (13 + (-11 - 17) + 18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 5:20 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 + 3*y**2 - 2*y. Let c be (60\/(-180))\/((-2)\/18). Give h(c).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 349 = -713. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52048300 to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**2. Let f be i(-1). Let j = 877 + -769. Calculate the highest common factor of f and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 16. Let x = o - -8. Suppose 2*l + 67*a = 66*a + 11, 5 = 5*a. Solve 5*k = -l*m - 10, 5*k - 4*m + x = 11 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34925139.\nAnswer: 3, 967, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -18*t**2 - t + 185. Determine l(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1824794, -3649595, -5474396, -7299197, -9123998?\nAnswer: -10948799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g**2 + 5*g**2 + 4*g**2 + (4*g - 3*g + 0*g)*(4*g + g - 3*g))*(2*g**2 - 8*g**2 + 8*g**2) as s*g**3 + z + b*g**2 + t*g + m*g**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 24*a - 60. Let m be n(-8). Calculate the greatest common divisor of m and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25456*-0.01.\nAnswer: 0.0025456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -190 + 1333\/7. Let x(q) be the first derivative of -4\/7*q + 2\/21*q**3 + 3\/14*q**4 - 1 - o*q**2 + 2\/35*q**5. Factor x(f).\nAnswer: 2*(f - 1)*(f + 1)**2*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:53 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 17320*u**2. Let h(k) = -14*k. Calculate h(y(a)).\nAnswer: -242480*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2855 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -1 + 1\/20*m**4 - 113*m - 11\/10*m**2 + 4\/15*m**3. Solve x(f) = 0 for f.\nAnswer: -11\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.5691 meters in centimeters?\nAnswer: 61456.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5030 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.5, -3, 286.56?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34217707?\nAnswer: 31, 1103797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1, 9, 183, 28\/15, -0.2 in increasing order.\nAnswer: -5, -0.2, 1, 28\/15, 4, 9, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:37 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -359, -2908, -9929, -23690, -46459, -80504, -128093?\n\"Answer: -378*y**3 + 32*y**2 + y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 345817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkz when three letters picked without replacement from khkhhhhkz.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0*h**3 + 1\/2016*h**8 + h**2 + 0 + 1\/360*h**5 + 0*h + 1\/240*h**6 + 0*h**4 + 1\/420*h**7. Factor r(s).\nAnswer: s**2*(s + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 29*g + 7. Let x be b(30). Let n be 69 + (-1*4)\/2. Let j = n + x. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -801, 0.0285, 2\/3, 2\/11?\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 6. Let n(h) = -5*h - 11. Let z(j) = 10*j + 22. Let s(r) = 5*n(r) + 3*z(r). Determine 4*s(v) + 7*t(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*r**2 + 1 - 1 + 2*r.\nAnswer: 99*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 355083104 to the power of 1\/3, to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (258\/(-36) - -6)\/((-14)\/(1008\/12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -64\/7, -3, -1, 0.9?\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8073950, 32295792, 72665528, 129183158, 201848682?\nAnswer: 290662100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 2*i**2 + 0*i**2 + (-3*i + 2*i - 5*i)*(-5 + 7 - 4*i + 3*i).\nAnswer: 4*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 404 + -397. Let v be -1 + (-26)\/(-8) + -2. Sort v, d, 1 in descending order.\nAnswer: d, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from eeecccccceec.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnt when three letters picked without replacement from tstttmntvmmtn?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 10. Let o(z) be the first derivative of -z**5\/20 - z**4\/6 + z**3\/6 - z**2 - 2*z + 5. Let n(b) be the first derivative of o(b). Give n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5)\/(2*1\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n + 35 = 2*b, 5*b - 4*n - 45 = 0. What is the remainder when (39\/2)\/(-3)*-2 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*a + 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257 + -258. Sort -2, k, -5 in ascending order.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152866552?\nAnswer: 2, 19, 1005701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16568 at most 16568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 145*q - 32*q**3 + 6 - 7*q**2 - 5 - 145*q + 6. Let g(u) = -11*u**3 - 2*u**2 + 2. What is -7*g(v) + 2*j(v)?\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 26 = -4*b, 5 = 5*b + 2*i - 26. Suppose 3*m - 5*m - b*h = -23, 0 = 2*m - 5*h + 7. Solve -24 + m = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 7*q + 553 = 633. Solve -8\/9*l**4 + 4*l**3 + q*l - 8\/9 - 56\/9*l**2 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34882 (base 13) in base 12?\nAnswer: 47621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 2*f**2 + 2*f + 7. Let c be w(3). Solve -c = -3*l - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.181999388 - 0.182. Round v to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-212)\/(-36) - 4\/(-36))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*2 + 5)*-1)**2.\nAnswer: 200*sqrt(19) + 7625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6176 and 890116?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in -16.8905, 1\/3, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 206071635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/(f\/f**(-26)))\/(f**(-2\/7))**(15\/8) assuming f is positive.\nAnswer: f**(-881\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 4*u - 12. Let m be i(-8). Let x = 41 + m. Let a(v) = -v**3 - 4*v**2 - 3*v + 2. Let q be a(x). What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385 and 462?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 26*g - 45. Let b(s) = 17*s - 30. Let i(f) = -8*b(f) + 5*p(f). Let m be i(9). Let x = 72 + m. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*j - 114 = 0, 0*j - 4*j = -20. Calculate the greatest common divisor of o and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1771750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 - 37825980*a**4 + 8689269*a**2.\nAnswer: -60*a**2 - 907823520*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -861 divided by -6?\nAnswer: 287\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:58 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 3:01 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75824 and 14217.\nAnswer: 227472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*d - 9699 + 10207 = -16205 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 4\/7 (b) -4 (c) 247430\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2631\/(-5943) + (2 - (-65)\/(-35)). Let p = d + 4\/283. What is the closest to -6\/17 in -0.1, -2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79 and 78?\nAnswer: -6162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 386.9 and -2.22?\nAnswer: 389.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -372 + 376. Which is the biggest value? (a) -2\/7 (b) f (c) -0.54 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 - 3*z**2 + z**2)*(-46*z + 137*z - 26*z + 149*z) to w*z**2 + x + q*z + m*z**3 and give m.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.389489 minutes to days.\nAnswer: 0.01554825625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (10 - ((6 - 6) + 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22181, 88724, 199629, 354896?\nAnswer: 554525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.55128127 * 3.\nAnswer: 10.65384381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -4. Let z = o + -11. Let j(y) = 2*y**2 - 4. Let p(t) = -2*t**2 + 5. Give z*j(s) - 4*p(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45919645817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3405*k**3*z + 2769*z wrt k?\nAnswer: -10215*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -206 + 208. Solve 3*h = -5*t - 13, -l*t - 4 = -3*h + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89352 divided by -657?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) + sqrt(153) + (sqrt(153) - (-2 + sqrt(153))) - sqrt(153) - sqrt(153)) + -3 + 2 + sqrt(153) + -1)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -41. Is -1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*z + 35 = 0, -2*z - 8 = 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*r + 13*r - 7*r + 14*r as c*r + f and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*d + d - 404, -5*x = 5*d + 455. Let c = x + 99. Find o such that 0*o**5 - c*o**4 + 3*o**5 - 7*o**5 - o**4 + 8*o**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1546, 1547, 1548, 1549, 1550, 1551?\n\"Answer: v + 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37585.75 and -11726.\nAnswer: 25859.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1688 - 7891?\nAnswer: -9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + w + 13775 = 0, 18959 + 8555 = 2*b + 4*w. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**5\/240 + 23*u**4\/24 + 529*u**3\/6 - 70*u**2. Factor b(r).\nAnswer: (r + 46)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {w: 7, s: 3, i: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.263986961 + -5.264. What is x rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*k**3 - 415784*k**2 - 1543419900*k + 882090000.\nAnswer: -4*(k + 7425)**2*(7*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442765*t + 442765*t + 58 + t**3 - 58 - 2*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 332*d**2 + 2 - 72*d + 327*d**2.\nAnswer: -5*d**2 - 72*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -44980000 to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 5*g + 56, 58*g + 24 = 3*p + 61*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:26 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1415312768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*k + 3 - 5*k + 4 + 0 in the form t + f*k and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 7121\/100?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + (sqrt(140)\/sqrt(4) - sqrt(35)))\/sqrt(7) - ((3*sqrt(10)\/sqrt(2))**2 + sqrt(5))) + 2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448043 to the power of 1\/2, to the nearest integer?\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.1. Suppose 7 = -3*i - 5*g, -i = -0*g - 5*g + 9. Let o be (154\/i)\/7*2. Which is greater: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 + 0)*(4 - 3*s + 4*s + 0) in the form j*s + d and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-3)\/g))\/((((g\/g**(2\/11))\/g*g)\/g)\/g))\/((((g*g\/g**(10\/13))\/g*g)\/g)\/(g\/g**(-1\/21))) assuming g is positive.\nAnswer: g**(18014\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 3:02 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g + 5. Let j(p) = 215*p**2. Give j(n(a)).\nAnswer: 13760*a**2 + 17200*a + 5375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2. Let x be k(-1). Suppose 3*i + 28 = 5*i. Let l = i + x. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 408750*k**4 - 205025*k**2.\nAnswer: 9810000*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9523.275 weeks to microseconds.\nAnswer: 5759676720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-39))\/(56\/(-13832)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a kilogram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.01, 0.5, -12, 0.3, 168, -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31a (base 11) to base 16.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/769488 and -15\/5576.\nAnswer: 769488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 20 = 2*q. What is the units digit of (25\/10)\/(5\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42245?\nAnswer: 5, 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008438324 to six decimal places.\nAnswer: 0.000844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 152, -40, 1\/2?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (21 - 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n + 4*q = -4, 2*n + 24 = -4*q. Let a be (4 - (4 + 1)) + n. Let s(k) = -8*k**2 - 4*k + 6. Let p(z) = -7*z**2 - 3*z + 5. Give a*s(o) + 6*p(o).\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1407 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.9479 - 0\nAnswer: 0.9479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757*q + 9*q**3 - 757*q + 1514*q.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1389575 and 12551?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1397\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -136*u**2. Let v(g) = -1670*g**2. Calculate l(v(t)).\nAnswer: -379290400*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + 4 + -3 + -2*sqrt(2) + sqrt(2) + sqrt(4)\/sqrt(2)*5 + 1 + -2 + sqrt(242) + sqrt(242))**2.\nAnswer: -260*sqrt(2) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*s - 15*s + 438 = 61*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2341572628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 90*o**2 + 1297*o - 11. Give c(72).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1982.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1, 3.\nAnswer: -2\/9, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 20 = -f. Suppose -12 = -4*r - t - 3, 0 = -2*t + 2. Suppose -r*m = 2*m + 8. Sort m, 1, f.\nAnswer: m, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 + 223. List the prime factors of 1355\/3 - 90\/b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.256 + 328.744. Let s = k - 328.994762. Round s to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 15 - 84*f**2 + 45*f + 2 - 23 = 0.\nAnswer: 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 114 - 89 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12078 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 18*j + 28. What is the tens digit of k(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5872.378 nanometers to centimeters.\nAnswer: 0.0005872378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 26. Let z(y) = y. Let b be 46\/(-161) - 16\/(-7). Let k(c) = b*z(c) + g(c). What is the least common multiple of k(-16) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 341125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 40*v**2 - 114*v - 3965. What is j(45)?\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 g, and 1 f when four letters picked without replacement from szigfzwzzszfggg?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 4024?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 21*p**2 + 14*p**2 + 21*p**2 - 58*p**2. Let v(w) = -4*w**2 + 146. Determine g(v(h)).\nAnswer: -32*h**4 + 2336*h**2 - 42632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*i - 22 = 6*i, -2*i + 4 = 0. Suppose 32*c + 6*c**5 + p*c**3 - 20*c**4 + 32*c**3 - 18*c**5 + 80*c**2 = 0. Calculate c.\nAnswer: -2, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007127 is divided by 28775.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Suppose -10 = n - 3*n, -x*n - 10 = -h. What is the highest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2070*f - 16542. Determine i(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1029300 + 466830. What is o rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + 2*y)*(-7 - 53 + 9 + (0 + 2 + 0)*(1 - 2 - 1)).\nAnswer: 55*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217798 and 9870.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 - -14 - ((-3 - 2) + 6792\/686). Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/48 or -1?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*o + 1336*o - 658*o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*w + 9. Let b be 2\/(-6) - ((-1)\/(-6))\/(16\/(-32)). Suppose -12 = 2*c + c. Sort w, b, c.\nAnswer: c, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 16*x - 6. Let r(c) be the second derivative of 0 - c + c**2 - 5\/6*c**3. Calculate -10*r(u) - 3*w(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2398442 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2 or 8443?\nAnswer: 8443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*t - 2*t. What is the remainder when t is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**6\/60 + 569*p**5\/30 + p**4\/24 + 1569*p**3\/2 + 24*p**2 + 73*p. Differentiate j(q) wrt q.\nAnswer: -6*q**2 + 2276*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.524 + 437.524. Let v = i - 436.9999695. What is v rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825479 is divided by 206369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 - -0.37. Let i(v) = v**3 - 7*v**2 + 5. Let y be i(7). Which is the nearest to 1? (a) y (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262.39 - -262. Let q = 1.39 + v. Which is the second smallest value? (a) q (b) -1 (c) 3\/4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(252) + sqrt(28) - (sqrt(1792) + 0 - ((sqrt(252)*2 + sqrt(252) - sqrt(252))\/sqrt(9) - sqrt(28))))**2.\nAnswer: -96*sqrt(7) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -19*u**3 - 8*u**2 - 16*u - 27. Let k(q) = -31*q**3 - 14*q**2 - 32*q - 56. Give -5*g(d) + 3*k(d).\nAnswer: 2*d**3 - 2*d**2 - 16*d - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43128668 to the nearest integer?\nAnswer: 6567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 392872040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (13 - 5) - (-76 + 56).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/((-1128204)\/(-7030)) - (-2)\/77?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.58 + 0.08. What is the nearest to -0.1 in -0.1, 3, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 17*f - 812. Calculate x(48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 15. Let o be (-18)\/(3\/l + 1). Find the common denominator of 1\/3 - 251\/o and -7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98215 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15746, -15737, -15728?\n\"Answer: 9*n - 15755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*f - 136*f + 308 = 126*f for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 15*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/5 or -48.962?\nAnswer: -48.962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 25*((-28)\/(-5) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10201, -9267, -7709, -5527?\n\"Answer: 312*g**2 - 2*g - 10511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 + 3518*w\/11 - 63972\/11.\nAnswer: 2*(w - 18)*(w + 1777)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 - 108. Let n = -48.96 - m. Let i = -0.04 + n. Which is the smallest value? (a) i (b) -2\/17 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 14*q + 9. Let p be l(-6). Let n be (1\/p)\/(2\/(-12)*-1). Let i(o) = 5*o. Let x(r) = -6*r + 1. What is n*x(c) - 3*i(c)?\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**2 - 3*r + 6. Let k(v) = -4*v**2 - 3*v + 4. What is -4*h(o) + 6*k(o)?\nAnswer: -4*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15599464?\nAnswer: 2, 1949933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3 = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-614)\/(-4)*((15 - 13) + 0). Suppose -3*x + 664 - b = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4729658640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (60\/24)\/(15\/(-60))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (75\/(-100))\/((-1)\/4). Suppose 5*z + 2 = -3. Let m(r) = 6*r**2 - 1. Let u be m(z). Solve -2*v - 7*c + 16 = -x*c, -2*c = -u*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -2*i**4\/3 + 5*i**3\/6 + i**2\/2 + 176*i + 9. Let n(o) = 7*o**2 - 6*o + 3 + 2*o**2 - 5. Determine 3*n(b) + 4*z(b).\nAnswer: -5*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, -208, -610, -1180, -1924, -2848?\nAnswer: -3958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 20. Let d(p) = 35*p. What is w(d(n))?\nAnswer: 70*n - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 4\/7, -2, 36, 0.03, -0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Calculate f(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 71797.13mg?\nAnswer: 71797130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 2, -3.63, 14\/797?\nAnswer: 14\/797","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 261, 860, 2021, 3930, 6773?\n\"Answer: 31*z**3 + 2*z**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.18 + 0.52. Let p = z - 6. Let d = -232\/7 - -33. Which is the biggest value? (a) p (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/27))**25\/(n*n**(1\/50)*n\/(((n*n\/(n\/(n\/n**(-2\/23))))\/n)\/n*n)) assuming n is positive.\nAnswer: n**(-143971\/31050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46816174 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6aabb + 5?\nAnswer: 6ab04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227\/30 + -42\/5. What is the second biggest value in 0, 0.1, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 11*d - 179. Let c be w(20). Let a(t) = 36*t**3 + t**2 - 2*t. Let n be a(c). Is 6 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 144. Suppose 0 = -5*w + j + c, 0*j + 5*j - 90 = -5*w. Solve 3*g + w = 21 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 49*y**2 - 52*y + 358. Give u(48).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -3*t. Suppose -2*g + 11 - 3 = t. Solve 0 = g*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181 + -111. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -3\/5, -1\/4, 896.\nAnswer: -10, -4, -3\/5, -1\/4, 896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wovavwowaavowoaweee. Give prob of picking 1 a, 1 w, 1 v, and 1 e.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3668280109.\nAnswer: 13, 282175393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbbbrbbbrdrmxbbbb. What is prob of sequence ddx?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 4*w + 2*w - w - 1 + 1 + (-2 + 0 + 0)*(-3*w - 4*w + 6*w) + 314*w - 172*w + 2 - 161*w + (w - 3*w + w)*(-1 - 4 + 6).\nAnswer: -21*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -104 (b) -0.1 (c) -3\/2 (d) -2 (e) -2\/3 (f) 0.0206\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -21. Suppose -u*a + 410 = -6*a. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578158?\nAnswer: 2, 7, 61, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.43? (a) -6 (b) 5 (c) -58.5 (d) -0.1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 730215*d = -730210*d - 217, d - 245 = -5*f for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*y - 2*y**3 - 68*y + 6 + 12*y**2 + 137*y in the form p*y + c*y**2 + k + s*y**3 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*f + 75, 245*i + 6*f - 78 = 248*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/h**(-22))*h**(-6\/13)*h)**(-2\/19))**(-1\/8) assuming h is positive.\nAnswer: h**(-73\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 10 - (1 + -1)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, 2, -6312, 5, -0.12 in descending order.\nAnswer: 159, 5, 2, -0.12, -6312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 131357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 7*j - 5. Suppose -2*n = -0*n + 10. Let y(t) = -5*t**2 - 11*t + 8. Let w(f) = n*y(f) - 8*r(f). What is the second derivative of w(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7)\/(c*(c\/((((c**12\/c*c*c)\/c)\/c)\/c)*c)\/c))**(-6)*((c\/c**(-2\/9))**(-9\/8))**(-33) assuming c is positive.\nAnswer: c**(-99\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**2 + 280. Let j(f) = 4*f + 9. What is j(z(v))?\nAnswer: -8*v + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190666683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4819553520 to the nearest integer?\nAnswer: 69423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -11 - -10) + 4 - 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klac when four letters picked without replacement from {k: 1, l: 1, a: 1, c: 2, q: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 207, 289, 347, 375, 367, 317, 219?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - 2294.68?\nAnswer: -2293.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*-2*(sqrt(228) - 5*sqrt(228) - sqrt(228)))\/((1*(-2*sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108))\/(-5*sqrt(45)\/sqrt(5))).\nAnswer: 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5148 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1222 + 250 = 23*b. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 108\/14 - 2\/(-7). Let j(m) = -m**2 + 17*m + 5. Is j(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32498686 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91185*o**2 - 932*o - 8?\nAnswer: -182370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 1 m when three letters picked without replacement from ojmmdndoy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1528 + -1518. Calculate the lowest common multiple of (6\/(-5))\/(2\/(-230)) and f.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -889314 to the nearest ten thousand.\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 18. Let h be t(22). Let y = h + 36. Let i = 4 - 2. What is the highest common divisor of i and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 61.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-3) - (79 + -1)\/1. Let c = i - -81. Find a, given that -2\/11*a**c - 2\/11*a**2 + 2\/11*a + 2\/11 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 428 divided by 98.\nAnswer: 214\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02618 - 61786.02618. Let c = s + 61837.047. Let p = 51 - c. Round p to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1616 - -24?\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 - 3*z**2 + 0*z**2 - 3*z**2 + 5 in the form f*z + o + k*z**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -4. Let k be 3*(t + 1 + 7). Suppose -q + 74 = k. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1633943 is divided by 84.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 + 117*o - 423. Calculate d(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*z = -z - 17, -2*a + 2*z - 6 = 0. Let c(o) = 8*o**2 - 5*o + 1. Is c(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-16))\/(8\/(-32)*1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) -249 (c) 0.1 (d) -2 (e) -58 (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 52*f - 111. Let x be b(6). Suppose -14*m = x - 593. Calculate the remainder when m is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1. Let q(z) be the first derivative of 5*z**4\/4 - 25*z**3\/3 + 10*z**2 + 10*z - 16. Let a(j) = -10*m(j) + q(j). Solve a(t) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 443, 1545, 3309, 5735, 8823?\n\"Answer: 331*k**2 + 109*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**2 - p**3 - 2*p**2 + p - p**4 + 0*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (11 - 3 - (-15 + 6))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 320590325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 2422.9?\nAnswer: -2419.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 387962*s\/3 - 258644\/3 = 0. What is s?\nAnswer: -64661, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 358*y**3 - 413*y**3 + 2 - 18*y**2 + 19*y**2 as v*y**3 + u + p*y + h*y**2 and give v.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285510748.\nAnswer: 2, 647, 110321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 4. Let f be q(5). Let m = 8 - f. Let r(n) = 7 + m*n + n - 5*n. Calculate r(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -18*g. Let x = -10 - -5. Let r = x + 5. Solve g*t + 4*t + 45 = 5*j, r = -5*t - j - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2304, -2143, -1982, -1821?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 8 + p - p.\nAnswer: 5*p**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3687\/2 - -1843. Sort -2\/3, 1, c, -0.4, -113 in decreasing order.\nAnswer: 1, -0.4, c, -2\/3, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 8. Suppose -f*g = -g - 20. Suppose 5*k - i = 1254, g = -i + 5*i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 - 136 - (0 - (1 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k**4\/3 + 8726*k**3\/3 - 904310*k**2\/3 - 685316*k\/3 + 75904 = 0 for k.\nAnswer: -1186, -1, 1\/4, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-c**4 + 150*c**5 - c**4 - 154*c**5).\nAnswer: -8*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + l - 4 = 7*y, 4*y = -3*l + 12. Let u(v) = -19*v**2 - v - 12. Let p be u(-3). Let c = p + 184. Solve -c*f = -3*d - y*d + 9, -3*d + 6 = -3*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172352594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = 0, 4*g - g = 2*x - 4871. What is the highest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6310.48 - 6420. Let j = -107 - q. Round j to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*o - 1328 = -g + 324*o, 2*g - 2662 = -5*o. List the prime factors of g.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/3))**(-38)*c**2*c**(-1\/5)*(c\/c**(-2))**(-14)\/((c**(1\/12)\/c)\/(c\/c**(-2\/5)*c)) assuming c is positive.\nAnswer: c**(-3733\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 6:06 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 13 + -7 + -7 + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -19. Suppose 2*u + p*u - 12 = 0. Factor n**2 + n - 8*n**u - n - 4*n**4 - 5*n**2.\nAnswer: -4*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*q = -70, 11 + 31 = 3*r - 3*q. Suppose 12 = r*s - 11*s. Which is greater: 14\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2442 + 2442.10963. Round n to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 57. Let i(h) = h**2 + 3*h - 5. Let f be i(-5). Suppose q = f*q - 32. Solve 0*p = -j*p + q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 = -6*j + 92. Suppose 0*q - 5*q = 0. Let m = j - q. List the prime factors of m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14065126.\nAnswer: 2, 47, 149629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y - 1119847 = -51619. Is y a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/2917 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -0.1. Let y = -0.2 - f. Let d(l) = l + 2. Let j be d(-6). Which is the nearest to 2\/7? (a) y (b) -4\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 1001*n**2\/2 + 1002001*n\/4.\nAnswer: n*(n + 1001)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798744.1 millilitres to litres.\nAnswer: 798.7441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 3*l + 5. Let i be o(2). Let h = i + 0. Suppose -2 - h = -x. Which is the smallest value? (a) x (b) 2\/7 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d + 81. Let t = d - -31. Calculate the least common multiple of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*s + 26. Solve -7*z = -s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/123 + -1345\/492. What is the common denominator of (-21 - 1)*5*(-1)\/14 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 1. Let s(h) = 3*h + 3. Let u(l) = 3*s(l) + 8*z(l). Let i(w) = -6*w - 4. Determine -2*i(p) - 10*u(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 15*j - 11. Let g be i(-14). What is the highest common divisor of 48 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27979 - 13651. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p - 50*p + 1388 = 0. Is (6 - p)\/((-1)\/(-2 + 1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 0 + 0)*(922 + 623 + 360) + 4 - 4 - 2*i.\nAnswer: 7618*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-640))\/(((-7)\/3 - 1)\/(-1112)). Is 22 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 17?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 13, -6, -43, -98, -171, -262?\n\"Answer: -9*f**2 + 26*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Suppose -y + 15*l - 12*l + 16 = 0, -l - 2 = 3*y. Let g(c) = -2. Give y*g(a) + 2*h(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 443695*r**2 + 443700*r + 2. What is t(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 12. Let x be (-30)\/(-4)*z\/5. Let f(v) = -v**3 + 6*v**2 + 3*v + 2. List the prime factors of f(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-72))\/((-119)\/136)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 4*h + 93. Let z be x(11). Let c(d) = 9*d**3 - 2*d**2 + d + 2. Let o be c(2). Calculate the greatest common divisor of o and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + 4*z)*(10*z - 6 - 21*z + 20*z).\nAnswer: 36*z**2 - 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -75, -106, -131, -150, -163?\n\"Answer: 3*g**2 - 46*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 168 - 167.9. What is the third biggest value in b, -2\/13, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3649708597?\nAnswer: 17, 79, 263, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 112031342?\nAnswer: 112031324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**2 - 5. Let d(z) = 8*z**2 + 6. Determine -5*d(w) - 6*g(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:05 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 6, c: 2, p: 1, h: 3}. What is prob of sequence mc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*l = -4*l + 21850, -2*d = -2*l - 21834. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 1\/7, -12, -0.4, 0.2, 16.3, 2\/11?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 2*z - 67 + 136)*(3*z + z - 3*z).\nAnswer: 2*z**2 - 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.1, 0.07, 6, 0.2, 15\/174944?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 34*l - 30*l - 93, -c + l - 12 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -75695 divided by -15139\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135254*p + 95 = -135235*p. Let f(m) be the second derivative of 0 - 1\/10*m**p + 1\/6*m**4 + 21*m + 0*m**3 + 0*m**2. Factor f(c).\nAnswer: -2*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 76. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(1\/4)*h*h*h\/(h**1*h)*(h**(-1))**25 assuming h is positive.\nAnswer: h**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8822 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 131 = 5*q, -b - 4624640*q - 68 = -4624635*q for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5276.\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1100 divided by 55\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7974?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**3 + 20980*h**2 - 49025*h + 14010.\nAnswer: 5*(h - 2)*(h + 1401)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 4627.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 59.876. Let z = -7.024 - c. What is z rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -671, -2689, -6063, -10793, -16879, -24321, -33119?\nAnswer: -43273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.77 * 2.76.\nAnswer: 49.0452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-5))\/(18\/(-45)). Let t be 2\/(-60) - d\/(-54). Do t and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3*g + 1696. Let m be g\/(-14) + (-2)\/(-7). Let o = m - -42. Calculate the greatest common divisor of 36 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1\/3, 2\/13, -15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60269 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 725976*m - 2903936.\nAnswer: 2*(m - 4)*(m + 362992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -191793, -383136, -574467, -765780, -957069, -1148328, -1339551, -1530732?\n\"Answer: x**3 - 191350*x - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -42d72 (base 16) to base 6\nAnswer: -5511254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*o - 0*o + 10, -5*o + 5*p = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/509?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -493 - -555. What is the remainder when 92 is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118779 and 411.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 2)*(-1 + 0 - 2)*(4 - 2 + 3)*(2*r**3 - r**3 - 2*r**3) + 210*r**2 - 25*r**3 - 210*r**2 in the form w*r + g*r**3 + m + v*r**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/132*(-142)\/2 and -139\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 203, 444, 779, 1208, 1731?\nAnswer: 2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 135?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (235\/((-296335)\/388))\/(-34).\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/11 + -39\/22. Let d = -4.82 + -2.18. Which is the smallest value? (a) l (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 112*a**4 - a + 108*a**4 + 3*a - 4*a + 2*a**3 to the form v*a**2 + z + w*a**4 + i*a + n*a**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 312*b + 1884. Let n be c(-6). What is the highest common divisor of 2181 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -373, -369, -363, -355?\n\"Answer: t**2 + t - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Is 389790 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 30*f**2 - 2*f + 1249. Let z(m) = -7*m. Calculate p(z(o)).\nAnswer: 1470*o**2 + 14*o + 1249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 14, -126, 3202 in ascending order.\nAnswer: -126, 0, 2, 14, 3202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1966 - 1312. Suppose 0 = 22*l - 28*l + k. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2670*v + 338. What is the tens digit of y(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3 - 1798*i**2*o - 59*i*o + i wrt i.\nAnswer: 12*i - 3596*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 23*a + 18. Let f(s) = -16*s - 12. Give -7*f(c) - 5*p(c).\nAnswer: -3*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 0.4. Let d = 0.2 - u. Let x = 0 - 0.4. Which is the nearest to d? (a) 2\/7 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4932, 19773, 44540, 79251, 123924, 178577, 243228?\n\"Answer: 3*q**3 + 4945*q**2 - 15*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2)*(-16 - -13)*3 - (-2 - -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*l*o*s**2 + 21*l*o - 3*l*s**2 - 779*o*s - 4*s**2 - s wrt l?\nAnswer: -36*o*s**2 + 21*o - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 4488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 116624117 greater than 116624117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 76 - 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v + 3 + 0 + 2*v**2 - 7 - v**2. Let z(a) = -a**2 - a. Let c be z(-3). Determine d(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)*h)**6\/((h\/(h**(-2\/19)*h))\/((h\/(h**(-7)*h*h))\/h)) assuming h is positive.\nAnswer: h**(169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -61*d + 9. Give s(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzbzzbzzzzzzzzzbzz. What is prob of sequence zzz?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 804 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 915*b - 966*b + 244647. List the prime factors of b.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -583\/10 + 1081\/20. Suppose -8*f = 4*r - 3*f + 16, 5*r - 3*f + 20 = 0. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138884439 to the power of 1\/2, to the nearest integer?\nAnswer: 33747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2885 or 43268\/15?\nAnswer: 43268\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 3, n: 2, x: 1, s: 1, o: 3}. What is prob of picking 1 o and 1 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -80*s. Let w(y) = 13*y**2. Calculate w(f(b)).\nAnswer: 83200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175142, -699710, -1573990, -2797982, -4371686, -6295102?\nAnswer: -8568230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 9*t - 10. Let p(m) = -m - 11. Let g be p(-14). Suppose -t*j + 5*r + 61 = g, -5*r = 4*j - 116. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 438*j + 435*j + 5 = 0, 2*l + j = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(10\/(-35) + 8\/14 - (-234476)\/5621).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -503 - -1211315?\nAnswer: 1210412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t = -25*t - 45. Let s = 16.2 - 16. Which is the nearest to -2\/5? (a) t (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2695 and 2905?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(300) + sqrt(300)*3 + -2)*2)**2 + -3.\nAnswer: -2400*sqrt(3) + 270013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4287*h**4 + 1 - 4322*h**4 - 24*h + 23*h - h**2 - 80*h**3 as d*h**4 + g*h + s*h**3 + m + i*h**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -17*o + 1122. Let d(z) = 2*z - 66. Let m(a) = 17*d(a) + r(a). Let h(y) = -3*y**2 - 136*y. Determine h(m(v)).\nAnswer: -867*v**2 - 2312*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/5 + (-1)\/5. Suppose -2*o + i = -3. Let g = 12 + 4. Solve 2*q - g = -o*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + n - 1)*(2*n + 0*n - 4*n) + 17*n**2 - 2*n**2 + 0*n**2 as k + q*n + c*n**2 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -1. Suppose -41 = -2*s + l. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 406868 + 2.\nAnswer: 406870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**2 - 6*k - 3. Let r be b(5). Suppose 4*i - i - 77 = -g, 5*i + 3*g = 131. Solve -t - r*t - i = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 110, -20, 4 in descending order.\nAnswer: 110, 4, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:00 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -665, -1011, -1375, -1763, -2181, -2635, -3131?\nAnswer: -3675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 15*h**2 + 2*h - 27. Let b be u(15). Suppose 0 = 3*q - 9 + b, -q + 7606 = 4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*z - 185 = 0, -2*j + 65 = -0*j - 3*z. Let g = -21 + j. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 430 = 2*s - 420, 0 = 3*s + 11*u + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*b**4*f**2*k**2 + b**4*f + 2*b*f**2*k**2 - 51*b*f**2*k - b*f**2 + f*k wrt b.\nAnswer: 912*b**2*f**2*k**2 + 12*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/4 - (-4)\/(-16). Suppose v = u + 23, -2*v = a*u + 7 - 68. What is the remainder when v is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29403*m**2 - 319*m - 125 wrt m.\nAnswer: -58806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 179.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 248, 2\/13, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**2. Let t(f) be the second derivative of 2*f**3\/3 - 10*f + 6. Calculate t(o(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342782906 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-21)*((-2)\/12)\/((-2)\/36)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 95 (b) -0.3 (c) 8\/1465 (d) 0.4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 0*h**2 + 6*h**2 + (-23*h + 44*h - 14*h)*(-1 - 1 + 5)*(-5*h + h + 3*h) to n*h**2 + y + z*h and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpwf when four letters picked without replacement from {k: 2, f: 2, d: 1, w: 3, p: 6}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (22 + -7)) + -28.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*a + 5*i - 5, -2*a = -2*i - 14 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -39*i - 239. Let x(k) = -6*k + 1. Give o(m) - 6*x(m).\nAnswer: -3*m - 245","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*k = 2*k + 621, 0 = j + 2*k - 149. Suppose -5*b + t = -2*b - 477, b = 3*t + j. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 t, and 1 l when four letters picked without replacement from iylritt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -106*((-3)\/3 + 5\/10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7471374.3 rounded to the nearest 10000?\nAnswer: 7470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17579, 21369, 27685, 36527, 47895?\n\"Answer: 1263*m**2 + m + 16315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 85. Let t = 56 + m. What are the prime factors of -13 + 125 - t\/(-1 - 1)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13146360?\nAnswer: 2, 3, 5, 71, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2492 and 534.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.21 != 0.741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (177\/649)\/(12\/308)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (25\/(-5))\/(-1) + -1 + 1. Suppose 0 = b*l + 2*n - 10, 0 = -3*l - 7*n + 12*n - 25. Solve -2*m = l, 0*m = -4*y - 2*m - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(20\/12 - 2) - 57. Let a be ((-1)\/(-1))\/(o\/(-64)). Factor 0*j**3 - 12\/7*j**2 + 4\/7*j**4 - a*j + 0.\nAnswer: 4*j*(j - 2)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 46. Suppose -t*d = 12 - 3. What is the closest to -5 in -0.2, -1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28871965?\nAnswer: 5, 29, 83, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 287b - 4?\nAnswer: 2877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 19*r**2 + 2*r - 24. Determine x(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 3*f**4\/4 + 4*f**3\/3 - 3*f**2\/2 + f + 3. Let g(h) = 4*h**3 + 5*h**2 - 4*h + 1. What is -4*g(o) + 5*v(o)?\nAnswer: -o**3 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 588131417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-40 - -16) + 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/7*j**4 - 10\/7*j**3 + 2\/7*j**5 - 64\/7*j + 24\/7 + 54\/7*j**2 = 0. Calculate j.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 0*h**4 - 5\/3*h**6 + 0*h**2 - 7\/3*h**3 + 0*h**5 - 10 + 0*h. What is the third derivative of s(o) wrt o?\nAnswer: -600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u + u**3)*(-48 + 64 - 34) to c*u**2 + z*u**3 + b*u + w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13930131?\nAnswer: 3, 409, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1695a80 (base 12) to base 3.\nAnswer: 22210112221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7032024 and 452556?\nAnswer: 91416312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 5*m + 5. Let b(q) = -6*q**2 - 14*q + 14. Let f = 24 + -10. Let k = 29 - 34. Let y(o) = f*a(o) + k*b(o). Let v(i) = 2*i. What is y(v(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98*c**5 + 69*c**2.\nAnswer: 5880*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 m, and 2 a when four letters picked without replacement from kkkppkmpakkkpkpkp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 + 9*b**2 - 6*b - 1. Let z be i(-7). Let t = 470 - z. Find the common denominator of t\/(-54) - 4\/2 and 47\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/113)*u*u**(2\/15) assuming u is positive.\nAnswer: u**(1951\/1695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (-5 + 1*sqrt(1584))) + 3)**2*-5.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 2\/2363, -0.3, 2\/11, 4, 3 in ascending order.\nAnswer: -6\/7, -0.3, 2\/2363, 2\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1daec0 - 4?\nAnswer: -1daec4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4 = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 9963392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**3 - 4*p**2 + p - 4. Let c = -15108 - -15105. Let f(j) = 9*j**3 - 7*j**2 + 3*j - 8. What is c*f(n) + 5*w(n)?\nAnswer: -2*n**3 + n**2 - 4*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(60)\/(sqrt(8)\/sqrt(4)))\/(sqrt(490) - -3*sqrt(490)).\nAnswer: 3*sqrt(3)\/14 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01121 - -0.03879. Put -3, d, 0.5, -1\/4, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, d, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:02 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2227*d**5 + 727*d**2.\nAnswer: -133620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = u + 2 + 4, 2*j = -5*u + 4. Let q(t) = -14*t - 5. Let o be q(-2). Let z = -21 + o. Solve 5*p + 2*s + 25 = 0, p - z*s - 9 = -j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952142 is divided by 149?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from cllxccccclxlc?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 5, -2256, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -502 + 502. Let m(a) = -a - 1. Let i(p) = p + 6. Let c(h) = -i(h) - 2*m(h). What is c(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 j, 1 s, and 1 h when four letters picked without replacement from {j: 3, i: 1, r: 1, z: 5, h: 2, s: 1}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrjatjraajtj. Give prob of picking 1 l and 2 r.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 285 and -0.2228255.\nAnswer: -63.5052675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*-2 + 3585. Suppose 4*g - 2*k - 2*k = -y, -g + 2*k = 892. Round g to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 0.5 (c) -5\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-8) + ((-984)\/64 - -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 650611 divided by 1.\nAnswer: 650611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-8)*x*x)**(-42)\/(x**16\/(x\/(x*x**(-1\/4)\/x*x))) assuming x is positive.\nAnswer: x**(609\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 694795329 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(5\/(-4)) + 1. Let r be k*7*(-48)\/72. Suppose 5*w + 39 = 4*v + r, -2*v = 5*w - 35. What is the greatest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 + -467. Let p = -279.8 - i. Let o be -4 + 2 + 8\/5. Which is the nearest to o? (a) p (b) -6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h*n*u + 4*h*n - 49*h*u*x**2 - 2*n*u*x**2 - 4*n*x - 10*n wrt h.\nAnswer: 5*n*u + 4*n - 49*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, n: 10}. Give prob of sequence ncc.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a - 116*a + 348 = 0. What is the greatest common divisor of a and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 108 = -18*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (112\/(-132) - (-30)\/165)\/(16\/6). Which is the nearest to v? (a) 5 (b) -1\/4 (c) 16 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.018 - 0.118. What is the closest to z in -2\/9, 0, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9*a**3 - 2*a + 2. Determine t(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.0395789 rounded to 2 decimal places?\nAnswer: 176.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12298?\nAnswer: 2, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 260 = 375. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9*t - 4*t - 28 = 0, -5*t = -20. Let y(u) = 1 + 3 + 5*u**3 - 3*u**2 - 1 - i*u - 4*u**3. Let j be y(4). Which is smaller: j or 13\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16505 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c\/((c\/c**(2\/11))\/c)))*c\/((c*c*(c**(2\/3)\/c)\/c)\/c*c)*c*(c\/c**(-6))\/c*c*c*c*c*c*c**(-6))\/(c**(-10)*c**(-1\/3)*c)**(-19) assuming c is positive.\nAnswer: c**(-1879\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.03 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1. Suppose 207*v + 55 = 212*v. Let n(s) = v + 4187*s - 4186*s - 2. What is n(q) - 5*x(q)?\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20231015 (base 7) to base 6\nAnswer: 100104002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944682543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajjjajajjaaajajajj. What is prob of picking 2 a?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by 433.\nAnswer: -125\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -90*v + 91*v + 12, 0 = 3*v + 2*o + 32 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 81*s**2. Let u(g) = -26*g**2. Determine c(u(l)).\nAnswer: 54756*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-4)*30\/(-25). Factor -22*u**3 + 0*u + 0*u + t*u**5 + 25*u**3 + 6*u**4.\nAnswer: 3*u**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*y - 520893 = 283284. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -76, -101, -110, -97?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13387 + 967.\nAnswer: -12420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 24 = -3*g, -3*m + 2*g = 6 + 11. What is the units digit of (-40)\/(m\/(-9) - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 37*f**2 + 72*f - 100. Calculate o(35).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 47\/((-188)\/(-2520)) - 7. Calculate the highest common divisor of q and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(g**3 - 186*g**2 - g**4 + g + 186*g**2) + (-15*g**3 + 7*g**3 - 4*g**3)*(0*g + g + g) as d + z*g + s*g**2 + p*g**4 + l*g**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t**2 - 14*t - 21. Let p be d(-6). Suppose p - 2059 = -4*u - 5*n, 5*u + 5*n = 1950. List the prime factors of u.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.69 or -482609?\nAnswer: -482609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:20 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*y = -2235, 7*y = 5*n + 3*y - 2230. Is 38 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 11 - -1) + -9 - -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 8. Calculate the remainder when (170\/20)\/(v\/8) is divided by 1\/(1\/((-36)\/4*-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127833*-31\nAnswer: 3962823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 1:45 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2285182 is divided by 76167?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6923085630 to the nearest 100000.\nAnswer: -6923100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100736755?\nAnswer: 5, 7, 37, 107, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 0, -10, -26, -48?\n\"Answer: -3*f**2 + 5*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(52) - (sqrt(13) + (5 + sqrt(208) + sqrt(13) - sqrt(13))**2 + sqrt(13)).\nAnswer: -238 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o + 346 - 202 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 3 - (-201 + (-126 - -377))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 20797.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 13. Let f be g(9). Suppose 2*l + 5*o - f = 2, 2*l - 15 = 3*o. Calculate the greatest common factor of l and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011113131 + -111?\nAnswer: 3011113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)*q**7)\/((q\/(q**(-26)*q*q*q))\/q*q*q\/q**(-11)))**(-2\/7) assuming q is positive.\nAnswer: q**(178\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*p = -p - 5, 2*n - 13 = -5*p. Let f(w) = 3*w**2 + w**2 + 2*w**2 - 5*w**2. Let z be f(-1). Sort z, 3, n, 5 in decreasing order.\nAnswer: 5, n, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*m**3 + 5*m**3 + 4*m**3 - 4*m**3 to the form b + w*m + x*m**3 + y*m**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 339. Suppose -305 - b = -3*s. Let o be s\/((-1)\/1 - 0). What is o rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -3.23, -2\/93?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**3 - 12*g**2 + 11*g - 16. Calculate p(-6).\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from unnnnnuununnnn?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16952059 - 16952059 + 9*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**4 - 2*n**3\/3 + 9*n**2\/2 + 9*n + 41. Let d(y) = 9*y**3 + 3*y**2 - 19*y - 18. Let m(l) = 3*d(l) + 7*o(l). Determine m(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:07 PM?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 3*m + 5. Let v be u(-4). Let z be ((-56)\/21)\/(2\/(-12)). Let h be -2*4\/(-16)*z. Is h smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 0*y - 6*y + 17*y - 17*y**3 - 10*y. Determine d(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) 2\/7 (c) -191.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/24 and (-122*1\/(-2))\/(-2) - 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 34, 3, -2, 37 in ascending order.\nAnswer: -2, 3, 34, 37, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -46?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1846 - -1273. Let d = k - -601. Solve -d*r = -33*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22225 divided by -1\nAnswer: -22225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1200 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 - 21*b**2 + 253*b\/5 - 30.\nAnswer: (b - 50)*(b - 1)*(2*b - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*u - 3*i, -31 = 4*i - 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nini when four letters picked without replacement from {n: 6, i: 2, e: 11}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = 41. Let s be (a\/20)\/(2\/590). Is (-3)\/15 + s\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -87)\/((-4)\/(-6)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -89, -160, -233, -308, -385, -464?\n\"Answer: -c**2 - 66*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -8158969.4?\nAnswer: 8158968.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3562 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1340836, -5 in ascending order.\nAnswer: -1340836, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -389?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 3. Let h be l(-2). Let g(p) = p**3 + 9*p**2 - 10*p + 2. Let n be g(-10). Solve 18 + 10 = 5*c - n*q, h*q = c - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -35*q - 2. Let t(s) = 176*s + 11. Let k(z) = 11*g(z) + 2*t(z). Let u(a) be the first derivative of 2 + 0*a**2 + 0*a + 2\/3*a**3. What is k(u(y))?\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/14 - (-4)\/14. Suppose -3*l = -l - 6. Find the third derivative of 0*i**3 - i**6 + j*i**2 + i**l - i**3 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7899.253 to the nearest 100.\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (1 - -5) + 39 + -12 - 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 27 - 14 - 6255*j - 1058*j.\nAnswer: -7313*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172885*a**5*h + 1917*a**2 - 44*a*h wrt a.\nAnswer: 10373100*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 13*o**2 - 15*o - 9. Let f = -36 + 24. Let z be j(f). Calculate the common denominator of 79\/2 and (14\/66)\/((-6)\/z).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(0 + sqrt(175)) + -2 - (sqrt(448)*2)\/((sqrt(16) + sqrt(144))\/sqrt(4))).\nAnswer: -7*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.32 + 0.08. Let f = -0.82 - 0.18. Which is the biggest value? (a) f (b) -5\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*n + 3340075 - 3334927 = 0 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 10. Let o = 6713 + -6679. Calculate the remainder when o 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 19\/32 and (-111)\/((-6)\/54 + (-125)\/9).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8337989km to micrometers.\nAnswer: 833798900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 508287 + -508284. Factor 5\/6*n**v + 0 + 1\/6*n**2 - 1\/6*n**4 - 5\/6*n.\nAnswer: -n*(n - 5)*(n - 1)*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 4:59 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, 5, -0.2, 2\/3 in descending order.\nAnswer: 5, 2\/3, 3\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 13*m**2 - 9*m**2 + 5*m**2.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.33513 and -35?\nAnswer: 11.72955","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3*k*k**(1\/5))\/(k*k**(-1\/4))**38*(k**(-2\/23)*k)\/k*k\/k**7*k**(-2\/5)*k**(-1\/7) assuming k is positive.\nAnswer: k**(-48187\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t + 4. Let l be v(-4). Suppose -5*h - l = -3*o, -h = 2*o - 4 - 0. Suppose o*k - 78 = 2*u, 4*u + 33 = -5*k + 150. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -232 + 4370. What are the prime factors of k?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2171 + 1.2171. Let b = 108 + -754\/7. What is the smallest value in b, p, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17502.\nAnswer: 2, 3, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -17. Suppose 3*l = q - 4. Suppose -y - l + 3 = 0. Are y and -1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 1, q: 17}. Give prob of sequence gqq.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 286198*x**2. Let r(n) = 2*n. What is r(k(v))?\nAnswer: 572396*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2560 + -4603. Let r = q + 2043.00827. What is r rounded to 4 dps?\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-21)*v)\/v**(1\/14) assuming v is positive.\nAnswer: v**(-267\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22380 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2\/7 - 67290*d + 2641300725 = 0.\nAnswer: 78505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6215\/77)\/(-5)*(-14)\/60 and -1*127\/18 + 1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -692 + 494. What is the remainder when (-39960)\/h - (-2)\/11 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 200?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llpp when four letters picked without replacement from llpllppllllppllppppp.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 848 and 22?\nAnswer: 9328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17719, -35432, -53145, -70858?\n\"Answer: -17713*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17884 divided by 4.\nAnswer: 4471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 14, -0.026, -2\/7?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjyjjyyjjjjyjjjjj. Give prob of picking 3 j and 1 y.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26527 divided by -8209?\nAnswer: -26527\/8209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35387 + 35365.951. Let r = c + 0.049. Let p = 20.99895 + r. Round p to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -j - 22*j. Solve 5*i - 4*u = 0, 0 = -6*i + i + 2*u - j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-830))\/((-114)\/570)*((-3)\/(-1))\/6?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282826\/147 + 3\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-7))\/(9\/42). Let n be ((-3)\/(-6))\/((-2)\/j). Sort -4, n, 5 in increasing order.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, l: 10, j: 1}. Give prob of picking 1 l and 3 g.\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 1656?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3619581759 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 2*a - 4*a + (0*a + a + 0*a)*(0 - 2 + 1) - 2*a + a - a - 5*a + 3*a + 4*a + 0*a - 3*a + 2*a + (-2 - 1 + 1)*(1 + a - 1).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 7*x**2 - 8*x + 5. Let t be u(-8). Let c be (t\/15)\/(2\/138). What is the highest common divisor of 161 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830873433 to the power of 1\/2, to the nearest integer?\nAnswer: 42789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -13 - 0 - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -11 + (-1101928)\/(-905)*5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39069 - 27162 = -27*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + 10 - (97 + -70)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57305740 and 102210?\nAnswer: 171917220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 424 + -159. Suppose -2*s - t = -7*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 308*x - 181. Determine w(1).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 302 - 2068. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Let p = 5.2 - d. Put -2, -4, p in decreasing order.\nAnswer: p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-52))\/(-77 + (-318190)\/(-4136))?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.4 - -5. Let l = b + -0.6. Let t = l + -0.5. What is the nearest to 1\/4 in t, 4\/3, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -16, -104, -280, -574?\nAnswer: -1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 185920*1\nAnswer: 185920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, 5, -6, -5, -36, 2.\nAnswer: -36, -6, -5, 0, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -434, -3, 0.66?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 24*p - 29*p + 15, 0 = 4*m - 5*m + 5*p - 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/3 + 22*u\/3 - 16 = 0?\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1735 or 1734?\nAnswer: 1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 3, v: 1, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/16*16\/84.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8798 is divided by 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151358 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28876826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -72, -92, -110, -120, -116?\n\"Answer: f**3 - 8*f**2 + f - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 6. Let f be s(-2). Suppose -12 = -u - y, -7*u + 6*u - f*y = 0. Solve 5*w + 3*v = -u, 0 = w - 2*w - 4*v - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.9 - -9. What is the closest to z in -2\/7, 3, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 533650 + 4?\nAnswer: 533654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 163 (c) 4 (d) -2\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/30 - 55*l**4\/12 - 433*l**3\/6 + 7*l**2 + 1. Differentiate w(c) wrt c.\nAnswer: 4*c - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49c682 + -3?\nAnswer: 49c67d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 785.898? (a) 3 (b) -4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122223 (base 4) to base 3.\nAnswer: -2100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 3783.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = 2*o, -o = -4*p - 3*o + 22. Which is greater: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * -0.106.\nAnswer: 0.2014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)*y*y)\/(y\/(y\/(y\/y**22)))*y\/y**(-33)*y**(-2\/23) assuming y is positive.\nAnswer: y**(1010\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1 + -5) + 858\/(-276). Which is bigger: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 - 15) + (28 - 1). What is the greatest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h + 7. Is g(8) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 7*w**2 - 3*w + 10. What are the prime factors of j(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3932702387?\nAnswer: 251, 15668137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.4, -14\/3, 4, 3\/13, 0?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:51 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594 = 5*t + 936. Let k = 667 + t. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((4\/30)\/(582\/4365)) + 31.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 21. What are the prime factors of 20\/(-12)*(-36)\/m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12352 + 914 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*h - 1. Suppose -4*z = -5*w + 21, -16 = -4*w + 26*z - 23*z. Let b = 45.07 - 45. What is the closest to w in h, b, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.659 + -0.159. Suppose -3*v = 3*v + 12. Which is the nearest to -0.1? (a) v (b) 1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.906429 centuries in months?\nAnswer: 9487.7148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 6:46 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 4698.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -10 - 5. Suppose 2*d - 4*d - 3 = v, -v = l*d + 3. Suppose 4*h = m + 225, d = -3*h + 4*m + m + 190. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -1) + (-770 - -781) - 25?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7317049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 56 - 2*q + q**3 + 61 - 114 - 2*q**2. Let s = -6 - -12. Suppose 0 = -2*m + s, 2*m - 11 - 10 = -5*l. Give x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 3*u. Suppose u*v - 4 = 1. Suppose -5459*q = -5472*q + 13. Calculate the remainder when v is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2998195 divided by -2389.\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z + 4*z + 3*z)*(-2 + 2 + 2*z) + (113*z - 2682 + 2682)*(3*z - 4*z - 3*z) to the form h*z + c*z**2 + q and give c.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46358, 92700, 139032, 185354, 231666, 277968, 324260?\n\"Answer: -5*a**2 + 46357*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.7 + -31.8. What is the closest to -5 in 3, p, 0.2, -18?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a. Let t = -35 - -38. Let l(k) = -2*k + 0*k + t*k. Give l(y(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -2*r**6\/15 + r**5\/5 + 2*r**4\/3 - 160*r. What is q in x(q) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1665198829 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 314368018337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -496, -737, -978?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 13 = a, -2*a = -8 - 2. Suppose -p - 3000000 = -w, -4*p = -0*w + c*w + 12000000. What is p rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35 - 13*y**2 - 12*y**2 - 7*y**3 + 14*y**2 + 37 + 82 with respect to y.\nAnswer: -21*y**2 - 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -223 and 0.2.\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -148 + 253. Calculate the remainder when a is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from taja?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-5 - (-2 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.7 and 830.\nAnswer: 827.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -39160 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 15, -17, -83, -195, -365, -605?\n\"Answer: -2*l**3 + l**2 + l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -253.0000151 + 253. Round c to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 181*z**3 + 13*z**2 - 17*z + 70. Is 15 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2874 + -2.18\nAnswer: 2871.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3284*n + 30879. Calculate z(-10).\nAnswer: -1961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120002221 (base 3) in base 11?\nAnswer: -8303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 0*z + 0*z)*(6*z**2 - 4*z**2 + 5*z**2)*(-4*z + 4*z - z) in the form j*z**3 + u*z**2 + n + y*z**4 + a*z and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 9 - 0. Let f be (q\/8)\/(9\/(-6)). Let u = -2 + 3. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5 + 6)*(1 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 523275.3275+-4\nAnswer: 523271.3275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 349808 divided by -87452\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1593555*q**2 + 3088415?\nAnswer: -3187110*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 1408*s + 1712585. What is p(782)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -15 (b) -2 (c) -1\/5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3\/2, -9, -5, 0.4, -5.03 in increasing order.\nAnswer: -9, -5.03, -5, -3\/2, -1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 1269?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j. Let p(k) = 105*k. Let w(n) = 77*b(n) - 6*p(n). Let z(i) = 2*i. Determine w(z(f)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 3*v**2 + 200. Let r(g) = 6*g**3 + 17*g**2 - 1200. Give -6*r(d) - 34*s(d).\nAnswer: -2*d**3 + 400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.43 - 3.63. Which is the nearest to 2? (a) -2\/5 (b) -0.5 (c) -0.15 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x + 3*x**2 + 7*x - 3*x. Let v(l) be the third derivative of -l**5\/30 - 2*l**2. Calculate v(j(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/5 - l**3\/5.\nAnswer: l**3*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 146004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*a**3\/7 + 4959888*a**2\/7 + 1653290*a\/7 + 19682 = 0 for a.\nAnswer: -68887, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2694183524 to five dps.\nAnswer: -0.26942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813237 is divided by 3240?\nAnswer: 3237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**1))\/(x\/((x*x**(-8)*x)\/x)))\/(x*x*x*x\/((x\/x**(-3))\/x*x)*(x*x**(-1\/7))\/x))**(-27\/7) assuming x is positive.\nAnswer: x**(1674\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017 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: Expand (m - 6*m + 2*m)*(-3*m + 2 - 3 - 1).\nAnswer: 9*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110111101 - 10011001110?\nAnswer: -1111010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - -1 - (15 - (56 + -79)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 674*p + 131. Does 3 divide v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-4*h**2 + 5*h**2 + h**2 + (-2*h - 2*h + h)*(2*h + h - h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x - 6. Let l be q(2). Do l and 16\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0222072139 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223404115*l**3*n**3 - 4*l**3*n + 2*l**3 - l**2*n**3 + 2*l**2 + 2211*l*n + 3207*n + 2 wrt n.\nAnswer: 1340424690*l**3*n - 6*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 6*n + 22*n)*(0 - 6 + 4 + 2*n).\nAnswer: 48*n**2 - 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 0 - (32 + (-9 + 15 - 26))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/15)\/((-2)\/275). Let x = -117 - w. What are the prime factors of x?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12684492374 + 40.1.\nAnswer: 12684492414.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/5)\/(m*m\/(m**(-16)\/m)) assuming m is positive.\nAnswer: m**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:47 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = 2*d + 30*u + 31, 39*d - 4 = 42*d - u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11124*0.017\nAnswer: -189.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4298747?\nAnswer: 167, 25741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 15) in base 3?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**3 - 2*v - 3*v**3 - 6*v**3 + (-9*v**3 + 34*v**3 + 3*v**3)*(-9 + 12 + 5) + 3 - 2*v**3 - 3 - 4*v - 2*v**3 + 4*v.\nAnswer: 216*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*a - 52*a + 2032 = -12*a. Solve -a*g = 17*g - 66 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**10\/7560 + a**6\/180 - a**4\/2 - 4*a. Let i(c) be the third derivative of x(c). Find the second derivative of i(u) wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 8*y**2 - 16*y**2)*(1 - 3 - 9)*(-5*y + y + 3*y).\nAnswer: -143*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q + 42 + 34 - 3 = 5*d - 0, 5*q - 8*d + 18 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 + -1.9. Let w(i) = i**2 - 5*i - 7. Let u be w(5). Let x be (-2)\/(-2) + u\/5. What is the closest to x in m, -3, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1073954, -2148498, -3223042, -4297586, -5372130?\n\"Answer: -1074544*x + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 3. Let t = f + 22. What is the remainder when 43 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(24)\/sqrt(108) + (sqrt(242) - (sqrt(242)*-2 + 3) - sqrt(242)))*3)**2 + -5.\nAnswer: -4824*sqrt(2) + 36231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1341\/3*4\/(-12). Let g = 210 + q. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10496 and 1394?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6054110 to the nearest ten thousand.\nAnswer: 6050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 74*f - 88*f + 7*f**4 + 3*f**4 + f**5 wrt f.\nAnswer: 20*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10043130 (base 5) in base 16?\nAnswer: 13c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of (-5807109)\/(-189) + 5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 432628 and 6993.\nAnswer: 432195372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 2*x + 2. Let d(h) = 4*h**2 - 4*h**2 - 1938*h + 1939*h + 0*h**2 + h**2. Calculate 2*d(l) - o(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (-34 - -29).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2299 + -71327\/31. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 231, 236, 229, 204, 155?\n\"Answer: -m**3 + 12*m + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p + 14*p + 8*p + 14*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32782 is divided by 1310?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14113 - -26725. What are the prime factors of w?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/9))\/j**(-6)*(j**(2\/3))**(-9) assuming j is positive.\nAnswer: j**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 8:03 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751570262 to the power of 1\/2, to the nearest integer?\nAnswer: 41852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 3*j**4 + 9\/2*j**2 + 0*j**3 + 0*j - 11. Find the second derivative of m(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -4079\nAnswer: -407.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 53649678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53.7 - -53.7000022. What is v rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 890 - 939. Is (-43110)\/(-12) + v\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 24682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/12 - 8\/48. What is the third smallest value in -0.3, -6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 + 18373988*a + 18373987 = 0.\nAnswer: -18373987, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2111 + -1?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 4, t: 2, i: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5742*l**3 + 17204*l**3 - 5761*l**3 - 5703*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10273*b - 18169*b - 26368*b to the form j + p*b and give p.\nAnswer: -34264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -52. Is 13 a factor of -13*6\/((-12)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibx when three letters picked without replacement from eiibbbibbxbbiexxb?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(2 - (-4 + (-75)\/(-12))). Let p be (-3*h\/(-9))\/(13\/39). Find the third derivative of 2*b**5 - 14*b**5 - 6*b**5 - p*b**2 wrt b.\nAnswer: -1080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178181*x + 178211*x + 1320 = 0 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2185172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/45 + (-304)\/10. Let u = i + 31. Is 2\/15 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 7*f - 16. Determine k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7275337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127644, 511515, 1151610, 2047935, 3200496, 4609299, 6274350?\nAnswer: 8195655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 2*z - 3. Let g(s) = -4*s**2 + 6*s - 10. Let m(f) = -20*c(f) + 6*g(f). Factor m(v).\nAnswer: -4*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662647633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*z**2 - z + 158?\nAnswer: 64*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p = -45*p - 219. Calculate the remainder when p is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2012212 (base 3) to base 5\nAnswer: 22431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) - (-3404)\/16. Suppose -f + s = -134. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83955840*w**4 - 358715447.\nAnswer: 335823360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 1 + 1 - -7. Let c = w - -3. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*12\/32*8 - -9. Let j(m) be the second derivative of 3\/20*m**5 + m**4 + 17*m + 3*m**2 + 5\/2*m**p + 0. Let j(u) = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/40 - 66\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2464\/1848)\/(25\/((-20)\/(-48)*2)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, -128, 3, -2, -3.\nAnswer: -167, -128, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = -14. Solve 15 = -q*g - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + -1*(2 + sqrt(6292)*2 - ((sqrt(6292) + -1 - sqrt(6292)) + -4))))**2 + -2.\nAnswer: 4400*sqrt(13) + 629298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-1))\/(4\/(-4)))\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*k - 46, -b = -2*k + 22 + 48. Suppose 0 = 32*y - k*y + 487. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 19*v - 49 + 101 + 12*v - 52. Let p(l) = -15*l**2 - 21. Let n(j) = 3*j**2 + 4. Let m(y) = 21*n(y) + 4*p(y). Give m(w(z)).\nAnswer: 2883*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 (base 10) in base 16?\nAnswer: -eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 252\/3 - -2. Let a = 25 - h. Suppose -2*s = -4*w - 72, -a = -5*s + 2*s + 5*w. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3651861500 rounded to the nearest 1000000?\nAnswer: -3652000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*v - 6, -2*v = 3*y - 5*v - 6. List the prime factors of -3 - (4 + (-9)\/y)*568.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351525463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 7?\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27505\/15 + (-7)\/(42\/(-8)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433603793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1029090 + 2194019973\/2132. Find the common denominator of o and 97\/44.\nAnswer: 23452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00311607797 to 6 decimal places.\nAnswer: 0.003116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-2) - 0 - -1. Suppose -3*c = -5*d - 3 + 6, -5*c + o*d = -8. Calculate the highest common divisor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -1294a6?\nAnswer: -1294a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 4*q, 0*q = -5*q + j - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2482*p + 42188 + 27717 + 39303 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1616161 (base 7) to base 6\nAnswer: -4440334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-12) + 39\/9. What is the common denominator of -17\/22 and (-265)\/g*2\/(-36)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 21 = -a - 3*a, -15 = 5*s - 4*a. Let b(g) = 61*g**2 + 416*g - 73. Let k be b(-7). Sort k, -1, s, -48 in decreasing order.\nAnswer: k, s, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1483 - -7396. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(2\/(-12)). Suppose 0*r = -r - n. Let z(s) = 60*s + 1685. Let y be z(-28). Which is the closest to -0.1? (a) y (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3531 and 8239.\nAnswer: 24717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104081985 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 20 = 45*i. Sort 0, -6, i, 3 in ascending order.\nAnswer: -6, 0, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*g**4*w**3 - g**3*w**3 + 11*g**2*w - 2*g*w**3 wrt g.\nAnswer: -2088*g*w**3 - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**3 - 11*q**3 + 6*q**3 + q + 2*q**2. What is the units digit of m(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(637) + -3 + sqrt(637)*-2.\nAnswer: -7*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1668\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1348 = -3*y + 2591. Suppose y = 5*n - 207. Calculate the remainder when n is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*g = 108*g + 2808. Calculate the remainder when g is divided by 9 + (1 + -4)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + (-3 - 1) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 207*i - 2605. Determine k(16).\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*y**5 - 159*k*y**2 + 523967*k*y + 4943*y**2 + y + 1 wrt y?\nAnswer: -40*k*y**3 - 318*k + 9886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 - (-2 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*b**3 - 7 + 55*b**3 + 83*b**3 - 288*b**3 + 16 + 24*b**2.\nAnswer: -97*b**3 + 24*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 546413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let g = n - 0. Let c = 3787 + -3792. What is the nearest to 0 in g, 4, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/8, -1, 6710, 0.03, 2\/25?\nAnswer: 6710","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l - 9324*l**2 - 13*l + 35433*l**2.\nAnswer: 26109*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17234 - 17234. Solve k = 45*f - 142 - 173 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-1)\/(2 - -1)). Let r = -189 - -1135\/6. Let q be (-1)\/20*(-20)\/8. What is the closest to -1 in x, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4231 - 4151. Solve r*l - 84*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 46688*n**2 + 46682*n - 93372.\nAnswer: 2*(n - 1)*(n + 2)*(n + 23343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1747959813656 + -5.\nAnswer: 1747959813651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(810) + sqrt(10))*-4 - sqrt(10) - sqrt(10))\/sqrt(2) + 2.\nAnswer: -46*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*w - 6, -6 = 4*q + 3*w - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from ysysyssyyyss?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1836 + 4407 + 2846 + 4951 = 520*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1370 and 110.\nAnswer: 15070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*24\/9. Suppose -x*k + 36 = -5*t, -24 = -2*k - 0*t + 4*t. Let 4*u - 185 - 4*u**3 - 4*u**2 + k*u**4 + 185 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-397546.797081\nAnswer: -397544.797081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 - -217. Let i = -88 + u. Which is greater: i or 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 less than 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178263 and 792963?\nAnswer: 22995927","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2. Let f be 3 + -3 + (1 - u). Let t = 9 - -1. Solve -4*s + t = -3*d + d, 10 = -f*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 421 = -4*k, 0 = 3*f - 15. What is the greatest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-3 + sqrt(288) + sqrt(288)) + -4 + 4)*-6)**2.\nAnswer: -129600*sqrt(2) + 1044900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 485114*t**3 + 930945*t**2?\nAnswer: 2910684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9911*r = 9896*r - 165 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11010 + 112?\nAnswer: 11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2578494 by 939.\nAnswer: 2746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/24*107\/((-17655)\/396)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11564 is divided by 148.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -415174.931 rounded to the nearest one hundred?\nAnswer: -415200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*r**3 + 19*r - 19*r - 163*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138803 and 8228087.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -333*i**4\/4 - 367*i**3\/2 + 2*i - 473. Find the second derivative of y(r) wrt r.\nAnswer: -1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(-465)*(-25)\/15)\/((-10)\/(-9)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 44*j + 148. Calculate f(17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 803544 divided by -114792.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxcsxek. What is prob of picking 1 x, 1 e, and 1 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/40 - (-64)\/(-210)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/338 in -4, 3, -1\/4, -2\/11, -3\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24047 - 0.23\nAnswer: 24046.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 9*g. Let c(n) = -5 + n - 3*n + 2*n - 4*n. Let r be -3 + 5*4*2\/(-20). Let v(b) = -6*b - 8. Let z(s) = r*v(s) + 8*c(s). What is x(z(i))?\nAnswer: 4*i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/31, -77\/5, 0.1, 4\/3, 1\/6 in decreasing order.\nAnswer: 4\/3, 1\/6, 0.1, -3\/31, -77\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 12 = 3*u, 0 = -202*h + 206*h + 4*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10941, 43827, 98651, 175425, 274161?\nAnswer: 394871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*i = -2*f - 11, -2*i = 4*f + 8. Let w = 2 + f. What is the remainder when (4 - -1) + -2 + -1 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + (-6 - -3) + 6. Let o = 22 + p. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 1 + 1)*(2 + p - 2) + 4*p**5 - p**5 - p**5 - p**5 - 4 + 4 + (0*p**3 - 2*p**3 + 0*p**3)*(2*p**2 - p**2 - 3*p**2).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -169 and -196280.\nAnswer: -196449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (8 - (-6 - -3 - -7) - (-12 - -18))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-5)\/((-20)\/(-12)) + 4. Let m be (-3)\/(-9) - z*4\/(-144). Suppose 1\/2*f**3 - 1\/4*f**4 - 1\/4*f + 1\/2*f**2 - 1\/4 - m*f**5 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413865 is divided by 613?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-8)*22\/(-132).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116721714.\nAnswer: 2, 3, 521, 37339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -148 - -15bc?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.313210271167 from -26.\nAnswer: -25.686789728833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 - -95. What is the third derivative of -14*l**2 - a + 1816*l**5 - 1789*l**5 + 1 wrt l?\nAnswer: 1620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 1. Solve 5*p - 8 = i*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3142 + 223078\/71. Let a = n + 170\/497. Suppose -2 = -18*s + 17*s. Which is greater: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031369 is divided by 515669?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7198 (base 12) to base 10\nAnswer: 12356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/296772 and -59\/24.\nAnswer: 593544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 9, n: 1, u: 3, c: 4}. What is prob of picking 1 e and 1 u?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 divided by -15905?\nAnswer: -283\/15905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**27\/(u\/((u*u**8)\/u)) assuming u is positive.\nAnswer: u**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2645053 and 19.\nAnswer: 50256007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 3*u**2 + u. Let a be c(-2). Does 5 divide (-232)\/(-16) - (-1)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/5 or -861792?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 202*l**2 + 3*l.\nAnswer: 202*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*k + 64*k**2 + 100*k - 1 + 1.\nAnswer: 64*k**2 + 275*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5443 - 2844. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100\/583 - -5257511\/3498. Let f = d + -1496. Find the common denominator of ((-2)\/10)\/(72\/(-730)) and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -814\/2127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*u + 2*d, -7*d + 2*d + 15 = -5*u. Let q(s) = 2*s + 25 + 4*s - u*s - s - 2. Calculate q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 8*k**2 + k - 11. Give p(-6).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18366341 is divided by 3061055?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -26.37 times 7\nAnswer: -184.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0 - 0)\/((-6)\/(-30)*5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211820, 423627, 635434, 847241, 1059048, 1270855?\nAnswer: 1482662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**4\/12 + 5*y**3\/6 + 2*y**2 + 15*y. Factor u(x).\nAnswer: (x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*f - 56*f - 4685. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-9)\/m*m\/(m*m\/m**(-10)))\/((m*m*(m*m**(-1))\/m*m)\/m*m*m**(-13)))**(-35) assuming m is positive.\nAnswer: m**350","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/15)\/((-15)\/45)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788208113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6*(-12)\/72)\/((90\/84)\/15))\/(-12).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1196604658 to the nearest integer?\nAnswer: 34592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**5\/120 + 461*v**4\/72 - 17633*v**3\/12 - 17787*v**2\/4 + 789*v. Suppose n(y) = 0. Calculate y.\nAnswer: -1, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*t - 85, -2*x + x + 4*t = -26. Suppose -x = -2*f - 0*f. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggllglv. What is prob of picking 1 g and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 z when four letters picked without replacement from {i: 1, u: 4, z: 9}?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/107980016 and -7\/1341700?\nAnswer: 2699500400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 + 6*l + 2*l**3 - 8*l + 5 - 3*l**4 in the form m*l**4 + z*l**2 + g*l + y + c*l**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/11 + 25*d**2\/11 - 2*d - 48\/11.\nAnswer: -(d - 24)*(d - 2)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igmeiqqguqeeg. Give prob of picking 1 e and 3 g.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3582 and 3505434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 432\/32*4\/6. Suppose -5*q = -a - 1. Suppose -2 = -f + q*d, 2*f + f - 2 = 2*d. Which is smaller: f or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inn when three letters picked without replacement from {n: 9, i: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*(1 + (-9)\/6). Let w be (-6)\/j*(-4)\/6. Which is smaller: w or 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62034, 123970, 185906, 247842, 309778, 371714?\n\"Answer: 61936*m + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 102.5. Round x to the nearest integer.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.53, -1, 66.41?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**2 - 12*l + 52. Calculate v(3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -88\/333?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)\/l)**10*(l**(-25)\/l)\/l**7)**43 assuming l is positive.\nAnswer: l**(-2064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y + 16. Suppose 3*o - 2*m = 98 + 27, -4*o + y*m + 160 = 0. Suppose 3*u = -0*v + 2*v + 70, -2*u + o = -3*v. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/(z**20\/z*z))))\/z**(-1\/5))\/(z**(-4\/5)\/z**(-1\/2)))**(-22) assuming z is positive.\nAnswer: z**407","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15275 - -15277. Which is the smallest value? (a) -1 (b) 0.2 (c) -1219 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4 + 29*b**3 - 3*b**2 + 149*b.\nAnswer: 72*b + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -320, 242000, 4, 3, -2 in increasing order.\nAnswer: -320, -2, 3, 4, 242000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)\/o*o*o)**(1\/2))**(5\/7)*((o**(-2))**(15\/7))**(-15\/4) assuming o is positive.\nAnswer: o**(915\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + q - 31 = 65 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 222*u**2 - 221*u**2 + 4 + 1 in the form q*u**2 + z*u + h and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -169. Let r = t - -256. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, f: 1, r: 5, b: 1, c: 4, k: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 1585*s**2 + 70002*s + 3255. Determine j(1628).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = 5*w - 8911, 4*w - 2*s - 7118 = 0. Suppose 4*m - 595 = w. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/1341 + -108617\/2682. Suppose 312 = 7*v + v. Let u = g + v. Is u bigger than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/8*0\/7. Let f be h\/95*(-2)\/(-4). Factor -1\/4*a**4 - 1\/2*a**3 + f + 1\/2*a + 1\/4*a**2.\nAnswer: -a*(a - 1)*(a + 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 5. Let f be o(9). Let x = f - -1. Solve x = -4*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k - 156. Let x be s(8). Let t(j) be the third derivative of j**4\/24 + 2*j**3\/3 + 2*j**2 + 56. Determine t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efss when four letters picked without replacement from {s: 3, e: 6, b: 1, f: 3, l: 2}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -79.015 and 3633124.\nAnswer: 3633044.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(2\/3)\/h)\/h)*h)**(-2\/11)\/(h**(-3)\/(h*(h\/h**(2\/5))\/h))*(h\/h**(1\/2))**(11\/6)*h**(-3\/8)\/h**(-5\/4) assuming h is positive.\nAnswer: h**(6317\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605974 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963516699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2\/7 - 144345*p\/7 + 44886078\/7 = 0 for p.\nAnswer: 313, 47802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 6*c + 2. Let r be p(6). Let v be 6\/4 + 0 - 60\/(-40). What is the third derivative of r*j - 2*j + v*j**3 - j**2 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -153\/8, 8, -1\/5, -3 in ascending order.\nAnswer: -153\/8, -3, -1\/5, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y + 1. Let f be p(-2). Let g = f + -1. Suppose -g = a + a + 4*r, -15 = 2*a + 5*r. Solve -w - w = a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 7*u**2 + 4*u - u - 8*u**2 to d*u**2 + f + t*u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -685*l**3\/6 - 3*l**2\/2 - 40*l + 2. Suppose -4 = -5*d + 6, 4*a + 6 = -d. Is i(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g - 2. Suppose 3*p = -r - 11, 0 = -18*p + 14*p - 5*r - 11. Let i(y) = -19*y - 2. Let n(u) = p*j(u) + 3*i(u). Let x(h) = 2*h. Give n(x(b)).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 - 29*m + 103)*(4*m - 2*m - m)*(1125 - 2459 + 1000)*(2 + 2 - 6).\nAnswer: -19372*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 - 90*z + 79. What is m(-11)?\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(75)*6.\nAnswer: -150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g - 106. Let c be s(-9). Sort 152, 3, c.\nAnswer: c, 3, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -5 - 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161740969.\nAnswer: 3, 240193441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4738.192 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 13*w - 7. Let v(h) = h**3 - 6*h - 3. Let g be 18\/3 + -2 - 0. Suppose 3*s = -5*y - 8, -4*y = -0*s + g*s. Determine y*x(t) + 9*v(t).\nAnswer: t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 368636.1l?\nAnswer: 368636100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2186*a**3*k**2 + 12332839*a**3 - 187*k**3 wrt k?\nAnswer: -4372*a**3*k - 561*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72187 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-28))\/(5\/(-10)). Let d be (-3)\/((-1)\/((-6)\/99)). What is the closest to d in 1, g, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 645*y - 657. What is f(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1135)\/(-360) - 3) + (-6)\/16\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)\/(sqrt(5) + sqrt(10)\/sqrt(2)) - sqrt(34))*2)\/((sqrt(288) - 1*sqrt(288)) + (sqrt(50)*2 - sqrt(50))).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 44 = -4*t, 0 = 3*t - 1 + 4. What are the prime factors of 9\/6*-1 + (-3436)\/z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 472 + -68522?\nAnswer: -68070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t = 12. Suppose g = 4 + t. Suppose -11*r + g*r = -3. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*f**4 - 3*f**2 - 4*f**2 - 1 + 2*f + 5*f**2 + 2*f**3 - 4*f as s*f + x + o*f**3 + w*f**4 + u*f**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 25 - 5 + 53 + 5*v**3 - 15.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028 divided by -514?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/4 < 2\/14742853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 26 - -58) + -16 + -12.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2. Let o = -5 - -7. Let x(m) = -m - o + 2. Give j(x(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 94\/(-8) - 41525\/(-3020). Factor 2\/7*h**j - 54\/7 + 12\/7*h.\nAnswer: 2*(h - 3)*(h + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -59\/2 (c) -670 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 131 (c) 1\/2 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/5 (b) 14\/3 (c) 0.05 (d) -5 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 395 and 439.\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -1340496405 and 635.\nAnswer: -1340495770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14*r**3 + 5*r**2 - 7002*r - 15. Let m(t) = -6*t**3 - 2*t**2 + 3501*t + 6. Determine 2*i(o) + 5*m(o).\nAnswer: -2*o**3 + 3501*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = -2*j + 2*y, 0 = 5*j + 4*y - 13. What is the biggest value in 0.4, j, -2\/19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:45 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-20\/3)*f*f**(-11))\/(f**(-22\/7)\/f**5) assuming f is positive.\nAnswer: f**(122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.539579 hours?\nAnswer: 12742484400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7625 and 1098.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k - 17. Let z(u) = -11*u + 33. Determine -7*r(b) - 3*z(b).\nAnswer: -2*b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h - 13. Let w be b(-3). Suppose -10 = -w*p - 3*r, -r - 12 = -p - 2. Suppose 0 = -p*v + 9*x - 4*x + 10, 5*v + x = 22. Solve -1 = -v*i + 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(468) + 4 - sqrt(468)) + sqrt(13) + -5*sqrt(832) + 4)**2.\nAnswer: -19837 + 624*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**2 + 9*y**2 + 34*y**3.\nAnswer: 34*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/80 - 1\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 21 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09469 - 8.97131. Let c = 42.966 - 43. Let b = w + c. What is b rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/28*(10 - 3). Suppose -l*z = 3*z + 196. What are the prime factors of (-938)\/z + 6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2\/21, -6577, -7, -4 in decreasing order.\nAnswer: -2\/21, -4, -7, -19, -6577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3706, -3730, -3788, -3898, -4078, -4346, -4720, -5218?\n\"Answer: -3*t**3 + t**2 - 6*t - 3698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -6.1, -1?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -53*h - 8. Let y be g(-1). What is the greatest common divisor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221352091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(1088)*-6 - (-3 + ((sqrt(1088) + -1)**2 - sqrt(1088))))*-6.\nAnswer: -39096 + 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 7\/54*k**4 + 4\/9*k**2 + 0 - 16\/27*k**3 - 18*k. Let m(c) = 0. Calculate c.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -375*a + 378*a - 2560, -a + 830 = 3*t. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31486632*g**3 + 12300142.\nAnswer: 94459896*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bey when three letters picked without replacement from {b: 4, e: 1, y: 2, z: 3, j: 1, k: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 2*j**2 - 3*j**2 + (2 + 2*j - 2)*(2*j - 2*j + 2*j) - j + j - j**2 - 439784*j + 963*j**2 + 439784*j in the form d*j**2 + m + w*j and give d.\nAnswer: 967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*u - u + 4, -5*h - 44 = -u. What is the smallest value in -1, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + h - 2. Let f be u(-2). Let p(y) = y**2 + y + 57. Let a be p(0). Let d = a - f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*y - 122 - 275, 0 = -2*d - 2*y + 422. Calculate the common denominator of -13\/18 and ((-8)\/144)\/(2\/d).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 939*h + 538*h**2 + 287*h**2 - 973*h.\nAnswer: 825*h**2 - 34*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from cccddcdcdddddddd.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471 (base 9) to base 5.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 - 1. Let t be y(-1). Suppose -t*c - 3 + 9 = 0. Solve -6*q - 26 = -q + c*k, 0 = -2*q - 3*k - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -49*v**4\/138 - 28*v**3\/23 - 36*v**2\/23 - v + 9. Factor k(y).\nAnswer: -2*(7*y + 6)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4\/2 - 39*s**3\/2 - 44*s**2 + 870*s - 1400 = 0.\nAnswer: -35, -10, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9758 - -9760. Let c(l) be the second derivative of -1\/4*l**4 - 17*l + 0*l**3 + 0 + 4\/5*l**5 + 0*l**x. Find the third derivative of c(h) wrt h.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1066469, 2132924, 3199375, 4265822?\nAnswer: 5332265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127357 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 832*m - 831*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1681057\/9 + -186783. Suppose 0*j - 8\/9*j**2 - 16\/9*j**3 + 0 + g*j**5 + 14\/9*j**4 = 0. What is j?\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11847 is divided by 1462?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -13. Suppose g = 2*g - z. Suppose -460*p + 465*p = 45. What is the lowest common multiple of p and g?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/(6*9\/378)*179\/(-358)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 22, 146.\nAnswer: 5, 22, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.36.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -253*k**2 + 0*k**3 - 1\/105*k**7 + 2\/15*k**5 + 1\/30*k**6 + 0*k - 1\/336*k**8 + 0*k**4 + 0. Factor p(c).\nAnswer: -c**2*(c - 2)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31392 and 2236.\nAnswer: 17548128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*b, 0*o = 5*o + 2*b - 28. Let l(f) be the first derivative of 0*f - 2\/35*f**5 - 2\/7*f**3 + 2 - 3\/14*f**o - 1\/7*f**2. Factor l(c).\nAnswer: -2*c*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*a - 5*o, 0 = -4*a - o + 76 - 20. Solve -26*l = -31*l - a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17568226, -17568198, -17568170, -17568142?\nAnswer: -17568114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 0*f**5 + 0*f**4 + 0*f**3 + 32*f**2 + 15 + 0*f - 17\/3*f**6. What is the second derivative of o(j) wrt j?\nAnswer: -680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((120\/(-520))\/((-4)\/78))\/(1\/(-2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25739944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 50*v + 12. Let q be m(25). What is the hundreds digit of (-3112 + q)*4\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 84? (a) -2\/5 (b) 2\/25 (c) 0.8 (d) -3\/41 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 35.3. Let h = -0.3 + j. Let y = 40.2 + -40. Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*1073.\nAnswer: 75.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -714 + 716.97. Let s = 3 - k. What is s rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 353015.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-6) + (-350)\/(-588). What is the third smallest value in 5, 0, 5\/4, k?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p - 2*p)*(2 + 0 - 4)*(4 + 30 + 56).\nAnswer: 540*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.087 (c) 1016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -982*r**2 + 5899*r - 49. Give a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.274018 hours in seconds?\nAnswer: 4586.4648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-5)\/6)\/(96\/128).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.117 millilitres in litres?\nAnswer: 0.387117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 202860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g**3 + g**2 - 3*g - 3. Suppose f = -2*f + 3. Suppose 0 = -q + 2*l - 4, -3*q = -3*l + 10 - f. Is j(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, 1, 4, 69, -5, -1, -29 in decreasing order.\nAnswer: 123, 69, 4, 1, -1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*c = 25 - 28, 0 = -5*w - 2*c - 2. Solve 3*t + 2*r = -21, 0 = -w*t + 3*t - 5*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - c - 2*r = 17, -106*c - r - 40 = -115*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -388*u - 233*u - 149*u to l + z*u and give z.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3 + 12 + 142*u**2.\nAnswer: 142*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -27*q - 24. Is j(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 24 = 3*p. Solve 3*x + 9 + p = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3 + 5. Suppose -3*s + 14 = -4. Suppose 4 = 2*p + s. Put r, p, -5 in increasing order.\nAnswer: -5, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 - 14*w**4 - 208*w**3 - 480*w**2.\nAnswer: 2*w**2*(w - 15)*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*r - 1778 = 363 + 14659 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*((-7)\/(-14) - (-390)\/8). Let a = 332 - z. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + l + 15 = 0, 0 = -3*l + 8*l + 478 - 378 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -98*v. Let x(m) = 3*m. Determine b(x(p)).\nAnswer: -294*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*c**2*l**2*n + 130*c**2*l*n - c**2*l + 326*c*l - 3*l**2 + 3 with respect to n.\nAnswer: 43*c**2*l**2 + 130*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52913807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7622298682 minus -37?\nAnswer: -7622298645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-918)\/45)*1585\/(-951)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -19, -28, -37, -46, -55?\n\"Answer: -9*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247756, -495509, -743262, -991015, -1238768, -1486521?\nAnswer: -1734274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-10) + 3267\/(-135) + 24. Solve -s*f = 18*f - 40 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -2 + 349 + -381?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 21 - 16 + 5*g + 16. Let j = 15 - 8. Let s be z(j). Calculate the highest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128713129 to the power of 1\/2, to the nearest integer?\nAnswer: 11345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/2 - r**3\/2 + 9*r**2\/2 - 11*r\/2 + 2 = 0. What is r?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((-46)\/(-138))\/(1\/(-9)). Let i = 9 + -6. Suppose -2*p = -4*n - 3*p - 3, 4*n - 7 = -3*p. Sort i, r, n in ascending order.\nAnswer: n, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -552*d**3 - 4*d + 2 + 553*d**3 + 2 + 0 - d**2. Give f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s - 10. Let i(b) = -7*b**2 - 7*b - 4. What is x(i(k))?\nAnswer: -49*k**2 - 49*k - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 715 * 330\nAnswer: 235950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.71 + -2.6. Let q = t - -0.89. Let l = q + -0.9. Round l to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*b = -71*b - 1. Is 1 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 90, -14, -1, -6 in ascending order.\nAnswer: -14, -6, -1, 0, 1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k**2 + k + 14. What is f(-4)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:01 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 942250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 2, -2, -0.1, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38403777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-4)\/4 - 10\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008322963 to six decimal places.\nAnswer: -0.000832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5978.086 + 22479.924. Let j = f - 16553. Let y = 0.062 + j. What is y rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 36 = -3*d + 3*s, -7 = d + 5*s. Suppose 27 = 4*c + 5*c. Suppose 400 = d*k - c*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)*p)\/p)**(-1\/51)*(p*p**(1\/3))**7 assuming p is positive.\nAnswer: p**(1427\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r - 5. What is q(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 146887 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183 - 181. What is the nearest to -4\/7 in -3, n, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/s**(7\/2)*s*s**8*(s*s*s**20)\/((s\/s**(-10))\/s) assuming s is positive.\nAnswer: s**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 71 + 10 - v**2 - 60.\nAnswer: -5*v**2 - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 876715*k. Let v(t) = 4*t**2. What is c(v(j))?\nAnswer: 3506860*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10*18862293\nAnswer: -188622930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1184 (b) 38 (c) -5 (d) -0.1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1))**(3\/40))**(-2\/9))**(-21))**(-36) assuming k is positive.\nAnswer: k**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:12 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 1. Let c(o) = o + 6. Let m be c(-4). Let d be (m - 1)\/(1\/(-1)). Let j be (d + 4 - -1)*-1. Calculate a(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 1837313.\nAnswer: 1837309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f - 1. Let b be q(-7). Let t be (b - 6) + 1 + (0 - -2). What is the greatest common factor of t and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-25996)\/(-536))\/(2 - 1\/(188\/374)). Calculate the highest common factor of 47 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617975005 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 divided by -7?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 315 + 27. Suppose 31*h - 34*h - i = 0. Let q = 27 + h. Calculate the smallest common multiple of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -137*s**2 - 11*s + 56. Let i(k) = 27*k**2 + 2*k - 10. Calculate -4*h(m) - 22*i(m).\nAnswer: -46*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8)\/(7\/210*-10).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 657 and 333?\nAnswer: 24309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1620 and -73\/6804?\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.04312 + -0.643065. Let y = 2 + 0.4. Let h = t - y. Round h to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 1401*w + 4230 = 0 for w.\nAnswer: -3, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 392171 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: In base 16, what is -3 + -71?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -14 (b) 40 (c) -5 (d) -0.01 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 19. Let n(x) = -x**2 + y + 3*x + x**3 - 3*x**2 - 4. Let v be 4 - 1 - 0*4\/(-16). Give n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c + 9. Let s be p(1). Suppose 4*q + 0*g - 333 = -s*g, 0 = -2*q + 5*g + 173. Let n = q - 80. Sort -7, 3, 1, n.\nAnswer: -7, 1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2 (c) -3 (d) 0.07 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 1, m: 2, k: 1}. What is prob of sequence vmkm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 189 = 3*t, 3*b + 727 - 165 = -4*t. What is the common denominator of 14\/9 and (-112)\/(-630)*b\/(-16)*2?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}